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门式钢框架稳定分析的精细传递矩阵法 被引量:3

Precise transfer matrix method for stability analysis of steeel portal frame
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摘要 将精细传递矩阵法应用于门式钢框架的稳定分析,研究门式钢框架在考虑构件轴向变形及不考虑轴向变形时的屈曲荷载.根据精细传递矩阵法原理和压杆微弯平衡状态下的平衡微分方程,建立门式钢框架稳定分析的精细传递矩阵式.并运用精细传递矩阵法对铰支约束下的门式钢框架进行了屈曲荷载的计算.计算结果与有限元软件ANSYS的计算结果基本一致,从而验证了本文方法是正确、有效的.运用以上理论对于不同边界条件的门式钢框架进行了稳定分析.分析表明:门式钢框架的屈曲荷载在考虑轴向变形时与不考虑轴向变形时是一致的.对门式钢钢框架进行稳定分析时,可不考虑构件轴向变形的影响. Considering or neglecting the axial deformation of components,the buckling loads of steel portal frame are studied by the precise transfer matrix method(PTMM).According to the principle and slightly bending equilibrium differential equation of compression bar,the PTMM for stability analysis of steel portal frame is built under axial force.and the buckling loads of steel portal frame under hinge support are solved.The results were basically identical with the result by finite element method.This shows that the method is right and effective.Based on the algorithm mentioned above,the stability analysis of steel portal frame with dfifferent boundary conditionis has been done.Some examples indicate that the buckling loads of steel portal frame considered are identical with that which is neglected.The suggestion is giving no consideration to the axial deformation of components to analysis the stability of steel portal frame.
出处 《西安建筑科技大学学报(自然科学版)》 CSCD 北大核心 2011年第3期374-378,共5页 Journal of Xi'an University of Architecture & Technology(Natural Science Edition)
基金 国家自然科学基金资助项目(51078306) 西安建筑科技大学人才科技基金项目(RC1027) 西安建筑科技大学重大科技项目创新基金资助项目(ZX0901) 高等学校博士学科点专项科研基金资助项目(20106120110004) 陕西省重点学科建设专项资金资助项目(E01004)
关键词 精细传递矩阵法 门式钢框架 屈曲荷载 平衡微分方程 precise transfer matrix method steel portal frame buckling load equilibrium differential equation
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