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Dynamic analysis of a rotating rigid-flexible coupled smart structure with large deformations

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Abstract

Based on Hamilton’s principle, a new kind of fully coupled nonlinear dynamic model for a rotating rigid-flexible smart structure with a tip mass is proposed. The geometrically nonlinear effects of the axial, transverse displacement and rotation angle are considered by means of the first-order approximation coupling (FOAC) model theory, in which large deformations and the centrifugal stiffening effects are considered. Three kinds of systems are established respectively, which are a structure without piezoelectric layer, with piezoelectric layer in open circuit and closed circuit. Several simulations based on simplified models are presented to show the differences in characteristics between structures with and without the tip mass, between smart beams in closed and open circuit, and between the centrifugal effects in high speed rotating state or not. The last simulation calculates the dynamic response of the structure subjected to external electrical loading.

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Authors and Affiliations

  1. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, 710072, P. R. China

    Huang Yong-an  (黄永安), Deng Zi-chen  (邓子辰) & Yao Lin-xiao  (姚林晓)

  2. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, P. R. China

    Huang Yong-an  (黄永安)

  3. State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian, 116024, P. R. China

    Deng Zi-chen  (邓子辰)

Authors
  1. Huang Yong-an  (黄永安)
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  2. Deng Zi-chen  (邓子辰)
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  3. Yao Lin-xiao  (姚林晓)
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Corresponding author

Correspondence to Deng Zi-chen  (邓子辰).

Additional information

Communicated by YUE Zhu-feng

Project supported by the National Natural Science Foundation of China (Nos. 10572119, 10632030 and 50625516), the Program for New Century Excellent Talents in University (No. NCET-04-0958), the Major State Basic Research Development Program of China (973 Program) (No. 2003CB716207) and the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment of China

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Huang, Ya., Deng, Zc. & Yao, Lx. Dynamic analysis of a rotating rigid-flexible coupled smart structure with large deformations. Appl Math Mech 28, 1349–1360 (2007). https://doi.org/10.1007/s10483-007-1008-z

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  • DOI: https://doi.org/10.1007/s10483-007-1008-z

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