Three-Arm Resonator Weight Layout for Stable High-Drive Oscillation
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Solution Overview
Problem
Existing resonator elements exhibit nonlinearity in spring behavior due to increased spring rigidity at high drive voltages, leading to variations in vibration frequency and reduced oscillation stability, which is not adequately addressed in prior art.
Innovation Solution
A resonator element design featuring three vibrating arms with center and end weights, where the weight mass ratio and arm width ratio are optimized to fall within specific regions, and the point (A, B) within a polygon formed by connecting points (A, B) to minimize the effects of the drive voltage and the arm width ratio are optimized to reduce the nonlinearity and maintain high Q value.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Speed
If the drive voltage is increased to increase the amplitude of vibration, then the amplitude of the vibrating arms increases, but the spring rigidity of the vibrating arms apparently increases and the linear relationship between force and deformation is broken, causing nonlinearity
Solution Approach 1:
The patent applies different masses to different vibrating arms (center arm has mass M1, end arms have mass M2) to create local quality differences. This asymmetric mass distribution compensates for the nonlinear spring behavior at high amplitudes, allowing the system to maintain stable oscillation even when driven at higher voltages for increased amplitude.
Solution Approach 2:
The patent changes the mass parameter of the vibrating arms by attaching different weights (M1 and M2) to the center and end arms respectively. This parameter modification allows the system to operate in a regime where the nonlinear spring effects are compensated, enabling stable oscillation at higher drive voltages without frequency variation.
2Reliability
If the mass difference between center and end weights is increased to adjust vibration characteristics, then the oscillation stability improves, but the frequency difference between modes increases
Solution Approach 1:
The patent deliberately introduces asymmetry by placing different masses (M1 at center, M2 at ends) on the vibrating arms. This asymmetric mass distribution is optimized to compensate for nonlinear spring effects and improve oscillation stability. The specific mass ratio is chosen to balance stability improvement against frequency difference increase.
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
The optimized resonator element maintains high oscillation stability and frequency characteristics by minimizing the nonlinearity and maintaining the Q value.
Implementation Method 1
each include a piezoelectric element on the upper surface. When the piezoelectric elements, to which a drive voltage is applied, expand and contract, each vibrating arm vibrates
Data Source
AI summary
A resonator element includes first to third vibrating arms and weights disposed at respective tip end portions of the first to third vibrating arms. When a weight mass ratio A represented by M1/M2 is plotted on a horizontal axis and an arm width ratio B represented by W1/W2 is plotted on a vertical axis, where M1 is a mass of the weight disposed on the first vibrating arm, M2 is a mass of the weight disposed on each of the second and third vibrating arms, W1 is a width of the first vibrating arm, and W2 is a width of each of the second and third vibrating arms, a point (A, B) is located in a region surrounded by a polygon formed by connecting six points of (A, B)=(2.39, 2), (0.01, 2), (0.23, 1.6), (1.65, 1), (7.15, 1), and (4.02, 1.6) with straight lines.