摘要
基于最小势能原理,建立了刚架结构的间接荷载效应矩阵。将间接荷载效应矩阵转化为约束矩阵后,根据约束矩阵的性质,推导了刚结点转变为铰结点时约束矩阵自身的传递规律。将约束矩阵中导出的重分布弯矩向量与初始弯矩向量进行叠加,即可得到新刚架结构的内力。因为避免了刚度矩阵的再次形成与分解、计算结点位移等中间过程,所以使计算量大幅度减少。算例表明该文提出的简洁方法是正确、可靠和有效的。
Based on the principle of minimum potential energy, the indirect load effect matrix of a rigid frame is established. The transfer law of a constrain matrix due to transition form a stiff-joint to a hinge is deduced according to the property of the constrain matrix transformed from the indirect load effect matrix. Add the redistribution moment vector derived from the constrain matrix to an original moment vector, and the intemal force of the new rigid frame can be obtained immediately. As the simplified method avoids rebuilding and decomposing the total stiffness matrix and the solution of joint displacements, the computation rate is greatly improved. The numerical examples show that the proposed simolified method is correct, reliable and effective
出处
《工程力学》
EI
CSCD
北大核心
2012年第6期52-57,共6页
Engineering Mechanics
关键词
刚架结构
内力重分布
间接作用
结点约束
传递规律
rigid flame structure
redistribution of internal force
indirect action
nodal constraint
transfer law
