在流体环境中,结构的振动会诱导周边的流体一起运动从而产生附加质量的影响,这也是结构工程中大跨度柔性结构耦合风振理论模型的重要组成部分。根据势流理论,采用奇点配置法利用空间点源(汇)及偶极子基本解推导了三维情形下结构振动诱导流场附加质量的计算式。数值分析结果表明:该方法能有效地计算复杂结构边界条件下流场的附加质量;其中索穹顶结构的数值算例也表明,在这类大跨度柔性结构的风振分析中附加质量的影响是很大的,必须引起足够的重视。
In the fluid environment, the vibration of the structure can induce the ambient fluid to move along with it, which successively produce so-called added mass, and this is also an important part of the model of coupled wind-induced vibration theory for the long-span flexible structures in structural engineering. Based on the potential fluid theory, the expression for calculating the added mass are deduced by singularity distribution method using basic solutions for space point sources (sinks) and dipoles under three-dimensional case. The numerical results show that the method can be used to compute the added mass arising from the fluid flow with complicated structural boundaries effectively, and the results for the cable dome also show that the added mass can influence the long-span flexible structures greatly in the analysis of wind-induced vibration, which should be paid high attention in the job of design.