简支圆板在爆炸冲击荷载作用下的动力响应

采用双剪应力强度理论,考虑材料的拉压强度比,求解了简支圆板在爆炸冲击荷载波荷载作用下的动力响应问题。根据运动方程和用弯矩表达的广义屈服条件得到弯矩控制方程,根据几何方程和流动法则得到速度控制方程,由此得到简支圆板的速度场和内力场,并对速度进行积分得到圆板的挠度响应。根据板终止运动时其速度为零,得到终止运动时间和板的残余挠度。采用本文的解,取板的运动角加速度为零得到该问题的静力解。讨论采用不同的拉压强度比对简支圆板塑性动力响应的影响。研究结果表明,材料的拉压强度比对简支圆板的塑性动力解的影响很大,而且大于对静态问题解的影响。

Dynamic Response of Circular Plate Subjected to Explosive Load

This paper has analyzed the dynamic plastic response of simply supported circular plate under explosive load by using twins shear strength theory considered the strength-differential effect.The governing moment equation is obtained by the motion equations of circular plates and the yield conditions.The governing equation of the velocity is obtained by the geometry equations and the associated flow rule.There out the velocity fields and the moment fields are obtained.The deflection response is obtained by integral the velocity.The terminal time and the residual deflection is obtained when the velocity of plate is zero.By the solutions of this paper,the static solution of the circular plate is obtained when the acceleration is zero.Analyzed and discussed the influence of different tension-compression ratio on the dynamic response and compared with the influence of the static solutions.The results indicate that the influences are greater for plate in dynamic plastic limit state than in static plastic limit state.