Abstract: An apparatus is described that includes a substrate having a first plate and a second plate. The first plate and the second plate collectively have a first mode when excited by a drive signal and have a second mode when excited by a gyroscopic effect. The first and second plates each include a temperature-compensated stack having first and third layers that have a stiffness that increases with increasing temperature over a temperature range with a second layer between the first and third layers, where the second layer is formed from a different material than the first and third layers.

Abstract: Mechanical resonating structures and related methods are described. The mechanical resonating structures may provide improved efficiency over conventional resonating structures. Some of the structures have lengths and widths and are designed to vibrate in a direction approximately parallel to either the length or width. They may have boundaries bounding the length and width dimensions, which may substantially align with nodes or anti-nodes of vibration.

Abstract: Systems and methods for operating with oscillators configured to produce an oscillating signal having an arbitrary frequency are described. The frequency of the oscillating signal may be shifted to remove its arbitrary nature by application of multiple tuning signals or values to the oscillator. Alternatively, the arbitrary frequency may be accommodated by adjusting operation one or more components of a circuit receiving the oscillating signal.

Abstract: Systems and methods for operating with oscillators configured to produce an oscillating signal having an arbitrary frequency are described. The frequency of the oscillating signal may be shifted to remove its arbitrary nature by application of multiple tuning signals or values to the oscillator. Alternatively, the arbitrary frequency may be accommodated by adjusting operation one or more components of a circuit receiving the oscillating signal.

Abstract: Micromechanical resonating devices, as well as related methods, are described herein. The resonating devices can include a micromechanical resonating structure, an actuation structure that actuates the resonating structure, and a detection structure that detects motion of the resonating structure.

Abstract: Mechanical resonating structures are described, as well as related devices and methods. The mechanical resonating structures may have a compensating structure for compensating temperature variations.

Abstract: Devices including integrated components are described. The components may be integrated by being formed on a single substrate. The components may be integrated by being formed on separate chips within a multi-chip module. The components being integrated may include mechanical resonating structures, which in some instances may be piezoelectric mechanical resonating structures.

Abstract: A device or system that incorporates teachings of the present disclosure may include, for example, a resonant structure having a plate, a mass and a set of electrodes. The plate can have an extensional mode at a frequency when excited. The set of electrodes can be used to measure an acceleration of the mass when the acceleration of the mass changes the frequency of the plate. Other embodiments are disclosed.

Abstract: Devices having piezoelectric material structures integrated with substrates are described. Fabrication techniques for forming such devices are also described. The fabrication may include bonding a piezoelectric material wafer to a substrate of a differing material. A structure, such as a resonator, may then be formed from the piezoelectric material wafer.

Abstract: Mechanical resonating structures are described, as well as related devices and methods. The mechanical resonating structures may have a compensating structure for compensating temperature variations.

Abstract: Mechanical resonating structures are described, as well as related devices and methods. The mechanical resonating structures may have a compensating structure for compensating temperature variations.

Abstract: Micromechanical resonating devices, as well as related methods, are described herein. The resonating devices can include a micromechanical resonating structure, an actuation structure that actuates the resonating structure, and a detection structure that detects motion of the resonating structure.

Abstract: In one embodiment, an apparatus comprises a micromechanical gyroscope and a circuit. The micromechanical gyroscope is configured to be excited in a first mode by a drive signal, and configured to be excited in a second mode by a gyroscopic effect. The circuit is coupled to the micromechanical gyroscope and configured to detect the gyroscopic effect when the micromechanical gyroscope is in the second mode.

Abstract: Methods and apparatus for calibration and temperature compensation of oscillators having mechanical resonators are described. The method(s) may involve measuring the frequency of the oscillator at multiple discrete temperatures and adjusting compensation circuitry of the oscillator at the various temperatures. The compensation circuitry may include multiple programmable elements which may independently adjust the frequency behavior of the oscillator at a respective temperature. Thus, adjustment of the frequency behavior of the oscillator at one temperature may not alter the frequency behavior at a second temperature.

Abstract: Timing oscillators as well as related methods and devices are described. A timing oscillator may include a mechanical resonating structure with major elements and minor elements coupled to the major element. The timing oscillator can generate stable signals with low phase noise at very high frequencies which allows a timing oscillator to be used effectively in a number of devices including computers and mobile phones for time and data synchronization purposes. The signal generated by the timing oscillator can be tuned using a driver circuit and a compensation circuit.

Abstract: In one embodiment, an apparatus includes a resonant structure having a plate, a drive electrode and a sense electrode. The resonant structure defines an axis substantially orthogonal to a plane defined by the plate when the resonant structure is not excited. The plate is formed from a piezoelectric material. The drive electrode is configured to excite the resonant structure, and the sense electrode is configured to sense a signal in response to rotation of the resonant structure about the axis.

Abstract: Micromechanical membranes suitable for formation of mechanical resonating structures are described, as well as methods for making such membranes. The membranes may be formed by forming cavities in a substrate, and in some instances may be oxidized to provide desired mechanical properties. Mechanical resonating structures may be formed from the membrane and oxide structures.

Abstract: Mechanical resonating structures are described, as well as related devices and methods. The mechanical resonating structures may have a compensating structure for compensating temperature variations.

Abstract: Mechanical resonating structures are described, as well as related devices and methods. The mechanical resonating structures may have a compensating structure for compensating environmental changes.

Abstract: Timing oscillators as well as related methods and devices are described. A timing oscillator may include a mechanical resonating structure with major elements and minor elements coupled to the major element. The timing oscillator can generate stable signals with low phase noise at very high frequencies which allows a timing oscillator to be used effectively in a number of devices including computers and mobile phones for time and data synchronization purposes. The signal generated by the timing oscillator can be tuned using a driver circuit and a compensation circuit.