Tuning Fork Vibrating Element Mass Balance for Higher Q Value
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Solution Overview
Problem
Existing vibrating elements struggle to achieve a high Q value due to difficulties in configuring the distance between the centers of gravity of weight sections and vibrating arms, leading to vibration leaks and inefficiencies.
Innovation Solution
A vibrating element design featuring first and second vibrating arms with weights, where the mass ratio M2/M1 and area ratio S2/S1 are optimized between 0.952 and 1.000, with chamfered corners and a metal member on the weights, to enhance the Q value and reduce vibration leaks.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If the distance between centers of gravity of weight sections is set shorter than the distance between centers of gravity of vibrating arms, then the Q value is improved and vibration leak is reduced, but the manufacturing precision becomes difficult to control
Solution Approach 1:
The patent applies parameter changes by optimizing the mass ratio M2/M1 and area ratio S2/S1 of the weight sections to fall within 0.952-1.000. This quantitative parameter optimization resolves the contradiction by providing a specific design range that achieves high Q value while being manufacturable, transforming the vague requirement of 'shorter distance' into a precise controllable parameter range.
Solution Approach 2:
The patent introduces asymmetry by making the weight sections have slightly different masses (M1 and M2) with a controlled mass ratio of 0.952-1.000, rather than being perfectly symmetric. This asymmetric design with controlled imbalance optimizes the center of gravity position to reduce vibration leak while maintaining manufacturability, resolving the contradiction between Q value improvement and manufacturing precision.
2Reliability
If specific numerical values are not disclosed for distances between centers of gravity, then the design flexibility is maintained, but the Q value cannot be reliably achieved
Solution Approach 1:
The patent resolves this contradiction by changing from no numerical specification to a specific parameter range (0.952-1.000 for mass ratio and area ratio). This provides reliable Q value achievement while keeping the design relatively simple by focusing on ratios rather than absolute dimensions, making the design both reliable and manageable.
Solution Approach 2:
The patent applies partial action by specifying only the critical mass ratio and area ratio parameters within 0.952-1.000, rather than controlling all dimensional parameters. This partial specification is sufficient to achieve high Q value while avoiding excessive design complexity, resolving the contradiction between reliability and device complexity.
3Reliability
If the width of weight sections is increased along the second axis, then the mass ratio can be optimized for high Q value, but the area increases leading to larger device size
Solution Approach 1:
The patent resolves this contradiction by optimizing the area ratio S2/S1 within 0.952-1.000, which controls the mass distribution without requiring excessive area increase. This parameter optimization achieves high Q value while minimizing the device area, as the ratio-based approach is more efficient than absolute area scaling.
Data Source
AI summary
A vibrating element includes a base and a first vibrating arm and a second vibrating arm extending from the base. The first vibrating arm includes a first arm and a first weight. The second vibrating arm includes a second arm and a second weight. In the vibrating element, 0.952<M2/M1<1.000, wherein M1 is mass on the second vibrating arm side of the first weight with respect to a first center line of the first arm and mass on the first vibrating arm side of the second weight with respect to a second center line of the second arm and M2 is mass on a side opposite to the second vibrating arm of the first weight with respect to the first center line and mass on a side opposite to the first vibrating arm of the second weight with respect to the second center line.