摘要
研究了横向气动载荷和参数激励联合作用下复合材料悬臂外伸矩形板在伸出过程中的非线性动力学问题.根据Reddy的高阶剪切层合板理论,应用Hamilton原理建立了外伸板在横向气动力和参数激励作用下的非线性动力学方程,其中横向气动力采用一阶活塞气动力.然后应用Galerkin方法对系统偏微分形式的非线性方程进行离散,得到了一组时变系数的非线性动力学方程.在此方程的基础上,对复合材料悬臂外伸板进行了数值模拟分析,讨论了外伸速度对悬臂外伸板非线性动力学特性的影响.
This paper studied the nonlinear dynamics of deploying cantilever laminated composite plates subjec- ted to transversal aerodynamic pressures and in-plane excitations. The first-order piston theory was employed to model the transversal air pressures. Based on Reddy＇s third-order shear deformable plate theory and Hamilton Principal, the nonlinear governing equations of motion were established for the deploying cantilever laminated composite plates. By choosing suitable vibration mode-shape functions, the two-degree-of-freedom nonlinear gov- erning equations of motion with time-varying coefficients were deduced by using Galerkin method. The influences of varying deploying velocities on the nonlinear resonance of the deploying cantilever plate were analyzed.
出处
《动力学与控制学报》
2015年第4期288-292,共5页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11290152
11072008和10732020)~~
