任意载荷下三角形板单元的局部动力效应修正

LOCAL DYNAMIC EFFECT MODIFICATION OF TRIANGLE PLATE ELEMENT UNDER ARBITRARY EXCITATION

推导了任意荷载激励下三角形板单元局部动力效应的修正公式,建立了三角形板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及其局部动力效应修正,并与四边形板单元的局部效应计算结果比较发现:局部动力效应影响与加速度成正比,悬臂板在忽略局部效应的情况下,所得动内力与理论值及精确解相差较大,因此结构设计中必须考虑局部动力效应的影响。

A computational model for triangular plate element under arbitrary excitation is established and a refined dynamic formulation taking in account the local effect is presented. With the present model, refined dynamic analysis of structures with complex boundaries can be performed. A cantilever plate is studied by conducting time-history analysis and modifying its local effect. The results are compared with those obtained using quadrangle plate element. It is shown that the local dynamic effect is directly proportional to the acceleration and the neglect of local effect results in significant differences of dynamic internal forces with their theorectical values. Thus, the local dynamic effect must be considered in the dynamic formulation for triangular plate element.