Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (1): 107-120.doi: https://doi.org/10.1007/s10483-016-2012-9

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Aeroelastic dynamics stability of rotating sandwich annular plate with viscoelastic core layer

Xingzhe WANG1, Longfei LI2, Youhe ZHOU1   

  1. 1. Key Laboratory of Mechanics on Disaster and Environment in Western China, the Ministry of Education of China, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China;
    2. Department of Theoretical and Applied Mechanics, School of Mining and Safety Engineering, Shandong University of Science and Technology, Qingdao 266510, Shandong Province, China
  • Received:2015-01-09 Revised:2015-05-11 Online:2016-01-01 Published:2016-01-01
  • Contact: Xingzhe WANG E-mail:xzwang@lzu.edu.cn
  • Supported by:

    Project supported by the Innovative Research Groups of the National Natural Science Foundation of China (No. 11421062) and the National Natural Science Foundation of China (No. 11202119)

Abstract:

A dynamic model for a rotating sandwich annular plate with a viscoelastic core layer is developed. All fundamental equations and boundary conditions are established based on Hamilton's principle, and the rotation effect and viscoelastic properties of the sandwich structure are taken into account. The aerodynamics force acting on the plate is described by a rotating damping model, and the constitutive behavior of the viscoelastic core layer is formulated by the frequency-dependent complex modulus. The effects of geometrical and material parameters on frequencies and damping of forward and backward traveling waves and the dynamic stability for the rotating sandwich plate are numerically analyzed by means of Galerkin's method. The results show that the critical and flutter speeds of the rotating plate can be increased at some certain parameters of the viscoelastic core layer.

Key words: buckling, critical speed, vibration, numerical analysis, laminate, flutter speed

2010 MSC Number: 

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