The present disclosure relates to sensor for measuring angular rotation rates, and more particularly to z-axis gyroscopes where the oscillation of a ring-shaped structure in a given plane is utilized to detect the magnitude of angular rotation about an axis perpendicular to that plane. The present disclosure further concerns transducers which may be used to drive the primary ring oscillation, to measure the magnitude of the primary ring oscillation, to detect the secondary ring oscillation induced by angular rotation, or to drive oscillation in the secondary mode that may cancel by electromechanical feed-back the induced oscillation, and/or dampen the secondary resonance peak, and/or cancel the directly coupled secondary mode oscillation that is in quadrature phase to the induced oscillation.
Microelectromechanical gyroscopes use the Coriolis effect to measure angular velocity. In oscillating MEMS gyroscopes, an object is driven into oscillating movement by an actuating drive force. This oscillation will be called “primary oscillation” or “drive oscillation” in this disclosure, and the oscillation mode will be labelled called the “primary mode”. It may also be labelled the “primary resonance mode”, since the ring typically oscillates in resonance. In MEMS gyroscopes the drive oscillation can involve linear or rotational oscillation of a solid inertial mass, but it can also involve flexible deformation of a ring-shaped structure. This disclosure focuses exclusively on applications of the latter kind.
When a ring in drive oscillation undergoes an angular rotation rate Ω about the z-axis (perpendicular to the xy-plane defined by the ring), the ring is affected by the Coriolis force Fc. The magnitude and direction of the Coriolis force on a given segment of the ring is determined by the magnitude and direction of oscillating motion on that segment of the ring and by the magnitude of the angular rotation rate vector. The oscillation caused by the Coriolis force in the ring will be called “secondary oscillation” or “sense oscillation” in this disclosure, and the oscillation mode will be labelled called the “secondary mode” or the “secondary resonance mode”.
The primary mode involves ring oscillation along the two transversal symmetry axes. The two extremes of this oscillating movement have been illustrated with dotted lines in
When the ring undergoes an angular rotation rate Ω about the central z-axis (illustrated in the middle of the ring), segments on the ring are influenced by the Coriolis force Fc. The forces Fc marked on the first dotted line 12 illustrate the local direction of the Coriolis force when the ring is expanding along the first transversal axis T1. When segment 121 on the right-hand side moves in the positive x-direction, Fc points in the negative y-direction in this segment. When segment 122 on the left-hand side moves in the negative x-direction, Fc points in the positive y-direction in this segment. Simultaneously, segment 123 moves in the negative y-direction and Fc points in the negative x-direction in this segment. Segment 124 moves in the positive y-direction and Fc points in the positive x-direction in this segment, as illustrated in
Similarly, the forces Fc marked on the second dotted line 13 illustrate the local direction of the Coriolis force when the ring is expanding along the second transversal axis T2. When segment 131 moves in the negative x-direction, Fc points in the positive y-direction. When segment 132 moves in the positive x-direction, Fc points in the negative y-direction. Segment 133 moves in the positive y-direction and Fc points in the positive x-direction, while segment 124 moves in the negative y-direction and Fc points in the negative x-direction in this segment. The direction of the Coriolis forces are again reversed in each segment when the ring again contracts along the second transversal axis T2 (this situation is not illustrated).
It can be seen from
For simplicity, the Coriolis force has been drawn only on these segments of the ring in
In other words, in the primary resonance mode the annular ring 11 deforms periodically to elliptic shapes 12 and 13 along the orthogonal transversal axes T1 and T2. If no angular rotation about the z-axis is present, there are four stationary nodal points 14 located at an angle of exactly 45 degrees from the transversal axes T1 and T2. These points 14 lie on the diagonal axes D1 and D2. The segments of the ring which lie at these nodal points 14 do not experience any linear movement in primary oscillation, only rotation around the node point.
In the secondary resonance mode, the elliptical deformations are turned by 45 degrees from the primary mode axes, as explained above. Mathematically (but not geometrically), the secondary mode is orthogonal to the primary mode, since all possible first order oscillations of the ring can be expressed as linear combinations of these two modes.
When the ring has been excited to the primary oscillation mode and undergoes an in-plane rotation around its center at a given rotation rate, the superposition of the two oscillations is an elliptic oscillation where the nodal points 14 are slightly shifted from the original locations. The angular rotation rate can be detected by measuring this shift.
Ring gyroscopes where the oscillations of the ring are driven by capacitive or electromagnetic means are known from the prior art. The detection of the secondary oscillation is typically performed by capacitive means. Documents U.S. Pat. Nos. 5,932,804 and 5,226,321 exemplify such gyroscopes.
