Abstract: A distributed simulation system is composed of simulator stations linked over a network that each renders real-time video imagery for its user from scene data stored in its data storage. The simulation stations are each connected with a physics farm that manages the virtual objects in the shared virtual environment based on their physical attribute data using physics engines, including an engine at each simulation station. The physics engines of the physics farm are assigned virtual objects so as to reduce the effects of latency, to ensure fair fight requirements of the system, and, where the simulation is of a vehicle, to accurately model the ownship of the user at the station. A synchronizer system is also provided that allows for action of simulated entities relying on localized closed loop controls to cause the entities to meet specific goal points at specified system time points.

Abstract: A system for automated machine design is disclosed. The system may have at least one of a part database and a relationship database, a display device, and an input device. The system may also have one or more processors in communication with the at least one of a part database and a relationship database, the display device, and the input device. The processors may be configured to cause a listing of components selectable by a customer for inclusion within a machine to be shown on the display device, and to receive a selection of the components from the listing by the customer via the input device. The processors may also be configured to retrieve data regarding selected components from the at least one of the part database and the relationship database, and to generate a design for at least one new support component in the machine based on the selected components and the data.

Abstract: An optimizing design method for a chassis structure of electronic equipment is disclosed, including: investigating from the point of view of mechanical, electric and thermal three-field coupling, determining the preliminary design size of the chassis, performing a mechanical analysis by using a mechanical analysis software such as ANSYS; converting the mesh model among the three-fields, obtaining the mesh model used for the electromagnetic and thermal analyses; setting the thermal analysis parameters, performing the thermal analysis by using an electromagnetic analysis software such as ICEPAK; determining a resonance frequency of the chassis and an electric parameter of the absorbing material, performing an electromagnetic analysis by using a thermal analysis software such as FEKO; correcting the analysis result by sample testing; determining whether the chassis satisfies the design requirement, if it satisfies the requirement, the optimizing design will be finished, otherwise, modifying the preliminary compu

Abstract: A method for creating, from a first axisymmetrical surface, a second surface belonging to a sub-system of a complex system, in which the second surface observes at least one constraint, is disclosed. The method includes: modeling the first axisymmetrical surface, while observing the constraints with at least one parameter, the modeling step including a sub-step for discretizing the first axisymmetrical surface in several points, the parameter being a coordinate of one of these points in a reference system associated with at least one portion of this sub-system, and a sub-step for reconstructing the first axisymmetrical surface from the at least one point and from the at least one constraint; modifying the at least one parameter in the reference system for modeling the second surface; and recording the second surface in a memory of the computer.

Abstract: Certain embodiments of the invention may include systems and methods for providing electrical fault restoration. According to an example embodiment of the invention, a method can include sectioning a de-energized region into two or more de-energized areas; simulating opening or closing of one or more circuit switches associated with the two or more de-energized areas; compiling a listing of simulated energized areas and simulated de-energized areas, based on the simulated opening or closing of the one or more circuit switches; evaluating the listing of simulated energized areas and simulated de-energized areas, based at least in part on one or more configurable strategy modules; and generating a restoration plan based at least in part on the evaluation.

Abstract: An apparatus and method for supporting harness design. Harness information including a pass position of a harness is set on a three-dimensional model. Then, it is determined whether the harness whose position is decided so as to pass through the set pass position interferes with a mechanical part that is read from a storing unit that stores therein three-dimensional model data on the mechanical part through which the harness passes. When it is determined that the harness interferes with the mechanical part, from among a plurality of surfaces of the mechanical part, a surface that has not been selected is selected, and a pass position of the harness is set outside the selected surface. Then, a position of the harness that passes through the set pass position is decided. These processes are repeated until it is determined that the harness does not interfere with the mechanical part.

Abstract: A method of making a patient specific surgical guide includes obtaining a virtual model of a fixation member, and virtually designing a guide that defines at least one hole that corresponds to a hole of the virtual model of the fixation member.

Abstract: A method for selecting at least one drill bit that includes characterizing an application; checking for at least one drill bit with an equivalent characterization in a data store; when the at least one drill bit with the equivalent characterization exists, selecting the at least one drill bit with the equivalent characterization; and when the at least one drill bit with the equivalent characterization does not exist, recommending at least one drill bit, making an analysis request, analyzing the at least one recommended drill bit based on the analysis request, generating analysis results, and selecting at least one drill bit based on the analysis results is disclosed.

