Abstract:Based on Von Kármán thin plate large deflection theory and Kirchhoff assumption, the nonlinear vibration characteristics of gradient porous thin-walled plate are studied. Considering the three different distributions of pores along the thickness direction of the wall plate, the Galerkin method is used to transform the gradient porous wall plate and the nonlinear equation is obtained by integrating the aerodynamic chord length. Then the determination of Hopf bifurcation is transformed into the root of the nonlinear equation by using the Hurwitz determinant, and the dimensionless critical frequency and dimensionless critical velocity are solved. Finally, a numerical example is calculated and compared with the results obtained in the existing literature. The effects of temperature stress, porosity and aerodynamic stiffness coefficient on the aeroelastic stability of gradient porous thin-walled plates are analyzed.
韩明君,李金佩,王鹏. 超音速流-热载作用下梯度多孔壁板的非线性振动特性分析[J]. 振动与冲击, 2023, 42(2): 225-234.
HAN Mingjun,LI Jinpei,WANG Peng. Nonlinear vibration characteristics of a gradient porous wall plate under supersonic flow and heat load. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(2): 225-234.
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