On the acoustic nonlinearity of solid-solid contact with pressure-dependent interface stiffness
On the acoustic nonlinearity of solid-solid contact with pressure-dependent interface stiffness
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DOI：
10.1115/1.1767169
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发表时间：
2004-07-01
影响因子：
2.6
通讯作者：
Ohno, N
中科院分区：
文献类型：
--
作者：
Biwa, S;Nakajima, S;Ohno, N
在一维理论框架下研究了弹性波与接触界面之间的非线性相互作用，即所谓的接触声学非线性。本分析是基于一个非线性的接口刚度模型，其中的刚度属性的接触界面被描述为一个函数的名义接触压力。的透射/反射系数为一个正常入射的谐波，和二次谐波的振幅，以及在接触界面处产生的直流分量的接口刚度特性和其他相关的声学参数的条款推导。的线性界面刚度和接触压力之间的幂律关系的影响进行了详细研究，关于接触界面的线性和非线性声学响应。此外，一个合理的范围内的相关幂律指数的粗糙表面接触力学的基础上的考虑提供。分析澄清了定性的接触压力依赖的各种非线性参数的基础上不同的定义。从已有的铝-铝接触试验数据中，确定了一个特殊的幂律，并证明了该幂律具有明显的非线性特征。在接触界面处的二次谐波产生的理论接触压力的依赖性被发现与以前的测量定性一致。
Nonlinear interaction between elastic wave and contact interface, known to result in the so-called contact acoustic nonlinearity, is examined in a one-dimensional theoretical framework. The present analysis is based on a nonlinear interface stiffness model where the stiffness property of the contact interface is described as a function of the nominal contact pressure. The transmission/reflection coefficients for a normally incident harmonic wave, and the amplitudes of second harmonics as well as DC components arising at the contact interface are derived in terms of the interface stiffness properties and other relevant acoustic parameters. Implications of power-law relations between the linear interface stiffness and the contact pressure are examined in detail regarding the linear and nonlinear acoustic responses of the contact interface. Also, a plausible range of the relevant power-law exponent is provided from considerations based on the rough-surface contact mechanics. The analysis clarifies the qualitative contact-pressure dependence of various nonlinearity parameters based on different definitions. A particular power law is identified from existing experimental data for aluminum-aluminum contact, for which some explicit nonlinear characteristics are demonstrated. The theoretical contact-pressure dependence of the second harmonic generation at the contact interface is found to be in qualitative agreement with previous measurements.