Vibrating Arm Particle Tuning for Stable Resonant Frequency
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Solution Overview
Problem
Existing resonance devices experience fluctuations in resonant frequency due to particles scraped off from the vibrating arm during the frequency adjustment process, which attach to and detach from the arm, causing changes in the resonant frequency.
Innovation Solution
A resonance device design where particles with a specific gravity A and median size D50 ≤ 189/(X×√A) are attached to the vibrating arm's tip, ensuring the van der Waals force balances the inertial force, thereby stabilizing the resonant frequency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If particles are attached to the vibrating arm during frequency adjustment, then the resonant frequency can be adjusted, but the particles may detach and cause resonant frequency fluctuations
Solution Approach 1:
The patent applies parameter changes by carefully controlling the particle size (D50 ≤ 189/(X×√A)) and specific gravity (A) to optimize the balance between van der Waals force and inertial force. This ensures particles remain attached during vibration while allowing frequency adjustment, resolving the contradiction between manufacturing precision and reliability
Solution Approach 2:
The patent converts the potentially harmful effect of particle detachment into a beneficial outcome by selecting particles whose inertial force naturally balances with van der Waals force. This transforms what could be a source of frequency instability into a mechanism that ensures stable particle attachment while maintaining adjustability
2Reliability
If particles with larger size are used, then the van der Waals force is stronger and particles attach more firmly, but the resonant frequency adjustment range is limited
Solution Approach 1:
The patent uses parameter changes by establishing a specific relationship between particle size (D50), specific gravity (A), and resonant frequency (X) through the formula D50 ≤ 189/(X×√A). This allows optimization of both attachment stability and frequency adjustment range by selecting particles that satisfy this relationship
Solution Approach 2:
The patent effectively creates a scaled-down version of particle attachment behavior by using the inertial force-van der Waals force balance principle, which replicates stable attachment conditions across different frequency ranges, enabling both firm attachment and broad adjustment range
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 design effectively suppresses frequency fluctuations by maintaining a balance between van der Waals and inertial forces, reducing changes in the resonant frequency during both normal operation and frequency adjustment processes.
Implementation Method 1
when a median size of the particle is defined as D50, a specific gravity of the particle is defined as A, and a resonant frequency of the resonator is defined as X, D50≤189/(X×√A)
Implementation Method 2
a specific gravity of the particle is defined as A, and a resonant frequency of the resonator is defined as X, D50≤189/(X×√A)
Data Source
AI summary
A resonance device that includes a lower cover, an upper cover joined to the lower cover, a resonator having vibrating arms that bend and vibrate in a vibration space between the lower cover and the upper cover, and particles attached to tip portions of the vibrating arms. When a median size of the particle is defined as D50, a specific gravity of the particle is defined as A, and a resonant frequency of the resonator is defined as X, D50≤189/(X×√A).