Amplitude modulated motions in a two degree-of-freedom system with quadratic nonlinearities under parametric excitation: experimental investigation

Ji Jinchen; Chen Yushu; Yu Lie

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Amplitude modulated motions in a two degree-of-freedom system with quadratic nonlinearities under parametric excitation: experimental investigation

机译：参数激励下具有二次非线性的两自由度系统中的调幅运动：实验研究

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摘要

An experimental investigation of amplitude modulated response of a two degree-of-freedom mechanical structure with quadratic nonlinearities to parametric excitation was carried out. Periodically amplitude-modulated motions and chaotically amplitude-modulated motions were observed.

机译：进行了具有二次非线性对参数激励的两自由度机械结构的调幅响应的实验研究。观察到周期性的调幅运动和混沌的调幅运动。

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《Mechanics research communications》 |1999年第4期|共7页
作者
Ji Jinchen; Chen Yushu; Yu Lie;
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正文语种 eng
中图分类力学;
关键词
Degrees of freedom (mechanics); Machinery; Nonlinear systems; Natural frequencies; Harmonic analysis; Numerical methods; Resonance; Bifurcation (mathematics); Chaos theory; Amplitude modulated motions; Quadratic nonlinearities; First order autonomous amplitude equations; Melnikovs method; Hofp bifurcation;

机译：自由度（力学）;机械;非线性系统;固有频率;谐波分析;数值方法;共振;分叉（数学）;混沌理论;调幅运动;二次非线性;一阶自主振幅方程;Melnikovs方法;Hofp分叉;

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1. Amplitude modulated motions in a two degree-of-freedom system with quadratic nonlinearities under parametric excitation: experimental investigation [J] . Ji Jinchen, Chen Yushu, Yu Lie Mechanics research communications . 1999,第4期

机译：参数激励下具有二次非线性的两自由度系统中的调幅运动：实验研究
2. Duffing Oscillator With Parametric Excitation: Analytical and Experimental Investigation on a Belt-Pulley System [J] . Guilhem Michon, Lionel Manin, Robert G. Parker, Journal of Computational and Nonlinear Dynamics . 2008,第3期

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3. Parametric Excitation of Circular Cylindrical Shell-Lumped Mass System Subjected to Horizontal Seismic Wave (1st Report, Experimental Investigation) [J] . Masaaki TAKAYANAGI JSME International Journal. Series C, Mechanical Systems, Machine Elements and Manufacturing . 1995,第3期

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4. Chaotic Amplitude Dynamics for Parametrically Excited Systems with Quadratic Nonlinearities [C] . Bappaditya Banerjee, Anil K. Bajaj Biennial Conference on Mechanical Vibration and Noise . 1995

机译：具有二次非线性的参数振荡系统的混沌幅度动态
5. A SYNTHESIS METHOD FOR ADAPTIVE CONTROL OF NONLINEAR SYSTEMS WITH APPLICATION TO A ONE DEGREE-OF-FREEDOM MOTION SIMULATOR. [D] . BURSHTEIN, AMOS. 1984

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6. Experimental and Numerical Study of Nonlinear Lamb Waves of a Low-Frequency S0 Mode in Plates with Quadratic Nonlinearity [O] . Xiangyan Ding, Youxuan Zhao, Ning Hu, 2018

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7. Chaotic Motion of a Parametrically and Self-Excited Nonlinear Mechanical System Subjected to Harmonic Excitation. [O] . Keijin SATO, Sumio YAMAMOTO, Ayumi KATSUNUMA, 1992

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8. Response of Multidegree-of-Freedom Systems with Quadratic and Cubic Nonlinearities to Harmonic Excitation, with Application to a Shallow Arch. 2. Multifrequency Excitation [R] . Plaut, R. H. , Mook, D. T. , HaQuang, N. 1984

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Amplitude modulated motions in a two degree-of-freedom system with quadratic nonlinearities under parametric excitation: experimental investigation

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