变截面门式刚架结构分析的微分求积单元法  

Analysis of Portal Frames with Variable Sections by DQEM

作　　者：聂国隽[1] 仲政[1] 

机构地区：[1]同济大学固体力学教育部重点实验室

出　　处：《力学季刊》2005年第2期198-203,共6页Chinese Quarterly of Mechanics

基　　金：同济大学理科科技发展基金(TJLK0413);国家杰出青年科学基金(10125209)

摘　　要：本文采用一种精确、简便的数值计算方法———微分求积单元法(DQEM)对变截面门式刚架结构进行了力学分析。首先建立了一般荷载作用下变截面构件的平衡微分方程,并采用微分求积法进行离散,进而得出了较为精确的分析变截面构件的单元力学模型。该模型的刚度方程不仅反映了单元的刚度性质,而且反映了单元的实际荷载作用,可较为精确地分析变截面门式刚架结构在分布载荷作用下的受力性能。通过与有限元法计算结果的比较,表明了微分求积单元法在变截面刚架的力学分析中的正确性和优越性。微分求积单元法可用于任意形状的刚架结构的静力分析。A differential quadrature element method (DQEM) was presented for the analysis of portal frames with variable sections. The equilibrium differential equation of variable sections under arbitrary external loads was established and the discrete equations were obtained by differential quadrature method (DQM). The precise analysis model of variable sections was derived. The stiffness equation of this model not only reflects the stiffness property of element but also reflects the property of element under distributed external loads. This DQEM model can be used in the rigorous analysis of portal frames with variable sections. Numerical example was performed and the results were compared with the data obtained by FEM. The validity and efficiency of DQEM are shown. DQEM can be used to analysis generic frame problems.

关 键 词：变截面构件 门式刚架结构 微分求积单元法 

分 类 号：TU32[建筑科学—结构工程]