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首页> 外文会议>ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2007 >LOCALIZATION INDUCED BASE ISOLATION IN FRACTIONALLY DAMPED NONLINEAR SYSTEM
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LOCALIZATION INDUCED BASE ISOLATION IN FRACTIONALLY DAMPED NONLINEAR SYSTEM

机译：分数阶阻尼非线性系统中的局部诱导基隔离

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摘要

In the present article we take up the study of nonlinear localization induced base isolation of a 3 degree of freedom system having cubic nonlinearities under sinusoidal base excitation. The damping forces in the system are described by functions of fractional derivative of the instantaneous displacements,typically linear and quadratic damping are considered here separately.Under the assumption of smallness of certain system parameters and nonlinear terms an approximate estimate of the response at each degree of freedom of the system is obtained by the Method of Multiple Scales approach. We then consider a similar system where the nonlinear terms and certain other parameters are no longer small. Direct numerical simulation is made use of to obtain the amplitude plot in the frequency domain for this case,which helps us to establish the efficacy of this method of base isolation for a broad class of systems.Base isolation obtained this way has no counterpart in the linear theory.
机译：在本文中，我们研究了正弦基极激励下具有立方非线性的三自由度系统的非线性局域诱导基极隔离。用瞬时位移的分数导数描述系统中的阻尼力，这里分别考虑线性和二次阻尼。在某些系统参数和非线性项较小的假设下，对每个方向的响应进行了近似估计。系统的自由度是通过“多尺度方法”方法获得的。然后，我们考虑一个类似的系统，其中非线性项和某些其他参数不再很小。在这种情况下，利用直接数值模拟来获得频域中的振幅图，这有助于我们建立这种基本隔离方法对多种系统的有效性。线性理论。

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