Vibrator Device Frequency Spacing for Output Stability
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
In vibrator devices, leakage of Z-axis vibration mode can interfere with the angular velocity detector element, leading to instability in the stationary-state output due to resonance between the drive frequency of the vibrator element and the Z-axis vibration mode of the support substrate.
Innovation Solution
The vibrator device is designed such that the frequency of the drive vibration (fd) and the Z-axis vibration mode (fz) are sufficiently spaced apart, with specific frequency ratios (0.05 < (fd - fz) / fd < 0.9 or 0.05 < (fz - fd) / fd < 1, to minimize interference and enhance measurement reproducibility of the stationary-state output.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If the drive frequency of the vibrator element is set close to the Z-axis vibration mode frequency of the support substrate, then the structural resonance is enhanced, but the leakage vibration interferes with the vibrator element and deteriorates the stability of the stationary-state output
Solution Approach 1:
The patent applies parameter changes by establishing specific frequency ratio relationships between the drive frequency (fd) and Z-axis vibration mode frequency (fz). The conditions 0.05 < (fd - fz) / fd < 0.9 when fd > fz, or 0.05 < (fz - fd) / fd < 1 when fz > fd, create an optimal frequency separation that prevents resonance-induced leakage vibration while maintaining reliable stationary-state output stability.
2Measurement precision
If the frequency of drive vibration and Z-axis vibration mode are close to each other, then the structural coupling is strengthened, but the measurement reproducibility deteriorates due to vibration interference
Solution Approach 1:
The patent resolves this contradiction by controlling the frequency parameters through specific ratio conditions. By ensuring that the frequency difference between drive vibration (fd) and Z-axis vibration mode (fz) falls within the ranges 0.05 < (fd - fz) / fd < 0.9 or 0.05 < (fz - fd) / fd < 1, the design prevents harmful vibration coupling while maintaining measurement reproducibility.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This spacing of frequencies improves the reproducibility and stability of the stationary-state output by reducing the impact of leakage vibrations, ensuring consistent angular velocity detection.
Implementation Method 1
a vibrator element that performs drive vibration in a direction along an X-Y plane defined by the X-axis and the Y-axis
Implementation Method 2
when a frequency of a Z-axis vibration mode that is a mode of vibration in the thickness direction of the support substrate, that is, in the Z-axis direction, approaches a drive frequency of the vibrator element, the Z-axis vibration mode is excited in the support substrate by the drive vibration of the vibrator element
Data Source
AI summary
A vibrator device includes, when three axes orthogonal to each other are defined as an X-axis, a Y-axis, and a Z-axis, a vibrator element that performs drive vibration in a direction along an X-Y plane defined by the X-axis and the Y-axis, and a support substrate that supports the vibrator element. When fd>fz, 0.05<(fd−fz)/fd<0.9, and when fd<fz, 0.05<(fz−fd)/fd<1, where fd is a frequency of the drive vibration of the vibrator element, and fz is a frequency of a Z-axis vibration mode that is a vibration mode along the Z-axis of the support substrate.