Abstract: The systems and methods disclosed herein employ a combination of digital three-dimensional modeling and rapid fabrication technologies to provide pre-indexed, pre-registered, and/or precut components for articulated dental models. Dental articulators and components of dental models as described herein use a positioning key to encode positional information for components of the dental model, and/or a reference grid on mounting surfaces to enforce local accuracy of fabricated parts against a fixed reference array.

Abstract: Methods of manufacturing a custom arthroplasty resection guide or jig are disclosed herein. For example, one method may include: generating MRI knee coil two dimensional images, wherein the knee coil images include a knee region of a patient; generating MRI body coil two dimensional images, wherein the body coil images include a hip region of the patient, the knee region of the patient and an ankle region of the patient; in the knee coil images, identifying first locations of knee landmarks; in the body coil images, identifying second locations of the knee landmarks; run a transformation with the first and second locations, causing the knee coil images and body coil images to generally correspond with each other with respect to location and orientation.

Abstract: Systems for generating a graphical representation of an anticipated product produced by a machine are disclosed. A system for generating predicted product values of a product manufactured by a machine controlled by programmable logic control code includes presenting a machine input fields requesting parameters associated with actuators and mechanical elements, and presenting product input fields requesting desired product properties. The system further includes receiving parameters from the machine input fields, receiving desired product properties from the product input fields, and calculating output response data by an emulation of a mechanical operation of the machine using the parameters and the desired product properties. The output response data is provided to a product model that calculates predicted product values based on the output response data, prepares process output messages for display and displays the graphical representation of the anticipated product based upon the predicted product values.

Abstract: Virtual material handling systems can be used to drive the operation of real material handling systems for purposes such as testing and validation of the components of the real material handling systems. The real material handling system, in turn, can provide data regarding system operation which may be fed back to the virtual material handling system to control its function.

Abstract: A method (200) for the characterization of vibrational and/or acoustic transfer path related data of a physical system (100) where vibration or acoustics may play a role. The method (200) has a step of receiving (210) input data for at least one input point of the physical system and/or response data for at least one response point of the physical system (100). The method (200) further has a step of receiving (220) at least one system response function between the at least one input point and the at least one response point indicative of the transfer of vibration and/or acoustic signals. The method (200) also has a step of applying (230) at least one parametric model characterising at least one load on the physical system as a function of the input data, where the parametric models are identified from the input data and/or response data and the physical system response functions.

Abstract: Methods for computing the inverse dynamics of multibody systems with contacts are disclosed. Inverse dynamics means computing external forces that cause a system to move along a given trajectory. Such computations have been used routinely for data analysis and control synthesis in the absence of contacts between rigid bodies. The disclosed inverse dynamics methods include the ability to handle contacts. The disclosed methods include the following steps: projecting the discrete-time equations of motion from joint space to contact space; defining the forward dynamics in contact space as the solution to an optimization problem; using the features of this optimization problem to obtain a unique inverse—which turns out to correspond to the solution to a dual optimization problem; solving the latter using standard methods for numerical optimization; projecting the solution from contact space back to joint space and finding the external forces.

Abstract: A simulator (10) for estimating a life of a speed reducer includes a rotation speed and load calculator (21) for simulating the operation program of a robot (12) and calculating the rotation speed of the robot speed reducers (G1-Gm) and the load exerted on the individual speed reducers; a storage (22) for chronologically correlating the rotation speed and the load and storing the rotation speed and the load; a speed reducer life calculator (23) for calculating the life of the individual speed reducers, based on the rotation speed and the load; an operating ratio setter (24) for setting an operating ratio of the robot; and a speed reducer life estimator (25) for estimating the life of the speed reducers, based on the life of the individual speed reducers and the operating ratio.

Abstract: A tire mold design method includes determining the values and parameters of various mold components used in a mold and utilizing these mold components in a mold. The parameters of the mold components may vary in length and edge geometry, amongst other things. Additionally, the number of mold components utilized in a mold may vary. Optionally, various mold components may be rotated 180 degrees.

Abstract: Systems and methods which provide modeling or simulation of gamma ray (GR) tool response using a hybrid analytical and numerical technique are shown. Embodiments employ a GR tool simulation technique which provides gamma ray information simulated as a function of only the gamma particles which reach the detector without scattering. Embodiments utilize a discretization function to determine the gamma particles which would reach a point detector from each unit volume source of an investigation domain without scattering. Embodiments further utilize the foregoing discretization function with respect to a plurality of point detectors, wherein the particular number and configuration of point detectors are selected to relatively accurately simulate the results of a particular GR detector configuration, such as line detector or volume detector configurations.

