Abstract

In this article, the chaos areas in the response of a Kelvin-Voigt viscoelastic plate under a combination of harmonically parametric and external random excitations were obtained, throughout a fully analytic approach. It was observed that how the structural damping, the linear and nonlinear elasticity, the amplitude, and frequency of parametric force and the intensity of the white noise excitation affected the chaos region. It was shown that at frequencies close to the natural frequency of the corresponding linear system, the dominant behavior was more affected by parametric harmonic force while at other frequencies it was affected by random excitation.

中文翻译：

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Kelvin-Voigt粘弹性板在组合谐波参数和随机外部激励下响应中的混沌区域的分析研究

摘要

在本文中，通过完全解析的方法，获得了 Kelvin-Voigt 粘弹性板在谐波参数和外部随机激励的组合下响应中的混沌区域。观察到结构阻尼、线性和非线性弹性、参数力的幅度和频率以及白噪声激励的强度如何影响混沌区域。结果表明，在接近相应线性系统的固有频率的频率下，主导行为受参量谐波力的影响更大，而在其他频率下，则受随机激励的影响。