摘要
对周边简支理想弹塑性圆板受脉冲载荷作用时的动力行为进行了数值计算与分析,揭示了板类结构反直观动力行为的客观存在性.通过分析发现,随着脉冲强度的增加,存在几个窄的载荷区域,板的响应是反直观的,而且在此附近,结构参数、载荷等因素的微小改变将导致响应模式的很大差异,表明反直观行为对这些参数的极其敏感性.进一步计算表明,这一特殊的动力行为主要与板内力间的相互耦合作用密切相关,同时,卸载后的结构反弹到另一侧时发生较大的反向塑性变形,导致能量的进一步耗散,使板呈现反常的动力响应.这一现象是几何与材料两种非线性相互作用的结果.
The anomalous response of elastoplastic circular plate subjected to short transverse pulse load is studied. The plate is simply supported along the boundary. It is found by detailed numerical analyses that there exists anomalous response in some narrow loading ranges which are called slots. In the vicinity of slots, a small variation of loads and structural parameters, etc, can lead to much different dynamic behavior. This special dynamic behavior is related to the coupling effects of internal forces and the large plastic deformation after un loading. The anomalous dynamic response results from the coupling of geometric nonlinearity, material nonlinearity, elastic effects and the irrecoverable feature of the plastic deformation.
出处
《固体力学学报》
CAS
CSCD
北大核心
2004年第4期389-393,共5页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金(10172063)
山西省自然科学基金(20041004)资助.