Abstract: A wind turbine generator comprising a rotor, a stator and an air gap between a gap-delimiting region of the stator and a gap-delimiting region of the rotor; wherein the rotor and/or the stator are deformable under operational loads and configured in such a way that the air gap resulting from the presence of operational loads is more uniform than the air gap in the absence of operational loads. A method for optimizing an air gap between a gap-delimiting region of a stator and a gap-delimiting region of a rotor of a wind turbine generator, said rotor and/or said stator being deformable under operational loads and said optimization consisting in that the air gap resulting from the presence of the set of operational loads is more uniform than the air gap in the absence of the set of operational loads.

Abstract: A method implemented by computer means, for optimizing the settings of an ophthalmic system comprising an ophthalmic lens arranged to be fitted in a spectacle frame according to a given wearer, the method comprising the steps of: providing to the computer means wearer, frame and lens data comprising a 3D representation of the, respectively wearer's face, frame and lens, generating positioning data based on the wearer, frame and lens data, said positioning data comprising the respective position of the wearer face with respect to the spectacle frame associated with the ophthalmic lens, and upon a modification request, modifying the settings of the ophthalmic lens to be manufactured and fitted in the spectacle frame, so as to modify the positioning data.

Abstract: The present disclosure includes a generalized kinematics library which may be used to control the motion of a machine tool system and to process data for other applications, such as simulation graphics. Methods are disclosed to interpolate the movement of various axes of a machine tool system through a machine singularity point.

Abstract: A computer-implemented method for applying details in a simulation includes obtaining first data corresponding to a first simulation of matter in a space domain. The method includes performing, using the first data, a second simulation of the matter producing second data representing details for the first simulation, the second data distributed in the space domain using a grid where each cell has a common depth-to-size ratio from a camera perspective. The method includes rendering an image of the matter, wherein the second data is obtained from the grid and used in the rendering.

Abstract: A method for analyzing energy savings for a building is provided. The method includes receiving a historical energy usage and a weather data for a building, a set of operations parameters describing building operations and a set of building system parameters describing building systems. A baseline configuration is submitted to a first energy consumption simulation to determine a baseline energy usage profile. A calibrated configuration is determined from the baseline configuration and the historical energy usage. The calibrated configuration is submitted to a second energy consumption simulation to determine a calibrated energy usage profile. A hypothetical configuration is determined from the calibrated configuration and a set of energy improvement measures. The hypothetical configuration is submitted to a third energy consumption simulation to determine a hypothetical energy usage profile and report.

Abstract: A method of improving the high-speed uniformity of tire performance that reduces low and/or high harmonics. The method includes determining a force variation that is created by rotation of a first tire, having a first tread design, at high speed. A second order harmonic of the force variation is analyzed. A second tire design is generated that circumferentially shifts one or more ribs of the first tread design to minimize the second order harmonic alone or in combination with other order harmonics.

Abstract: The invention relates to a method of predicting when a grease in a grease-lubricated rolling element bearing (10) will reach an unacceptable condition. According to the invention, a time series of a parameter is measured and recorded, whereby the parameter is directly or indirectly indicative of a degree of breakdown of a lubricant film separating the rolling contacts. With the aid of processing means (22), the time series is analyzed, a dynamic model is constructed that predicts the evolution of parameter values, and the model is used to extrapolate the time series. A time at which a predefined limit will be exceeded is then determined from the extrapolated time series, whereby the predefined limit is representative of unacceptable grease condition. The method according to the invention can be used to predict a relubrication interval for an individual grease-lubricated bearing.

Abstract: Embodiments may include systems and methods to create and edit a representation of a worksite, to create various data objects, to classify such objects as various types of pre -defined “features” with attendant properties and layout constraints. As part of or in addition to classification, an embodiment may include systems and methods to create, associate, and edit intrinsic and extrinsic properties to these objects. A design engine may apply of design rules to the features described above to generate one or more solar collectors installation design alternatives, including generation of on-screen and/or paper representations of the physical layout or arrangement of the one or more design alternatives. Embodiments may also include definition of one or more design apertures, each of which may correspond to boundaries in which solar collector layouts should comply with distinct sets of user-defined design preferences.