Capacitive transducers have to be manufactured near the side surfaces of the ring by placing an electrode at a distance from the side surface, so that a voltage applied between the ring and the electrode is able to deform the ring (in the primary mode), or that the deformation of the ring (in the secondary mode) can be measured by the capacitance between the ring and the electrode. Electromagnetic excitation of the primary mode requires conductors formed on the top surface of the ring which impart a force to the ring when it is placed in an external magnetic field produced by a permanent magnet.
In these gyroscopes the detection capacitances are very small since it is very difficult to manufacture air gaps smaller than 1 pm, and the high amplitude of the primary oscillation puts limits on how far from the nodal points the secondary mode detection electrodes can be extended. On the other hand, the excitation capacitors needed for the primary mode must have a large gap to allow large amplitude oscillation, and thus the electrostatic force generated by these capacitors remains very small. If electromagnetic excitation is used, there is no space for multi-turn conductors on the ring, and a strong and large permanent magnet therefore has to be used. Such devices are typically not compatible with the standard packaging requirements of silicon devices.
An object of the present disclosure is to provide an apparatus which alleviates the above disadvantages.
The objects of the disclosure are achieved by an arrangement which is characterized by what is stated in the independent claims. The preferred embodiments of the disclosure are disclosed in the dependent claims.
The disclosure is based on the idea of utilizing piezoelectric transducers for exciting the primary resonance mode in the ring gyroscope, for measuring the magnitude of the primary oscillation, for detecting the magnitude of the oscillation induced by the Coriolis force in the secondary resonance mode, and for driving an oscillation in the secondary mode that will by electromechanical feed-back cancel the induced oscillation and/ or dampen the secondary resonance peak, and/ or cancel the directly coupled secondary mode oscillation that is in quadrature phase to the induced oscillation. By placing piezoelectric transducers on suitable ring segments, stronger driving forces for the primary oscillation and lower signal-to-noise ratio for the detected induced oscillation can be obtained while at the same time providing the necessary additional functions of a practical gyroscope.
In the following the disclosure will be described in greater detail by means of preferred embodiments with reference to the accompanying drawings, in which
If drive voltages with opposite polarity are applied to these two transducers, the two transducers produce opposite strains in the xy-plane, which can deform silicon ring 21. If the transducers are used as sense transducers, in-plane bending will generate a voltage differential between the two transducers.
The drawing conventions of
Black and white colours indicate transducer polarity. The ordering of the black and white rectangles in a split transducer indicate polarity so that the polarity of a transducer with a white rectangle on the outer side of the ring is opposite to the polarity of a transducer with a black rectangle on the black rectangle on the outside of the ring (as seen in the same figure).
The piezoelectric layer 22, which may be an aluminium nitride (AlN) layer, is typically not thicker than a few micrometers. The thickness of the silicon ring 21 may, for example, be between 4-100 μm, preferably between 10-50 μm.
When piezoelectric transducers described in this disclosure are used in the sense mode, the largest output voltage between the electrodes of the transducer may be achieved when the transducer capacitance equals the sum of the capacitance of the external connections and the input capacitance of the amplifier. The capacitance of the transducer is determined by its area and by the thickness of the piezoelectric layer.
Due to the narrowness of a gyroscope ring, certain design tradeoffs have to be made when piezoelectric transducers are fabricated on the top surface of the ring. A practical split electrode transducer requires at least 15 μm, preferably at least 20 μm of width. But if, for example, one would wish to fabricate a ring gyro with 30 kHz resonant frequency and 1 mm diameter, the ring width has to be less than 7 μm, which is too narrow for split transducers.
In order to implement piezoelectric transduction on basic gyroscope ring, the width of the ring must be increased. This increases the resonance frequency. A ring width of 15 μm increases the resonant frequency to 67 kHz. But even this may be too narrow, because the total maximum capacitance of a 15 μm wide split transducer with a 1 μm AlN layer is only 3,7 pF, which will be shared with many functions in addition to sensing the secondary oscillation: e.g. driving the primary oscillation, sensing the magnitude of the primary oscillation and driving a compensating signal in the secondary mode to cancel the secondary oscillation in a closed feed-back loop and/or damping the secondary resonance and/or cancelling the quadrature signal. For perfect match to the surrounding electronics, the total capacitance should preferably be 7-15 pF since it is not easy to use more than 50% of the maximum capacitance for sensing the secondary oscillation.
Increasing ring width to 30 μm makes the capacitance 7.6 pF, but the corresponding resonance frequency is then 140 kHz. At high frequency operation the gyroscope becomes more immune to external vibrations, which are predominantly at lower frequencies, but the quadrature signal due to direct mechanical coupling of the primary mode to the transducers which should measure only the secondary mode will also increase with frequency. The desired signal-to-noise ratio may therefore have to be weighed against the required quadrature compensation at a given resonance frequency. The ring width may, for example, be 15-30 μm, 15-25 μpm or 15-20 μm.
