应力波传播与屈曲耦合情况下结构动力屈曲控制方程探讨

从应力波作用下结构动力屈曲的特点出发，指出应力波作用下结构动力屈曲与结构中应力波传播的耦合导致时间成为结构动力屈曲的参变量，从而应力波作用下结构动力屈曲问题中结构的真实运动与邻近运动是不同时刻、不同扰动区域的比较，这使得其动力屈曲控制方程的建立不宜采用传统的等时积分变分原理；以压应力波作用下弹性直杆为例，应用能量守恒原理，根据屈曲时刻结构能量的转换关系，建立了弹性压应力波作用下半无限长直杆的动力屈曲控制方程，并得到了波前附加约束条件；最后，讨论了波前附加约束条件的物理意义，指出波前附加约束条件出现的根本原因是轴向应力波的传播与屈曲不能解耦。

The Derivation of governing equations for dynamic buckling of structures when dynamic buckling and stress wave propagating are coupling

Because of the coupling of dynamic buckling and stress wave propagating, the traveling time of the stress wave becomes one of the parameters in dynamic buckling caused by stress waves. So the real displacement and the adjacent displacement of the dynamic buckling caused by stress waves occur at different time and different area, which make it unsuitable for using of the integral variational principle in derivation of governing equations for dynamic buckling of structure under compression wave; By use of the conservation law of energy transformation in the instant course of buckling, the governing equations, boundary conditions and supplementary restraint-equation at the compression-wave front of column under elastic compression wave are derived; At last, the physical meaning of the supplementary restraint-equation is studied, and the appearance of the supplementary restraint-equation is attributed to the coupling of dynamic buckling and stress wave propagating.