Abstract: A gyroscope includes a ring-shaped resonator mounted in a housing, and a bottom plate attached to the resonator. A plurality of openings arranged substantially circumferentially on the bottom plate, and a plurality of grooves between the openings. A plurality of piezoelectric elements are located in the grooves. The resonator is substantially cylindrical. The plurality of openings are arranged substantially symmetrically. The piezoelectric elements can be outside the resonator, or inside the resonator. A cylindrical flexible suspension connecting the bottom to the resonator to the ring shaped resonator, wherein an average radius of the cylindrical flexible suspension and the ring shaped resonator, accounting for variation thickness of wall, is the same throughout.

Abstract: A gyroscope includes a ring-shaped resonator mounted in a housing, and a bottom plate attached to the resonator. A plurality of openings arranged substantially circumferentially on the bottom plate, and a plurality of grooves between the openings. A plurality of piezoelectric elements are located in the grooves. The resonator is substantially cylindrical. The plurality of openings are arranged substantially symmetrically. The piezoelectric elements can be outside the resonator, or inside the resonator. A cylindrical flexible suspension connecting the bottom to the resonator to the ring shaped resonator, wherein an average radius of the cylindrical flexible suspension and the ring shaped resonator, accounting for variation thickness of wall, is the same throughout.

Abstract: A vibrational gyroscope includes a piezoelectric ring having a central opening, and a hemispherical resonator having a central opening and mounted over the opening of the central opening of the piezoelectric ring. A plurality of electrodes delivers a voltage to the piezoelectric ring. A plurality of electrodes provides signal readout that corresponds to angular velocity. The hemispherical resonator can be glued to the piezoelectric ring. The hemispherical resonator preferably vibrates in the third vibration mode. A plurality of capacitive electrodes can be located at nodes and at antinodes of the vibration of the hemispherical resonator, and provide a signal readout that corresponds to the angular velocity. The piezoelectric ring is segmented, non-segmented, or includes an outer segmented portion and an inner non-segmented portion.

Abstract: A gyroscope includes a substantially cylindrical resonator mounted in a housing, and a bottom plate attached to the resonator. A plurality of openings are arranged circumferentially and equiangularly on the bottom plate. A plurality of piezoelectric elements arranged between the openings on the bottom plate. The number of openings can be anywhere between 2 and 16, with eight openings preferred, with a corresponding number of piezoelectric elements. Preferably, substantially the entire available area of the bottom plate is taken up by the piezoelectric elements. The piezoelectric elements can be inside or outside the resonator.

Abstract: A gyroscope includes a ring-shaped resonator mounted in a housing, and a bottom plate attached to the resonator. A plurality of openings arranged substantially circumferentially on the bottom plate, and a plurality of grooves between the openings. A plurality of piezoelectric elements are located in the grooves. The resonator is substantially cylindrical. The plurality of openings are arranged substantially symmetrically. The piezoelectric elements can be outside the resonator, or inside the resonator. A cylindrical flexible suspension connecting the bottom to the resonator to the ring shaped resonator, wherein an average radius of the cylindrical flexible suspension and the ring shaped resonator, accounting for variation thickness of wall, is the same throughout.

Abstract: A compensating accelerometer includes a housing, and a sensing element mounted in the housing. The sensing element includes a pendulum flexibly mounted on a base. The sensing element includes a coil mounted on a movable plate, a curtain having a slit, and a load mass affixed to the curtain. An angle sensor within the housing includes the curtain, a fork, a light source and a differential light detector. A momentum sensor within the housing includes a permanent magnet, an inner magnetic conductor, an outer magnetic conductor and the coil. The permanent magnet is magnetized in a direction of an axis of the pendulum. A stopper is used to adjust position of the fork. A spring is on opposite side of the fork, for taking up slack in the fork. A fixator has an eccentric, for adjusting a gap between the curtain and the light detector.

Abstract: A gyroscope includes a substantially cylindrical resonator mounted in a housing, and a bottom plate attached to the resonator. A plurality of openings are arranged circumferentially and equiangularly on the bottom plate. A plurality of piezoelectric elements arranged between the openings on the bottom plate. The number of openings can be anywhere between 2 and 16, with eight openings preferred, with a corresponding number of piezoelectric elements. Preferably, substantially the entire available area of the bottom plate is taken up by the piezoelectric elements. The piezoelectric elements can be inside or outside the resonator.

