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首页> 外文期刊>American journal of engineering and applied sciences >Anisotropy Influence of Cubic Solid on Dynamic Hertzian Contact Stiffness for a Vibrating Rigid Indenter | Science Publications
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Anisotropy Influence of Cubic Solid on Dynamic Hertzian Contact Stiffness for a Vibrating Rigid Indenter | Science Publications

机译：立方刚体对振动刚性压头的动态赫兹接触刚度的各向异性影响科学出版物

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> Problem statement: Resonance-type microscopies have been widely used to evaluate the nanoscaled or microscaled surface elastic properties of materials by the resonance-frequency shifts of an oscillator, which contacts the surface of materials by a spherical tip. Approach: The tip-specimen contact is modeled to be a spring support, whose stiffness is given by the traditional Hertzian contact theory. However, because of the influence of the oscillator vibration and the anisotropy in nanoscaled or microscaled region of materials, the predicted results from the traditional Hertzian contact theory can not coincide with the experimental observations. In order to explain this discrepancy, dynamic contact stiffness at the contact interface between a rigid sphere and a semi-infinite cubic solid is investigated. Results: An oscillating force being superposed on a biasing force excites the oscillation of the sphere contacting with the solid surface, which causes the contact radius to vary with the oscillation. The assumption of sufficiently small oscillating force compared with the biasing force yields an oscillating-contact-pressure distribution of the constant contact radius and then dynamic contact stiffness. Because the oscillating-contact-pressure distribution cannot promise the uniform contact deformation, the influence of contact-displacement conditions is discussed. Conclusion: It is shown that dynamic contact stiffness depends on the oscillating frequency and contact radius of the sphere and the solid anisotropy.
机译： > 问题陈述：共振型显微技术已被广泛用于通过与表面接触的振荡器的共振频率偏移来评估材料的纳米级或微米级表面弹性性能球形尖端的材料。 方法：尖端-试样接触建模为弹簧支撑，其刚度由传统的赫兹接触理论给出。然而，由于材料的纳米级或微米级区域中的振荡器振动和各向异性的影响，传统赫兹接触理论的预测结果与实验结果不一致。为了解释这种差异，研究了刚性球体与半无限立方实体之间的接触界面处的动态接触刚度。 结果：叠加在偏压力上的振荡力会激发与固体表面接触的球体的振荡，从而导致接触半径随振荡而变化。与偏压力相比，假设振荡力足够小，将产生恒定接触半径的振荡接触压力分布，然后产生动态接触刚度。由于振荡接触压力分布不能保证均匀的接触变形，因此讨论了接触位移条件的影响。 结论：研究表明，动态接触刚度取决于球体的振荡频率和接触半径以及固体各向异性。

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