On Nonlinear Generalization of Rayleigh-Love and Bishop Theories of Longitudinal Vibrations of Bars

机译：关于瑞利爱和主教理论的非线性泛化 - 钢筋纵向振动理论

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Nonlinear generalizations of Rayleigh-Love and Bishop theories of longitudinal vibrations of bars are considered and compared with classical nonlinear theories. It is supposed that the nonlinearities are stipulated by the strains and the constitutive strain-stress law is linear. Equations of motion are obtained by the Lagrange equations. Numerical solution of these equations at large exciting force demonstrates a substantial influence of quadratic and cubic terms, which is reflected in spectra of the solutions that are analyzed by a discrete Fourier transform.

机译：考虑并与典型非线性理论进行了瑞利爱和主教纵向振动理论的非线性概括。假设非线性由菌株规定，并且组成型应变应力法是线性的。运动方程由拉格朗日方程获得。在大励磁力下这些等式的数值解证明了二次和立方术语的大量影响，其反映在通过离散傅里叶变换分析的溶液的光谱中。

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《International Symposium on Nonlinear Acoustics》|2008年||共4页
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作者
M. Y. Shatalov;
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原文格式 PDF
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中图分类 O42-532;
关键词
Vibration of bars; Rayleigh-Love theory; Bishop theory; Nonlinear vibrations;

机译：酒吧的振动;瑞利 - 爱情理论;主教理论;非线性振动;

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4. On Nonlinear Generalization of Rayleigh-Love and Bishop Theories of Longitudinal Vibrations of Bars [C] . M. Y. Shatalov International Symposium on Nonlinear Acoustics . 2008

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On Nonlinear Generalization of Rayleigh-Love and Bishop Theories of Longitudinal Vibrations of Bars

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