Dynamic-contact stiffness at the interface between a vibrating rigid sphere and a semi-infinite viscoelastic solid
Jiayong Tian1, Hirotsugu Ogi, Masahiko Hirao
1Graduate School of Engineering Science, Osaka University, Machikaneyama 1-3, Toyonaka, Osaka 560-8531, Japan. j_tian@me.es.osaka-u.ac.jp
IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|December 17, 2004
Summary
This study analyzes the vibration of a rigid sphere on a viscoelastic material. We determined dynamic contact stiffness, crucial for understanding material damping characteristics under oscillating forces.
Area of Science:
- Solid Mechanics
- Materials Science
- Vibrational Analysis
Background:
- Understanding the behavior of viscoelastic materials under dynamic loading is essential in various engineering applications.
- The interaction between rigid bodies and viscoelastic solids involves complex contact mechanics.
- Previous studies often simplified the dynamic aspects of such contacts.
Purpose of the Study:
- To theoretically investigate the vibration of a rigid sphere in contact with a semi-infinite viscoelastic solid.
- To derive the dynamic contact pressure and establish dynamic contact stiffness.
- To analyze the influence of various parameters on the vibrational response.
Main Methods:
- Theoretical analysis of a rigid sphere subjected to static and oscillating forces on a viscoelastic half-space.
- Derivation of dynamic contact pressure distribution assuming a constant contact radius for small oscillating forces.
- Numerical calculations to explore parameter influences.
Main Results:
- A theoretical framework was established for dynamic contact stiffness between a sphere and a viscoelastic solid.
- The study derived the dynamic contact pressure distribution under specific assumptions.
- Numerical results demonstrated the impact of vibration frequency, contact radius, Poisson's ratio, and damping characteristics.
Conclusions:
- The dynamic contact stiffness is established by the derived dynamic contact pressure distribution.
- Vibration frequency and material damping significantly influence the contact dynamics.
- The findings provide insights into the mechanical response of viscoelastic materials under dynamic contact loading.
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