An obvious way to increase the width of the ring and the capacitance without increasing the resonant frequency too much is to increase the diameter of the ring. If the diameter is chosen to be 1.6 mm and the width 18 μm, the resonant frequency will be 31 kHz and the capacitance 7.2 pF, numbers which are close to an ideal target. But this gyroscope will have 2.5 times as large area as a 1 mm diameter gyroscope and thus 2.5 times the manufacturing costs of the 1 mm diameter gyroscope.
The primary and secondary oscillation modes produce mechanical stress on the inner and outer perimeter of the ring. The momentary stress varies as a sinusoidal function of length along the ring perimeter. The length variable is in this case represented by the clockwise angle with respect to the T2-axis pointing in the positive y-direction in
This disclosure describes a ring gyroscope which comprises a substantially circular and flexible ring which defines a ring plane, and which is flexibly suspended from a substrate so that the ring can undergo shape oscillation in the ring plane. The ring comprises first and second transversal symmetry axes in the ring plane which are orthogonal to each other. The ring also comprises first and second diagonal symmetry axes in the ring plane which are orthogonal to each other. The angle between each transversal symmetry axis and the adjacent diagonal symmetry axis is 45°.
The gyroscope further comprises one or more primary piezoelectric split transducers placed on first sectors of the ring, and one or more secondary piezoelectric split transducers placed on one or more second sectors of the ring. Each first sector crosses a transversal symmetry axis of the ring and is symmetric with respect to that symmetry axis. Each second sector crosses a diagonal symmetry axis of the ring and is symmetric with respect to that diagonal symmetry axis of the ring.
In this disclosure, expressions such as “a piezoelectric split transducer placed on sector A of the ring” always mean that a piezoelectric split transducer is placed on top of the ring in sector A of the ring.
This disclosure also describes a method for using a ring gyroscope described above, wherein the method comprises the steps of: applying to at least one primary piezoelectric split transducer a drive voltage signal to generate the primary oscillation mode in the ring gyroscope, and reading from at least one secondary piezoelectric split transducer a sense voltage signal to measure the oscillation amplitude of secondary oscillation in the ring gyroscope. The same method can be employed with any ring gyroscope described in this disclosure.
In other words, since a circle has infinitely many symmetry axes, the direction of the first symmetry axis can be freely selected by the placement of the first primary split transducer 411. Once the first axis T1 has been defined, the other three symmetry axes T2, D1 and D2 have also already been uniquely defined, and the placement of subsequent primary and secondary split transducers on the ring must conform to the following requirements:
In other words, at least one primary piezoelectric split transducer should be present on the ring to excite the primary resonance motion of the ring. This excitation is achieved by applying an alternating voltage to the primary piezoelectric split transducer, with a frequency which is equal or close to the resonance frequency of the ring. The primary piezoelectric split transducers should preferably be placed symmetrically in relation to a transversal symmetry axis of the ring.
Additionally, at least one secondary piezoelectric split transducer should be present on the ring to detect the oscillation coupled by the Coriolis force when the ring rotates about its central axis which is perpendicular to the ring plane. The secondary piezoelectric split transducers should preferably be placed symmetrically in relation to a diagonal symmetry axis of the ring.
Misalignment of any first or second sector (i.e. any primary or secondary transducer) will induce unwanted coupling of primary oscillation into the secondary oscillation mode. This is a because a misaligned primary transducer 411-414 will generate oscillation which puts the adjacent nodal point 44 in motion, even though the nodal points 44 should remain stationary when the ring oscillates only in the primary resonance mode. The oscillation of the nodal point 44 will be picked up by secondary split transducers 431-434 and create an erroneous sense signal. Conversely, a misaligned secondary transducer will be centered at a point which differs from the nodal point 44, which also leads it to pick up the primary resonance oscillation and to produce an erroneous sense signal. If, on the other hand, all primary and secondary split transducers are perfectly aligned, then secondary split transducers 431-434 will only pick up the true secondary resonance mode, which is the oscillation of nodal points 44 induced by the Coriolis force.
A single primary piezoelectric split transducer on a first sector of the ring and a single secondary split transducer on a second sector of the ring is sufficient for operating the ring gyroscope. However, to improve the signal-to-noise ratio and reduce the possibility of errors due to misalignment, the number of both primary and secondary split transducers may be increased according to geometry illustrated as illustrated in
In other words, the gyroscope may comprise a first pair of primary piezoelectric split transducers 411, 412 on two first sectors which cross the first transversal symmetry axis T1 on opposite sides of the ring 42. Optionally, the gyroscope may also comprise a second pair of primary piezoelectric split transducers 413, 414 on two first sectors which cross the second transversal symmetry axis T2 on opposite sides of the ring 42. The first pair of primary piezoelectric split transducers 411, 412 may have a polarity-symmetry with respect to the center of the ring 42 which is opposite to the polarity-symmetry of the second pair of piezoelectric split transducers 413, 414 with respect to the center of the ring 42.