Abstract: A servo compensating accelerometer includes a top housing half and a bottom housing half rigidly connected together, and each having coaxial threaded openings. A sensing element is positioned between the top and bottom halves and affixed to the bottom half. Top and bottom magnetic systems, each of which has a magnetic conductor, a permanent magnet and a field concentrator, the magnetic systems being mounted within the respective top and bottom halves of the housing using the threaded openings. A momentum sensor includes the top and bottom magnetic systems, and also includes two movable coils mounted on a plate and positioned within the magnetic systems. A differential angle sensor includes toroidal excitation coils located on the permanent magnets, the magnetic systems and the coils of the momentum sensor. Zero bias of the accelerometer's angular displacement sensor is tuned by adjusting the position of the magnetic systems by moving them in the threaded openings.

Abstract: A method of measuring acceleration includes suspending an inertial body using a magnetic fluid; generating a magnetic field within the magnetic fluid; modulating the magnetic field to counteract a change in position of the inertial body relative to sources of the magnetic field due to acceleration; and calculating the acceleration based on the modulation. The calculating step derives the acceleration based on an amount of current through drive coils required for the modulation. The acceleration includes linear acceleration and/or angular acceleration. The drive coils include permanent magnets, electromagnets, or a combination of a permanent magnet and an electromagnet. Sensing coils can be used for detecting the displacement of the inertial body. Each sensing coil can be positioned substantially within a corresponding drive coil. The inertial body can be non-magnetic, weakly magnetic, or have a ferromagnetic coating.

Abstract: A computer input device includes a magnetized fluid and an inertial body within the magnetized fluid. A signal converter provides angular acceleration information based on behavior of the inertial body. The computer input device can be attached to a Virtual Reality Suit, or can be used to control computer-generated graphical objects. The inertial body can be non-magnetic. The body can be solid or hollow. Electromagnets and/or permanent magnets can be used for magnetizing the fluid. Magnetic coils sense the changes in the magnetic flux lines. Signals from the magnetic coils are used by the signal converter to calculate the angular acceleration. A housing encloses the magnetized fluid and the inertial body.

Abstract: A location tracking device utilizing an acceleration sensor is described. The acceleration sensor includes an inertial body in magnetic fluid that is contained in a closed volume vessel. The tracking device may be used for tracking objects, people, animals, and the like. The tracking device may be utilized as a back-up system to a GPS system such that when signal from a GPS receiver are unavailable, the location tracking device may provide positional information about the location of the object.

Abstract: A vibrational gyroscope includes a piezoelectric ring having a central opening, and a hemispherical resonator having a central opening and mounted over the opening of the central opening of the piezoelectric ring. A plurality of electrodes delivers a voltage to the piezoelectric ring. A plurality of electrodes provides signal readout that corresponds to angular velocity. The hemispherical resonator can be glued to the piezoelectric ring. The hemispherical resonator preferably vibrates in the third vibration mode. A plurality of capacitive electrodes can be located at nodes and at antinodes of the vibration of the hemispherical resonator, and provide a signal readout that corresponds to the angular velocity. The piezoelectric ring is segmented, non-segmented, or includes an outer segmented portion and an inner non-segmented portion.

Abstract: A gyroscope includes a substantially cylindrical resonator mounted in a housing, and a bottom plate attached to the resonator. A plurality of openings are arranged circumferentially and equiangularly on the bottom plate. A plurality of piezoelectric elements arranged between the openings on the bottom plate. The number of openings can be anywhere between 2 and 16, with eight openings preferred, with a corresponding number of piezoelectric elements. Preferably, substantially the entire available area of the bottom plate is taken up by the piezoelectric elements. The piezoelectric elements can be inside or outside the resonator.

