摘要
以LeeLHN的有限变形弹塑性连续体的最小加速度原理为基础,对理想弹塑性材料的两端铰支梁受矩形脉冲载荷作用时的动力行为进行了数值计算和分析,结果得到了梁的动力响应的异常现象,通过详细分析整个响应过程各个阶段梁的轴力、弯矩、曲率及纵、横向位移的分布和变化规律,从而澄清了人们对异常行为所做的物理解释的一些问题。
Based on the mi nimum principle of acceleration fo r the elastic plastic continua in finite deformation, the dynamic re sponse of an elastic perfectly pla stic simply supported beam subject ed to rectangular impulse load is studied with the help of a numeric al approach. The calculated result s once again show the anomalous be havior of the beam during its resp onse process. By carefully analyzi ng the instantaneous distribution of the bending moment, the membran e force, the curvature and displac ement during the response process, it is concluded that the interactive effect between the geo metry and material nonlinearities of th structure is the key reason of leading to the anomalous behavi or. This will be helpful for clear ing up some misunderstandings in e xplaining the problem before.
出处
《固体力学学报》
CAS
CSCD
北大核心
1999年第2期113-122,共10页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金
关键词
有限变形
动力响应
弹-塑性响应
弯矩分布
finite deforma tion, minimum principle of acceler ation, dynamic elastic plastic res ponse, bending moment distribution , anomalous behavior