鞍形索网屋盖结构风振响应分析的Ritz-POD法  

WIND-INDUCED RESPONSE ANALYSIS OF SADDLE-BACKED CABLE NET ROOFS USING RITZ-POD METHOD

作　　者：冯若强[1] 武岳[1] 沈世钊[1] 

机构地区：[1]哈尔滨工业大学深圳研究生院,广东深圳518055

出　　处：《工程力学》2006年第12期73-79,共7页Engineering Mechanics

基　　金：国家自然科学基金重点项目(50338010);国家自然科学基金资助项目(50478028)

摘　　要：鞍型索网屋盖结构频率密集,当采用基于随机振动理论的振型叠加法进行分析时,如果只考虑前几阶或者十几阶振型很难得到准确结果,这就需要考虑多阶振型的影响,而应该选取多少阶振型,选取哪些振型,目前还没有一个系统且准确的选取方法。为此,提出了一种有效的选取结构主要振型的方法,即Ritz-POD法,该方法主要是联合运用Ritz向量叠加法和本征正交分解法(POD法),在频域内进行大跨度屋盖结构的风振响应分析,并采用该方法分析一鞍形索网屋盖结构的风振响应,同传统的振型叠加法的计算结果进行了比较,证明了该方法的准确性及高效性。Large-span saddle-backed cable net roofs are apt to have many frequencies in a narrow frequency range. Analyzing the wind-induced response of roof using mode superposition method with just the first several modes would not lead to accurate results. No generally accepted method exists regarding the necessary number of modes required for such analysis at present. An effective method - Ritz-POD method - to choose the significant modes is proposed. The method is used in the wind-induced response analysis of a saddle-backed cable net roof. The result is compared with that of the traditional mode superposition method, proving effectiveness and accuracy of the method.

关 键 词：鞍型索网结构 风振响应 频域 PODt Ritz向量 

分 类 号：TU311.3[建筑科学—结构工程] TU351