声激励柱壳响应分析中的结合受纳函数

结合受纳函数 (Joint Acceptance Function)是分析声载荷作用下结构特性时遇到的一个特殊的函数。这个函数不仅取决于结构模态 ,还取决于声场特性。本文以柱壳结构为研究对象 ,从分析结合受纳函数的定义、性质入手 ,研究如何利用结构分析中广泛采用的有限元数值结果来计算结合受纳函数 ,获得一种解决工程问题的通用方法。通过和解析解获得的结果比较说明这种结合受纳函数的数值计算方法是可行的。

The Joint Acceptance Function in Response Analysis of Cylindrical Shell Excited by Noise

In analysis of structures excited by noise a special function joint acceptance function should be calculated.This function represents the coupled relation between structural modes and sound modes.It is an integration of them in space.In general,this function can be obtained only in the case where the analytical experssions for both structural modes and sound modes have been established.However,for most engineering structures such as the casing of aero engine it is difficult to obtain the analytical expression for its modes (either structural or sound).The article presents the research work in view of this problem.Considering the main structural type of the aero engine,we take cylindrical shell as studied structural type.In the article it is studied how to calculate the joint acceptance function based on the result obtained by finite element method,which is used widely in structure analysis.A general numerical calculating method is presented.The result obtained by this method is compared with the analytical result.