Resonator Element Base Geometry for High Q in Compact Oscillators
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Solution Overview
Problem
Resonator elements in small electronic devices face challenges in achieving high Q-values and reduced size due to increased thermoelastic loss when the base portion dimensions are minimized, leading to unstable oscillation and larger device sizes.
Innovation Solution
The resonator element design includes a base portion with specific dimensions and a supporting arm configuration that optimizes the ratio of the shortest distance between end surfaces (Wb/We) within the range of 0.81 to 1.70, reducing thermoelastic loss and allowing for a high Q-value while minimizing size, and incorporates a vacuum environment to reduce viscosity resistance.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Volume of moving object
If the base portion dimensions are reduced to minimize size, then the overall size of the resonator element is reduced, but the Q-value is significantly reduced due to increased thermoelastic loss
Solution Approach 1:
The invention changes the geometric parameters of the base portion, specifically optimizing the ratio Wb/We (where Wb is the shortest distance between end surfaces and We is the effective width) to be within 0.81 to 1.70. This parameter optimization allows the base portion to maintain high rigidity and reduce thermoelastic loss even when dimensions are reduced, thereby preserving the Q-value while achieving miniaturization.
Solution Approach 2:
The invention introduces a supporting arm that protrudes from the base portion in the thickness direction (z-axis), utilizing the third dimension to provide additional mechanical support. This dimensional approach enhances the rigidity of the base portion without increasing its planar footprint, thus reducing thermoelastic loss while maintaining compact size.
2Volume of moving object
If the base portion dimensions are reduced, then the size is minimized, but thermoelastic loss increases causing unstable oscillation
Solution Approach 1:
The invention optimizes the geometric parameters of the base portion, specifically the ratio Wb/We (where Wb is the shortest distance between end surfaces and We is the effective width) to be within 0.81 to 1.70. This parameter optimization allows the base portion to maintain high rigidity and reduce thermoelastic loss even when dimensions are reduced, thereby preserving the Q-value while achieving miniaturization.
Solution Approach 2:
The invention introduces a supporting arm that protrudes from the base portion in the thickness direction (z-axis), utilizing the third dimension to provide additional mechanical support. This dimensional approach enhances the rigidity of the base portion without increasing its planar footprint, thus reducing thermoelastic loss while maintaining compact size.
3Volume of moving object
If the base portion dimensions are reduced, then the size is minimized, but the oscillation stability deteriorates
Solution Approach 1:
The invention optimizes the geometric parameters of the base portion, specifically the ratio Wb/We (where Wb is the shortest distance between end surfaces and We is the effective width) to be within 0.81 to 1.70. This parameter optimization allows the base portion to maintain high rigidity and reduce thermoelastic loss even when dimensions are reduced, thereby preserving the Q-value while achieving miniaturization.
Solution Approach 2:
The invention introduces a supporting arm that protrudes from the base portion in the thickness direction (z-axis), utilizing the third dimension to provide additional mechanical support. This dimensional approach enhances the rigidity of the base portion without increasing its planar footprint, thus reducing thermoelastic loss while maintaining compact size.
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 configuration enables a resonator element with a high Q-value for stable oscillation and smaller size, achieving a Q-value range of 6,672 to 8,971 and overall length reduction of 9.2% to 16.5% compared to prior art, while maintaining stable vibration characteristics.
Implementation Method 1
reduce thermoelastic loss caused by a reduction in the distance between the first end surface and the second end surface of the base portion
Implementation Method 2
incorporates a vacuum environment to reduce viscosity resistance
Data Source
AI summary
A resonator element includes: a base portion including a first end surface that faces a first direction and a second end surface that faces a direction opposite to the first direction, a first vibrating arm that is provided integrally with the base portion and is connected to the first end surface; and a second vibrating arm that is provided integrally with the base portion along the first vibrating arm and is connected to the first end surface. When the shortest distance between the first end surface and the second end surface is Wb and an effective width between the shortest distance Wb and the base portion is We, 0.81≦Wb/We≦1.70 is satisfied.