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Author:

Zhang, Wei (Zhang, Wei.) | Cao, Dong-Xing (Cao, Dong-Xing.) (Scholars:曹东兴) | Hu, Bin (Hu, Bin.) | Yao, Ming-Hui (Yao, Ming-Hui.) | Fan, Jin-Hong (Fan, Jin-Hong.)

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Abstract:

The experimental results of the nonlinear nonplanar periodic and chaotic vibrations are demonstrated for a cantilever beam with square cross-section under harmonic vertical base excitation. It is illustrated that this simple system can exhibit complicated dynamics, including periodic doubling bifurcation and chaotic motion. The experimental results also indicate that there indeed exist the multi-pulse Shilnikov type chaotic motions for the nonlinear nonplanar oscillations of the cantilever beam in three-dimensional phase space. It is verified that the phenomena of the multi-pulse Shilnikov type jumping orbits detected by the theoretical analysis indeed exist in the nonplanar nonlinear motion of the cantilever beam subjected to a harmonic vertical base excitation at the fixed end. Copyright © 2007 by ASME.

Keyword:

Phase space methods Nanocantilevers Cantilever beams Design Chaos theory Dynamics

Author Community:

  • [ 1 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, China
  • [ 2 ] [Cao, Dong-Xing]College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, China
  • [ 3 ] [Hu, Bin]School of Health Administration and Education, Capital Medical University, Beijing 100069, China
  • [ 4 ] [Yao, Ming-Hui]College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, China
  • [ 5 ] [Fan, Jin-Hong]College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, China

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Source :

Year: 2008

Volume: 5 PART C

Page: 1647-1651

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 11

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