温度场中桥面矩形薄板动力稳定性研究

分析温度场中桥面矩形板受横向均布简谐激励作用的动力稳定性问题。应用弹性力学理论建立其动力学方程，应用Galerkin方法将其转化为非线性振动方程。利用稳定性理论分析其运动稳定性，给出系统随控制参数变化运动稳定性规律。利用非线性振动的多尺度分析方法求得系统主共振的近似解，系统主共振幅频响应曲线具有跳跃现象和明显的硬刚度特性。

Study on dynamical stability of deck rectangular thin plate in temperature field

For analyzing the dynamical stability of deck rectangular thin plate subject to harmonic excitation in temperature field, the system nonlinear dynamical equation is established based on elastic theory, and is transformed to nonlinear vibration equation based on Galerkin’s method. The stability system is analyzed by means of stability theory. By using the multiple scales method of nonlinear vibration, the approximation solution of system primary resonance is acquired. The analysis results show that the system primary resonance curve has jumping phenomenon and hard stiffness characteristic.