Three-Arm Resonator Layout for High-Q Stable Oscillation
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Solution Overview
Problem
Existing resonator elements with wide sections at the tip end portions of vibrating arms do not provide clear conditions for suppressing the deterioration of the Q value, leading to potential instability and nonlinearity in oscillation.
Innovation Solution
A resonator element design with specific width and length ratios for vibrating arms and wide sections, along with mass-enhancing weights and temperature characteristic adjusters, to maintain high Q values and stability by minimizing nonlinearity and vibration leakage.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Stability of the object's composition
If wide sections are formed at the tip end portions of the vibrating arms, then the mass distribution is improved and oscillation stability is enhanced, but the Q value deteriorates due to increased vibration leakage
Solution Approach 1:
The patent applies parameter changes by establishing specific quantitative relationships: the width ratio W1/W2 between the center arm and side arms is controlled within 1.05-2.00, and the length ratio Lh/L of the wide section to the entire arm is controlled within 0.30-0.49. These parameter optimizations balance the mass distribution improvement against Q value deterioration, resolving the technical contradiction by finding the optimal parameter range that achieves both goals simultaneously.
2Stability of the object's composition
If the width ratio W1/W2 is increased to enhance mass distribution, then oscillation stability improves, but manufacturing precision requirements increase
Solution Approach 1:
The patent defines a specific parameter range for W1/W2 (1.05-2.00) that balances mass distribution while considering manufacturing capabilities. This parameter optimization resolves the contradiction by establishing a practical range that achieves good mass distribution without imposing excessive manufacturing precision requirements.
3Stability of the object's composition
If the length ratio Lh/L of wide sections is increased to enhance mass effect, then oscillation stability improves, but the resonator size increases
Solution Approach 1:
The patent optimizes the Lh/L parameter within the range of 0.30-0.49 to achieve the desired mass distribution and oscillation stability while controlling the overall resonator size. This parameter optimization resolves the contradiction by finding the optimal balance between stability enhancement and size control.
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 design ensures high oscillation stability and Q values by balancing mass distribution and frequency-temperature characteristics, reducing the resonator's size while maintaining efficient flexural vibrations.
Implementation Method 1
piezoelectric elements on upper surfaces thereof. When the piezoelectric elements to which the drive voltage is applied expand and contract, the vibrating arms vibrate in the Z-axis direction
Data Source
AI summary
A resonator element includes three vibrating arms. Each of the three vibrating arms includes an arm extending from a base and a wide section positioned at a tip end portion of the arm. The wide section is wider than the arm. When, of the three vibrating arms, the vibrating arm positioned at a center of an arrangement is provided with the arm having a width denoted by W1 which is defined as a length of the arm in the second direction, and the vibration arms positioned on both sides of the arrangement are provided with the arms each having a width denoted by W2 which is defined as a length of the arms in the second direction, a relationship 1≤W1/W2≤2 is satisfied. When a length of the three vibrating arms in the first direction is denoted by L and a length of the wide sections in the first direction is denoted by Lh, a relationship Lh/L≤0.49 is satisfied.