Abstract: Disclosed are methods and systems for determining and displaying a simulated deformation of a 3D object data model. In one aspect, a method is disclosed that includes causing a force to be applied to an object to cause a deformation of the object and causing a plurality of reference scans of the object to be captured. The method further includes, based on the plurality of reference scans, generating a 3D object data model representing the object and, further based on the plurality of reference scans, identifying a constraint point of the 3D object data model, where the constraint point represents a point of minimum deformation of the object. The method still further includes selecting a predefined deformation model, where the predefined deformation model defines a simulated deformation, and where the simulated deformation simulates at least a portion of the deformation of the object proximate to the point of minimum deformation.

Abstract: A position detection and simulation platform includes software configurable logic and programmable inputs and outputs to support software configuration only changes for use with a variety of position feedback devices including synchros, resolvers, linear variable differential transformers, and rotary variable differential transformers. Power to the software configurable outputs is dynamically controlled so that the power supply voltage presented to the outputs satisfies a minimum threshold above the amplitude of the output signal. Dynamic control is based on at least one of a digital representation of a signal to be output, an analog version of the signal to be output, or the signal being output.

Abstract: A method and apparatus for estimating error in a multi-axis controlled machine is applicable to any type of machine configuration in order to estimate and confirm in advance the final position and the posture of the machine, which are produced when geometric errors of the machine are synthesized. The method includes defining the structure of the multi-axis controlled machine subjected to error estimation; and defining parameters, which represent behaviors of drive axes having geometric error and relationships between the drive axes according to the defined structure of the multi-axis controlled machine, adding the defined parameters by applying the parameters to a generalized error synthesis model, and generating an error synthesis model of the multi-axis controlled machine by applying a result of parametric modeling in response to a result of the adding.

Abstract: Methods of using computer based models for simulating the physical behavior of webs.

Abstract: A designing method of a wind turbine rotor includes: providing operation environment data indicative of an operation environment of a wind turbine generator including the wind turbine rotor and design data of the wind turbine blade; calculating a position of a center of mass of the wind turbine blade in each position in a lengthwise direction of the wind turbine blade in the operation environment from the operation environment data and the design data; and calculating an evaluation value which is a value depending on an integral value obtained by integrating a product of the calculated position of the center of mass of the blade and a mass per unit length at each position in a lengthwise direction of the wind turbine blade from a blade root portion of the wind turbine blade to a blade tip end of the same.

Abstract: In an automated system which includes a robot manipulator, a workcell, and a control system implemented on a hardware platform based on a programmable logic controller (“PLC”), a method and apparatus for performing integrated simulation that does not require the presence of both the robot manipulator and the workcell. If one component is real, the other component is simulated so as to be sufficiently responsive to responses from the real component such that the real component is unable to discern that the other component is not also real. A computing device simultaneously displays simulacra of both the components, real and simulated, and visualizations of the responses provided by each.

Abstract: A system includes an interface configured to receive one or more images from an inspection of a component of a mechanical system. Each of the one or more images includes corresponding annotations that at least define one or more dimensions of the component or damages observed in the component. The system also includes a processor configured to construct a degradation model for the component based, at least in part, on the one or more images and their corresponding annotations received by the interface. The processor is further configured to determine one or more maintenance recommendations for the component based, at least in part, on the degradation model constructed for the component.

Abstract: A method for designing a fixed cutter drill bit includes simulating the fixed cutter drill bit drilling in an earth formation, determining a dynamic centerline trajectory of the drill bit, and adjusting at least one design parameter based upon the graphical display of at least the dynamic centerline trajectory. To improve performance, the method can include graphically displaying the dynamic centerline trajectory and/or repeating the simulating, determining, displaying and adjusting to change a simulated performance of the fixed cutter drill bit. A drill bit design may be selected and a drill bit may be made according to the design resulting from the method of designing.

Abstract: Disclosed is a method for estimating downhole lateral vibrations a drill tubular disposed in a borehole penetrating the earth or a component coupled to the drill tubular. The method includes rotating the drill tubular to drill the first borehole and performing a plurality of measurements in a time window of one or more parameters of the drill tubular at or above a surface of the earth during the rotating using a sensor. The method further includes estimating the downhole lateral vibrations using a processor that receives the plurality of measurements.