Furthermore, the gyroscope may comprise a first pair of secondary piezoelectric split transducers 431, 432 on two second sectors which cross the first diagonal symmetry axis D1 on opposite sides of the ring 42. Optionally, the gyroscope may also comprise a second pair of secondary piezoelectric split transducers 433, 434 on two second sectors which cross the second diagonal symmetry axis D2 on opposite sides of the ring 42. The first pair of secondary piezoelectric split transducers 431, 432 may have a polarity-symmetry with respect to the center of the ring 42 which is opposite to the polarity-symmetry of the second pair of secondary piezoelectric split transducers 433, 434 with respect to the center of the ring 42.
In the ring gyroscope illustrated in
However, sometimes some of the area on the top surface of the ring may be needed for other purposes than force transduction, for example drive amplitude monitoring, coupling cancellation or electrical contacting.
The force required for driving the primary oscillation depends on the dimensions of the ring, the length of the primary transducers and the amplitude of the drive voltage signal applied to these primary transducers. As before, each first and second sector must still be symmetric with respect to the symmetry axis which it crosses.
Alternatively, the width of each first sector may be more than 45°, and the width of each second sector may be less than 45°. This configuration can be advantageous when the driving force must be maximized, but some of the sense signal strength can be sacrificed. This option is not separately illustrated, but it corresponds directly to
All primary split transducers do not necessarily have to be used for driving the primary oscillation. Some of them may, for example, be used for measuring the amplitude of the primary oscillation. This is needed for maintaining stable oscillation amplitude independent of the changes in the driving frequency or the Q-value of the resonator due to environmental variables or aging.
In other words, a method for using any ring gyroscope described in this disclosure may comprise the step of reading from at least one primary piezoelectric split transducer a third voltage signal to measure the oscillation amplitude of primary oscillation in the ring gyroscope.
Similarly, all secondary split transducers do not necessarily have to be used for measuring the secondary oscillation. Some of them may, for example, be used for active interventions into the secondary oscillation mode. For example, when the ring gyroscope is used in closed-loop servo mode, or when the secondary mode resonance is damped by closed loop feedback, or when an applied electromechanical force is used to cancel a quadrature signal, at least one secondary piezoelectric split transducer may be driven with an alternating voltage so that it actively cancels the coupling of the primary oscillation into the secondary oscillation. The lengths of the secondary transducers which are dedicated to active cancelling may differ from the lengths of the secondary transducers which sense the secondary oscillation.
In other words, a method for using any ring gyroscope described in this disclosure may comprise the step of applying to at least one secondary piezoelectric split transducer a fourth voltage signal to actively cancel the coupling of the primary oscillation into the secondary oscillation.
If the primary and secondary split transducers do not together cover the entire circumference of the ring, the vacant surface area (for example, the unused area on the ring in
Eight tertiary piezoelectric split transducers 751-758 are illustrated in
One or more of the tertiary piezoelectric transducers 751-758 may be used for detecting the amplitude of the primary oscillation. This amplitude may not remain constant during the lifetime of the device due to temperature stress and other aging effects. Drift in the drive amplitude will immediately introduce a proportional error in the sensed amplitude, but this error can be corrected if the primary oscillation is monitored.
In other words, a method for using a ring gyroscope which comprises one or more tertiary piezoelectric split transducers on third sectors of the ring which do not overlap with the first sectors or the second sectors may comprise the step of reading from at least one tertiary piezoelectric split transducer a fifth voltage signal to measure the oscillation amplitude of primary oscillation in the ring gyroscope.
One or more of the tertiary piezoelectric transducers 751-758 may also be used for cancelling coupled oscillation when the gyroscope is used in closed loop servo mode or when the secondary resonance mode is actively damped by closed-loop feedback, or when electromechanical force is used to cancel a quadrature signal, as described above.
In other words, a method for using a ring gyroscope which comprises one or more tertiary piezoelectric split transducers on third sectors of the ring which do not overlap with the first sectors or the second sectors may comprise the step of applying to at least one tertiary piezoelectric split transducer a sixth voltage signal to actively cancel the coupling of the primary oscillation into the secondary oscillation.
As indicated visually in
Number | Date | Country | Kind |
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20185420 | May 2018 | FI | national |
Filing Document | Filing Date | Country | Kind |
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PCT/IB2019/000324 | 5/2/2019 | WO | 00 |