任意荷载下三角形板单元的精确解

Exact Solution of Triangle Plate Element under Arbitrary Excitation

推导了任意荷载激励下三角形板单元考虑局部效应的精确的动力计算公式 ,建立了三角形单元局部效应的计算模型 ,从而为复杂边界结构的动力精确计算提供了一简便可行的方法 .通过对一悬臂板进行结构动力时程分析发现 :在忽略局部效应的情况下 ,所得动内力与理论值相差较大 ,因此结构设计中必须考虑局部动力效应的影响 .

The refined dynamic formulation and the computation model of triangle plate element under arbitrary excitation have been put forward, in which the local effect is considered. Whereby a simple and workable method used in refined dynamic compute of structures with complicate borders has been provided. By conducting structure dynamic time process analysis and modifying local effect for a cantilever plate, it has been found that there would be large differences among dynamic internal forces and their theoretical values without the local effect. So the local dynamic effect must be considered in design of some structures.