A physical quantity sensor includes a substrate, a pair of first elements detecting acceleration in a first direction, and a pair of second elements detecting an acceleration in a second direction. The first element portion includes a first movable portion displaceable in the first direction, first and second movable electrode fingers disposed in the first movable portion, first and second fixing electrode fingers disposed to face the first and second movable electrode fingers, and first and second support portions supporting the first and second fixing electrode fingers. The second element includes a second movable portion displaceable in the second direction, third and fourth movable electrode fingers disposed in the second movable portion, third and fourth fixing electrode fingers disposed to face the third and fourth movable electrode fingers, and third and fourth support portions supporting the third and fourth fixing electrode fingers.

A physical quantity sensor includes a substrate, a pair of first elements detecting acceleration in a first direction, and a pair of second elements detecting an acceleration in a second direction. The first element portion includes a first movable portion displaceable in the first direction, first and second movable electrode fingers disposed in the first movable portion, first and second fixing electrode fingers disposed to face the first and second movable electrode fingers, and first and second support portions supporting the first and second fixing electrode fingers. The second element includes a second movable portion displaceable in the second direction, third and fourth movable electrode fingers disposed in the second movable portion, third and fourth fixing electrode fingers disposed to face the third and fourth movable electrode fingers, and third and fourth support portions supporting the third and fourth fixing electrode fingers.

Provided is a vibrator device including a vibrator structure body. When the A axis, the B axis, and the C axis are three axes orthogonal to each other, the vibrator structure body includes a vibrator element and a support substrate that is aligned with the vibrator element along the C axis. The vibrator element includes vibrating arms configured to flexurally vibrate along a plane parallel to the A axis and the B axis and along the A axis. The support substrate includes a base that supports the vibrator element, a support that supports the base, and a beam that couples the base and the support. A relationship f0<f1 is satisfied in which f0 is a resonance frequency of a vibration of the vibrator structure body along the B axis and f1 is a drive frequency of the vibrator element.

Provided is a vibrator device including a vibrator structure body. When the A axis, the B axis, and the C axis are three axes orthogonal to each other, the vibrator structure body includes a vibrator element and a support substrate that is aligned with the vibrator element along the C axis. The vibrator element includes vibrating arms configured to flexurally vibrate along a plane parallel to the A axis and the B axis and along the A axis. The support substrate includes a base that supports the vibrator element, a support that supports the base, and a beam that couples the base and the support. A relationship f0<f1 is satisfied in which f0 is a resonance frequency of a vibration of the vibrator structure body along the B axis and f1 is a drive frequency of the vibrator element.

A vibratory gyroscope system is described which utilizes a mechanical resonator having a first mode of vibration and an associated first natural frequency, and a second mode of vibration having an associated second natural frequency. The angular rate of motion input couples energy between the first and second modes of vibration. The gyroscope has driver circuits, sensors and actuators for the first and second modes. The invention utilizes a bias error shifting method which provides for shifting the bias error away from DC to a higher frequency, where it can be removed by low pass filtering. As a result of the inventive method, gyroscope systems can be produced with significantly lower bias error.

A vibratory gyroscope system is described which utilizes a mechanical resonator having a first mode of vibration and an associated first natural frequency, and a second mode of vibration having an associated second natural frequency. The angular rate of motion input couples energy between the first and second modes of vibration. The gyroscope has driver circuits, sensors and actuators for the first and second modes. The invention utilizes a bias error shifting method which provides for shifting the bias error away from DC to a higher frequency, where it can be removed by low pass filtering. As a result of the inventive method, gyroscope systems can be produced with significantly lower bias error.

A rotation-rate sensor having a substrate with main extension plane, for detecting a rotation rate, extending in a direction parallel/orthogonal to the main plane; the sensor including a primary/secondary pair of seismic masses; the primary pair having first/second primary masses; the secondary pair having first/second secondary masses; the first/second primary masses being movable relative to the substrate along a primary deflection direction extending parallel to the main plane; the first/second secondary masses being movable relative to the substrate along a secondary deflection direction extending parallel to the main plane; the first/second primary masses and the first/second primary masses being movable antiparallel or parallel to one another corresponding to the deflection direction, essentially extending orthogonally to the secondary deflection direction; and the primary pair and/or secondary pair being drivable so that, based on sensor rotation, the Coriolis force leads to deflection of the first/second primary masses and/or the first/second secondary masses.

A rotation-rate sensor having a substrate with main extension plane, for detecting a rotation rate, extending in a direction parallel/orthogonal to the main plane; the sensor including a primary/secondary pair of seismic masses; the primary pair having first/second primary masses; the secondary pair having first/second secondary masses; the first/second primary masses being movable relative to the substrate along a primary deflection direction extending parallel to the main plane; the first/second secondary masses being movable relative to the substrate along a secondary deflection direction extending parallel to the main plane; the first/second primary masses and the first/second primary masses being movable antiparallel or parallel to one another corresponding to the deflection direction, essentially extending orthogonally to the secondary deflection direction; and the primary pair and/or secondary pair being drivable so that, based on sensor rotation, the Coriolis force leads to deflection of the first/second primary masses and/or the first/second secondary masses.

One embodiment of the invention includes a vibrating-mass gyroscope system. A sensor system includes a substantially planar vibrating-mass including opposite first and second surfaces and electrodes that extend longitudinally in a periodic pattern across the first and/or second surfaces. The electrodes include sets of drive and sense electrodes that are capacitively coupled to respective matching sets of drive and sense electrodes associated with a housing and which are separated from and facing the respective first and second surfaces. A gyroscope controller generates a drive signal provided to one of the array of drive electrodes and the substantially matching array of drive electrodes to provide for in-plane periodic oscillatory motion of the vibrating-mass, and generates a force-rebalance signal that is provided to one of the array of sense electrodes and the substantially matching array of sense electrodes to calculate rotation of the vibrating-mass gyroscope system about an input axis.

One embodiment of the invention includes a vibrating-mass gyroscope system. A sensor system includes a substantially planar vibrating-mass including opposite first and second surfaces and electrodes that extend longitudinally in a periodic pattern across the first and/or second surfaces. The electrodes include sets of drive and sense electrodes that are capacitively coupled to respective matching sets of drive and sense electrodes associated with a housing and which are separated from and facing the respective first and second surfaces. A gyroscope controller generates a drive signal provided to one of the array of drive electrodes and the substantially matching array of drive electrodes to provide for in-plane periodic oscillatory motion of the vibrating-mass, and generates a force-rebalance signal that is provided to one of the array of sense electrodes and the substantially matching array of sense electrodes to calculate rotation of the vibrating-mass gyroscope system about an input axis.