Abstract: A compensating accelerometer includes a housing, and a sensing element mounted in the housing. The sensing element includes a pendulum flexibly mounted on a base. The sensing element includes a coil mounted on a movable plate, a curtain having a slit, and a load mass affixed to the curtain. An angle sensor within the housing includes the curtain, a fork, a light source and a differential light detector. A momentum sensor within the housing includes a permanent magnet, an inner magnetic conductor, an outer magnetic conductor and the coil. The permanent magnet is magnetized in a direction of an axis of the pendulum. A stopper is used to adjust position of the fork. A spring is on opposite side of the fork, for taking up slack in the fork. A fixator has an eccentric, for adjusting a gap between the curtain and the light detector.

Abstract: An accelerometer includes a housing, a magnetic fluid within the housing, and an inertial body suspended in the magnetic fluid and generally constrained to move along a single axis. Centering magnets are positioned on two sides of the inertial body along the axis. A detector provides a signal indicative of acceleration based on displacement of the inertial body. A plurality of stops can be placed on the inertial body inside the housing. A coil winding can be placed on the housing to be coupled to the inertial body for maintaining the inertial body substantially in place. Cavities with air can be on sides of the inertial body. Openings in the housing can be placed at locations of the cavities. The inertial body can have a channel connecting the cavities. The detector can be a Hall sensor, a digital Hall sensor, or two Hall sensors for differential detection of the acceleration. The housing can have two lids that substantially enclose, within the housing, magnetic fields from the centering magnets.

Abstract: A servo compensating accelerometer includes a top housing half and a bottom housing half rigidly connected together, and each having coaxial threaded openings. A sensing element is positioned between the top and bottom halves and affixed to the bottom half. Top and bottom magnetic systems, each of which has a magnetic conductor, a permanent magnet and a field concentrator, the magnetic systems being mounted within the respective top and bottom halves of the housing using the threaded openings. A momentum sensor includes the top and bottom magnetic systems, and also includes two movable coils mounted on a plate and positioned within the magnetic systems. A differential angle sensor includes toroidal excitation coils located on the permanent magnets, the magnetic systems and the coils of the momentum sensor. Zero bias of the accelerometer's angular displacement sensor is tuned by adjusting the position of the magnetic systems by moving them in the threaded openings.

Abstract: A sensor includes a housing and a magnetic fluid within the housing that incompletely fills the housing. An inertial body is in contact with the magnetic fluid. Displacement of the inertial body relative to the magnetic fluid is indicative of acceleration on the housing. The acceleration includes linear and/or angular acceleration. The inertial body can be an air bubble, or a dissimilar liquid. A plurality of magnets are mounted on the housing, wherein the magnetic fluid is positioned in droplets between the magnets and the inertial body. The magnetic fluid can be a single droplet between each magnet and the inertial body, or multiple droplets between each magnet and the inertial body. The remaining volume in the housing can be filled with a non-magnetic fluid.

Abstract: A housing for a magnetofluidic sensor where the sensor has a plurality of drive magnet assemblies, magnetic fluid and an inertial body. The housing has a plurality of ports for securing respective drive magnet assemblies, such that a portion of each drive magnet assembly is positioned within the housing proximate the magnetic fluid. Each drive magnet assembly includes a magnetic field source for creating a magnetic field within the magnetic fluid for acting upon the inertial body. Each drive magnet assembly also includes a sensing element for sensing movement of the inertial body within the magnetic fluid.

Abstract: A gyroscope includes a substantially cylindrical resonator mounted in a housing, and a bottom plate attached to the resonator. A plurality of openings are arranged circumferentially and equiangularly on the bottom plate. A plurality of piezoelectric elements arranged between the openings on the bottom plate. The number of openings can be anywhere between 2 and 16, with eight openings preferred, with a corresponding number of piezoelectric elements. Preferably, substantially the entire available area of the bottom plate is taken up by the piezoelectric elements. The piezoelectric elements can be inside or outside the resonator.

Abstract: A method of measuring phase includes receiving an analog signal; converting the analog signal into a digital signal; representing the digital signal as N sets of samples; aligning the N sets of samples to a common time frame; removing zero bias drift from the digital signal; and calculating a phase of the analog signal based on the digital signal with the zero bias drift removed. The phase can have a time resolution substantially equal to a time between adjacent samples.