功率流理论、统计能量分析和能量有限元法之间的关联性  

Relevancy among power flow theory,statistical energy analysis and energy finite element method

作　　者：殷学文[1] 崔宏飞[2] 顾晓军[1] 黄捷[2] 沈荣瀛[1] 

机构地区：[1]上海交通大学振动、冲击、噪声国家重点实验室 [2]无锡职业技术学院汽车教研室

出　　处：《船舶力学》2007年第4期637-646,共10页Journal of Ship Mechanics

摘　　要：基于能量的方法由于可以克服传统结构动力学在分析高频问题的某些不足,因而在很多工程领域得到广泛应用。本文全面回顾了功率流理论、统计能量分析、能量有限元法四十年以来的研究进展,以功率流理论为线索,将统计能量分析和能量有限元法进行了较全面的讨论,并将其归纳到基于能量的分析方法的理论框架内。最后,比较三种理论的基本原理,并指出它们在基于类似的能量平衡方程,输入和损耗功率表达形式上的关联性。而且还指出了它们在处理结构振动和声辐射问题上各自适用的频率范围。　Energy-based methods are extensively used in many engineering fields since they can overcome the deficiencies that may appear in high frequency problems with conventional structural dynamics.In this paper,the research developments which involve power flow theory,statistical energy analysis and energy finite element method in nearly the past four decades are fully reviewed.With the clue of power flow theory,statistical energy analysis and energy finite element are discussed in detail and then concluded in the principle frame of energy-based methods.Finally,the basic principles involved in the three theories are compared and their relevancy which is based on similar energy balance equations,input and dissipated power expressions is pointed out.Moreover,the individual frequency ranges in which they can be applicable to the problems of structural vibration and sound radiation are outlined also.

关 键 词：结构振动 声辐射 功率流 统计能量分析 能量有限元 

分 类 号：O326[理学—一般力学与力学基础] O422.6[理学—力学]