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Vibration of Mechanically-Assembled 3D Microstructures Formed by Compressive Buckling
Heling Wang1, Xin Ning2, Haibo Li1
1Departments of Civil and Environmental Engineering, Mechanical Engineering, and Materials Science and Engineering, Northwestern University, Evanston, Illinois 60208, USA.
Journal of the Mechanics and Physics of Solids
|May 2, 2018
Summary
This study explores three-dimensional (3D) vibrational microplatforms, revealing how strain influences their behavior. Findings show that increased static deflection reduces vibration nonlinearity, enabling new applications in material property measurement.
Area of Science:
- Mechanical Engineering
- Materials Science
- Nanotechnology
Background:
- Micro-electromechanical systems (MEMS) often use 2D vibrations, limiting applications.
- 3D vibrational microplatforms offer advantages like multi-directional energy harvesting.
- Controlled compressive buckling enables complex 3D architectures with tunable vibrational properties.
Purpose of the Study:
- To investigate the linear and nonlinear vibration behavior of 3D microplatforms.
- To develop an analytical model for predicting strain-dependent vibration characteristics.
- To validate the model through finite element analysis (FEA) and experiments.
Main Methods:
- Analytical modeling of buckled ribbons.
- Finite Element Analysis (FEA) for complex geometries and nonlinear regimes.
- Experimental validation of analytical and FEA results.
Main Results:
- An analytical solution for vibration modes and natural frequencies was derived, showing mode changes with static deflection.
- A scaling law for natural frequencies applicable to complex 3D geometries was established.
- FEA indicated that increased external loading enhances bandwidth, while increased static deflection reduces vibration nonlinearity.
Conclusions:
- The developed analytical model accurately predicts the vibration behavior of 3D microplatforms.
- Strain-dependent vibration characteristics are crucial for practical applications.
- These 3D platforms can be utilized for simultaneous measurement of diverse material properties.
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