轴向运动复合材料薄壁梁的横向振动分析

Transverse Vibration Analysis of Axially Moving Composite Thin-Walled Beams

研究可轴向运动复合材料薄壁梁的动力学特性.基于VAM(变分渐进法)复合材料薄壁梁理论,采用Euler-Bernoulli梁模型并根据Hamilton原理来建立复合材料薄壁梁的动力学方程.应用假设模态法对薄壁梁进行自由振动分析,通过比较研究验证了该建模方法的正确性,并分析了几何参数和物理参数对薄壁梁固有频率的影响.推导了轴向运动复合材料薄壁梁的横向振动方程,借助四阶Runge-Kutta法进行数值计算,研究了不同纤维铺层方式和不同匀速度大小对可轴向运动复合材料薄壁梁横向振动末端位移响应的影响.

Dynamics of axially moving laminated composite thin-walled beams is studied in the paper.Based on the variational asymptotic method(VAM)for the composite thin-walled beams,and using the Euler-Bernoulli beam model and Hamilton's principle,the dynamical equations of the composite thin-walled beam are established.The free vibration of the thin-walled beam is analyzed by the assumed mode method,and the accuracy of the modeling approach is verified by comparison to the other approaches.Then,the transverse vibration equation of the axially moving composite thin-walled beams is derived,which is solved numerically by the fourth-order Runge-Kutta method.Lastly,the effects of various fiber lay-up techniques and uniform velocities on the tip displacement response are investigated.