Abstract: A process for the verification and validation testing of equipment and components for drilling, completion, production and general well construction (typically such as subsurface safety valves, wellhead trees, blowout preventers and wireline pressure control equipment) to determine the suitability of such equipment for use in oil and gas wells in high pressure high temperature environments. In particular, the process of the present invention comprises, among other steps, the steps of analyzing such components using an elastic-plastic finite element model with respect to certain preset load conditions and establishing stable model convergence, conducting a ratcheting assessment by running analysis on such model on all components that exhibit local plasticity, and examining all components to determine fatigue sensitive locations and subjecting such components to a fatigue analysis.

Abstract: A design method for optimizing the shear layer of a shear band for use in a tire is provided. The shear layer has a honeycomb configuration and the design method optimizes the dimensions of the honeycomb.

Abstract: An estimation method that can estimate a stream temperature in a turbojet including: digitally modeling the stream temperature with help of a modeled signal; and correcting the modeled signal with help of an error signal, a signal obtained after correction representing an estimate of the stream temperature. When predetermined conditions relating to at least one operating stage of a turbojet and to temperature stability are satisfied, the error signal is updated from the modeled signal and from a measurement signal of the stream temperature as delivered by a temperature sensor.

Abstract: With a simulation apparatus for a system including a motor-driven compressor, a compressor that does not suffer from a driving torque shortage and surging, but can operate at low costs, can be provided. A simulation apparatus for a motor-driven compressor system includes a simulation section in which a driving motor, a compressor driven by the driving motor, a suction throttle valve controlling the inlet flow rate of the compressor, and an anti-surge valve interposed between pipes for returning a part of gas discharged from the compressor to the inlet side of the compressor are translated into unit models and stored. The simulation apparatus further includes an input section through which designed specification data of the compressor is input, a data setting section storing the designed specification data, and a display section displaying unsteady-state Q-H characteristics and required driving torque obtained through simulation by the simulation section.

Abstract: A method for selecting at least one drill bit that includes characterizing an application; checking for at least one drill bit with an equivalent characterization in a data store; when the at least one drill bit with the equivalent characterization exists, selecting the at least one drill bit with the equivalent characterization; and when the at least one drill bit with the equivalent characterization does not exist, recommending at least one drill bit, making an analysis request, analyzing the at least one recommended drill bit based on the analysis request, generating analysis results, and selecting at least one drill bit based on the analysis results is disclosed.

Abstract: Compute program products including an emulator module are disclosed. A computer program product includes a computer usable medium having computer readable program code for emulating a process of a machine having actuators and mechanical elements. The computer readable program code includes computer readable code instructions configured to display a graphical user interface having input fields corresponding to the actuators and mechanical elements, and to display a graphical representation of output response data of the machine using inputted parameters. Computer readable code instructions for receiving a plurality of parameters inputted into the plurality of input fields, and for emulating a mechanical operation of the machine using the plurality of parameters inputted into the plurality of input fields by simulating the programmable logic controller code are included. Output response data based on an emulation of the mechanical operation of the machine is generated and displayed.

Abstract: A Modeling, Design, Analysis, Simulation, and Evaluation (MDASE) aspects of gyrocompassing in relation to Far-Target Location (FTL) systems include a Gyrocompass Modeling and Simulation System (GMSS). The GMSS has four major components: the 6 degree-of-freedom (6DOF) Motion Simulator, the IMU Sensor Simulator, the Gyrocompass System and Calibration Process Simulator, and the Gyrocompass System Evaluation and Analysis Module. The modular architecture of GMSS makes it very flexible for programming, testing, and system maintenance. The realization of the GMSS is based on any computer platforms for the GMSS software is written in high level language and is portable. The stochastic signal analysis and sensor testing and modeling tools include a suite of generic statistical analysis software, including Allan Variance and power spectral density (PSD) analysis tools, which are available to every GMSS module and greatly enhanced the system functionality.

Abstract: A radiation analysis system/method that automatically optimizes the efficiency calibration of a counting system based on benchmark data and variable parameters associated with radiation source/sensor/environment (RSSE) combinations is disclosed. The system/method bifurcates RSSE context (SSEC) model parameters into WELL-KNOWN (fixed) parameters (WNP) and NOT-WELL-KNOWN (variable) parameters (NWP). The NWP have associated lower/upper limit values (LULV) and a shape distribution (LUSD) describing NWP characteristics. SSEC models are evaluated using randomized statistical NWP variations or by using smart routines that perform a focused search within the LULV/LUSD to generate model calibration values (MCV) and calibration uncertainty values (UCV) describing the overall SSEC efficiencies. Sensor measurements using the MCV/UCV generate a measurement value and uncertainty estimation value.

