采用辅助体系法研究等直梁弹塑性传递关系  

Research on elastoplastic transmission of uniform straight beam by auxiliary system method

作　　者：杨帆[1] 李青宁[1] 孙建鹏[1] 冯伟[2] 

机构地区：[1]西安建筑科技大学土木工程学院,陕西西安710055 [2]石家庄铁道大学四方学院,河北石家庄051132

出　　处：《自然灾害学报》2014年第1期229-237,共9页Journal of Natural Disasters

基　　金：国家自然科学基金项目(51078306);高等学校博士学科点专项科研基金项目(20106120110004);陕西省教育厅专项科研计划资助项目(12JK0916);西安建筑科技大学重大科技项目创新基金项目(ZX0901)

摘　　要：采用辅助体系法导出了等直梁的传递矩阵;采用单分量模型模拟弹塑性阶段的梁单元,从弯矩与杆端力的恢复力模型中分离出弯矩与塑性转角的关系,导出了塑性铰的点矩阵,从而推导了弹塑性阶段杆元三种不同情况的传递矩阵。通过实例计算,辅助体系传递矩阵法与有限元法的结果进行比较,表明辅助体系法的正确性及高效性。本文结果可用于等直梁结构的弹塑性分析。In this paper, transfer matrix of the straight beam was deduced by auxiliary system method. One-component model was used to simulate the beam element model in elastic-plastic stage, in which the relation- ship between bending moment and plastic angle was separated from the restoring model of bending moment and rod end load to develop the dot matrix of plastic hinge, and thus the transfer matrixes of elastic-plastic stage under three different conditions was derived. From the example calculation, the results of the auxiliary system transfer matrix method and finite element method were compared. Results show that the auxiliary system transfer matrix method is valid and effective. The results can be used for nonlinear analysis of the straight beam.

关 键 词：辅助体系法 等直梁 塑性铰 传递矩阵 恢复力模型 

分 类 号：TU313.2[建筑科学—结构工程]