研究了切向均布随从力作用下热弹耦合轴向运动梁的稳定性问题。建立了热弹耦合轴向运动梁在随从力作用下的运动微分方程,采用归一化幂级数法,推导出了2种边界条件下热弹耦合轴向运动梁在随从力作用下的特征方程。计算了系统的前3阶量纲一复频率,分析了量纲一运动速度、量纲一热弹耦合系数和量纲一随从力等参数对梁的稳定性的影响。
The thermoelastic coupling stability of the axially moving beam under the action of uniformly distributed tangential follower forces was investigated.The differential equation of motion for the axially moving beam under the action of uniformly distributed tangential follower forces was established,and the eigenequation for the axially moving beam with two kinds of boundary conditions subjected to follower forces was derived by a normalized power series method.The first three orders dimensionless complex frequencies of the system were calculated,and the effects of the dimensionless moving speed,the dimensionless thermoelastic coupling factor,the dimensionless follower forces on the stability of the axially moving beam in the thermoelastic coupling case were analyzed.