Analysis of Nonlinear Vibrations and Dynamic Responses in a Trapezoidal Cantilever Plate Using the Rayleigh-Ritz Approach Combined with the Affine Transformation
作者: Wei TianZhichun YangTian ZhaoNhon Nguyen-Thanh
作者单位: 1School of Aerospace, Xi’an Jiaotong University, Xi’an, China
2National Key Laboratory of Science and Technology on Liquid Rocket Engine, Xi’an Aerospace Propulsion Institute, Xi’an, China
3School of Aeronautics, Northwestern Polytechnical University, Xi’an, China
刊名: Mathematical Problems in Engineering, 2019, Vol.2019
来源数据库: Hindawi Journal
DOI: 10.1155/2019/9278069
原始语种摘要: Nonlinear vibrations of a trapezoidal cantilever plate subjected to transverse external excitation are investigated. Based on von Karman large deformation theory, the Rayleigh-Ritz approach combined with the affine transformation is developed to obtain the nonlinear ordinary differential equation of a trapezoidal plate with irregular geometries. With the variation of geometrical parameters, there exists the 1:3 internal resonance for the trapezoidal plate. The amplitude-frequency formulations of the system in three different coupled conditions are derived by using multiple scales method for 1:3 internal resonance analysis. It is found that the strong coupling of two modes can change nonlinear stiffness behaviors of modes from hardening-spring to soft-spring characteristics. The detuning...
全文获取路径: Hindawi 

  • trapezoidal 梯形的
  • resonance 共振
  • Rayleigh 瑞利
  • internal 内部的
  • dynamic 动力学的
  • modes 模式
  • plate 
  • nonlinear 非线性的
  • excitation 激发
  • parameters 参数