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Experimental study of isolas in nonlinear systems featuring modal interactions

机译:具有模态相互作用的非线性系统中的孤立子的实验研究

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摘要

The objective of the present paper is to provide experimental evidence of isolated resonances in the frequency response of nonlinear mechanical systems. More specifically, this work explores the presence of isolas, which are periodic solutions detached from the main frequency response, in the case of a nonlinear set-up consisting of two masses sliding on a horizontal guide. A careful experimental investigation of isolas is carried out using responses to swept-sine and stepped-sine excitations. The experimental findings are validated with advanced numerical simulations combining nonlinear modal analysis and bifurcation monitoring. In particular, the interactions between two nonlinear normal modes are shown to be responsible for the creation of the isolas.
机译:本文的目的是提供非线性机械系统频率响应中孤立共振的实验证据。更具体地说,在非线性设置由两个在水平导轨上滑动的质量组成的情况下,这项工作探讨了孤立子的存在,孤立子是与主频率响应分离的周期性解。使用对扫频正弦和步进正弦激励的响应,对isolas进行了仔细的实验​​研究。实验结果通过结合非线性模态分析和分叉监测的高级数值模拟得到验证。尤其是,两个非线性法线模式之间的相互作用被证明是造成孤立的原因。

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