沿轴向飞行粘弹性夹层梁热弹耦合振动响应分析

RESPONSE ANALYSIS OF THE COUPLED THERMOELASTIC VIBRATION FOR THE AXIALLY FLYING VISCOELASTIC SANDWICH BEAM

研究了沿轴向飞行粘弹性夹层梁的热弹耦合振动响应.考虑材料变形与传热的相互影响,建立了轴向运动粘弹性夹层梁的热弹耦合振动控制方程;将方程中激励项(温度函数与外激力)拟合为时间的函数,采用伽辽金法得到方程的位移解,并在每一个微小的时间段内采用迭代收敛的数值方法对热传导方程进行求解得到温度场.使用数值方法讨论了轴向飞行运动速度和热载荷持续时间对其振动响应的影响.研究表明:稳定振动时飞行速度对位移影响较大,对温度影响较小;热冲击对振动位移响应有较大影响,并改变振动特性.

The coupled thermoelstic vibration response of the axially flying viscoelastic sandwich beam was investigated. Considering the interaction of the material deformation and the heat conduction,the coupled governing equations of the axially moving viscoelastic sandwich beam were derived. The exciting load,which consists of temperature function and external excitation force,of the equations was interpolated by a quadratic polynomial of time,then the vibration equation was solved by the method of Galerkin,and the displacement was obtained in every small time by using the numerical method of iteration and convergence to solve heat conduction equation,thus the temperature was gained. The influence of the axially moving speed and thermal loading duration on the response of the structures was studied by using numerical method. The results show that the influence of flying speed on the beam＇s displacement is obvious,but on the temperature is small when the beam vibrates stably; thermal impact has a large influence on the beam ＇s response,and changes the vibration characteristics.