Theoretical and experimental investigation of nonlinear dynamics for an L-shape beam structure - 文章详情页

作者：

Cao, Dong-Xing (Cao, Dong-Xing.) (学者：曹东兴) | Zhang, Wei (Zhang, Wei.) | Yao, Ming-Hui (Yao, Ming-Hui.) (学者：姚明辉) | Fan, Jin-Hong (Fan, Jin-Hong.)

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摘要：

The　nonlinear　vibrations　and　chaotic　dynamics　of　an　L-shape　beam　structure　are　studied　using　theoretical　and　experimental　method.　First,　the　governing　equation　is　established　and　the　perturbation　analysis　is　done　using　the　method　of　multiple　scales　to　obtain　a　class　of　four-dimensional　averaged　equation.　Based　on　the　averaged　equations,　numerical　simulations　are　presented　to　analyze　the　nonlinear　responses　and　chaotic　dynamics　of　the　L-shape　beam　structure.　Finally,　the　nonlinear　vibrations　of　the　L-shape　beam　structure　are　studied　by　experimental　method　and　periodic　motions　and　chaotic　motions　are　found　from　the　experimental　solutions.

关键词：

Bifurcation (mathematics) Chaos theory Chaotic systems Nonlinear equations Prestressed beams and girders Vibrations (mechanical)

作者机构：

[ 1 ] [Cao, Dong-Xing]College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
[ 2 ] [Zhang, Wei]College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
[ 3 ] [Yao, Ming-Hui]College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
[ 4 ] [Fan, Jin-Hong]College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China

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