Abstract: A method of stimulating a deformable object comprises modeling deformable elasticity for the object by defining an actual shape and a goal shape and pulling points in the goal shape towards corresponding points in the goal shape.

Abstract: A system and method of developing better-designed medical devices, particularly cardiovascular stents and endovascular grafts. The system comprises a geometry generator, a mesh generator, a stress/strain/deformation analyzer, and a visualization tool. Using analysis, preferably non-linear analysis, the stress/strain/deformation analyzer determines the predicted stresses, strains, and deformations on the candidate medical device. Such stresses, strains, and deformations may optionally be simulated visually using a visualization tool.

Abstract: A computer-aided method suitable for assisting in the design of an aircraft by providing relevant dimensioning values corresponding to an aircraft component in transonic conditions inside a predefined parameter space by means of a reconstruction of the CFD computations for an initial group of points in the parameter space using a POD reduced-order model, comprising the following steps: a) Decomposing for each flow variable the complete flow field into a smooth field and a shock wave field in each of said computations; b) Obtaining the POD modes associated with the smooth field and the shock wave field considering all said computations; c) Obtaining the POD coefficients using a genetic algorithm (GA) that minimizes a fitness function; d) Calculating said dimensioning values for whatever combination of values of said parameters using the reduced-order model. The invention also refers to a system able to perform the method.

Abstract: Provided is an automated determination of an optimized parameterization of a scatterometry model for analysis of a sample diffracting structure having unknown parameters. A preprocessor determines from a plurality of floating model parameters, a reduced set of model parameters which can be reasonably floated in the scatterometry model based on a relative precision for each parameter determined from the Jacobian of measured spectral information with respect to each parameter. The relative precision for each parameter is determined in a manner which accounts for correlation between the parameters for a combination.

Abstract: Arc welding simulations that provide simulation of virtual destructive and non-destructive testing and inspection of virtual weldments for training purposes. The virtual testing simulations may be performed on virtual weldments created using a virtual reality welding simulator system (e.g., a virtual reality arc welding (VRAW) system). The virtual inspection simulations may be performed on “pre-canned” (i.e. pre-defined) virtual weldments or using virtual weldments created using a virtual reality welding simulator system. In general, virtual testing may be performed using a virtual reality welding simulator system (e.g., a virtual reality arc welding (VRAW) system), and virtual inspection may be performed using a standalone virtual weldment inspection (VWI) system or using a virtual reality welding simulator system (e.g., a virtual reality arc welding (VRAW) system).

Abstract: Emulator computer program machines including an emulator module are disclosed. A machine includes a computer usable medium having computer readable program code for emulating a process of a machine having actuators and mechanical elements. The computer readable program code includes computer readable code instructions configured to display a graphical user interface having input fields corresponding to the actuators and mechanical elements, and to display a graphical representation of output response data of the machine using inputted parameters. Computer readable code instructions for receiving a plurality of parameters inputted into the plurality of input fields, and for emulating a mechanical operation of the machine using the plurality of parameters inputted into the plurality of input fields by simulating the programmable logic controller code are included. Output response data based on an emulation of the mechanical operation of the machine is generated and displayed.

Abstract: Emulator computer program methods using an emulator module are disclosed. A computer program method includes a computer usable medium having computer readable program code for emulating a process of a machine having actuators and mechanical elements. The computer readable program code includes computer readable code instructions configured to display a graphical user interface having input fields corresponding to the actuators and mechanical elements, and to display a graphical representation of output response data of the machine using inputted parameters. Computer readable code instructions for receiving a plurality of parameters inputted into the plurality of input fields, and for emulating a mechanical operation of the machine using the plurality of parameters inputted into the plurality of input fields by simulating the programmable logic controller code are included. Output response data based on an emulation of the mechanical operation of the machine is generated and displayed.

Abstract: The accuracy or computation speed of mechanical analysis of a golf ball using the finite element method is increased. In the mechanical analysis, a model representing the golf ball is prepared on a computer, and computation is made by the finite element method using elements and nodes. At this time, the elements are made solid elements of hexahedron, the aspect ratio of the shape of each element is set so as to be not lower than 1.0 and not substantially higher than 6.5, and nodes are provided on the sides and at the vertexes of the hexahedron of element.