直杆塑性动力屈曲的双特征参数解

TWIN-CHARACTERISTIC-PARAMETER SOLUTION FOR PLASTIC DYNAMIC BUCKLING OF BARS

在关于轴向弹塑性压缩波下直杆塑性动力屈曲的研究中 ,将临界应力和屈曲惯性项指数参数作为一对特征参数求解 .由动力屈曲发生瞬间的能量转换和守恒准则 ,导出波阵面上的屈曲变形补充约束条件 .失稳控制方程、边界条件、塑性波阵面上的连续条件和补充约束条件构成定量求解两个特征参数和动力屈曲模态的完备条件 .

The critical stress and the exponential parameter of buckling inertia terms are treated as a couple of characteristic parameters to investigate the dynamic buckling of bars under axial elastoplastic compression waves. The supplementary restraint condition of buckling deformation at the fronts of axial compression waves is obtained in terms of the criterion of transformation and conservation of energy in the transient process of dynamic buckling. The necessary and sufficient conditions of determining quantitatively the two characteristic parameters and buckling modes consist of stability equations, boundary conditions, continuity conditions at the front of axial plastic wave, and the supplementary restraint condition.