基于动力刚度法的体外预应力梁自振频率分析  

Dynamic stiffness matrix method for vibration analysis of an external prestressed beam

作　　者：熊学玉[1,2] 沈小东[1,3] 

机构地区：[1]同济大学土木工程学院建筑工程系,上海200092 [2]先进土木工程材料教育部重点实验室(同济大学),上海200092 [3]中国水电顾问集团华东勘测设计研究院,杭州310014

出　　处：《振动与冲击》2010年第11期180-182,220,共4页Journal of Vibration and Shock

基　　金：国家工程建设行业标准<预应力混凝土结构设计规范>研究项目;上海市科委科技支撑计划(09231201102);上海市科委<现代预应力成套技术>(0907H194200);教育部博士点基金(20090072110051);铁道部重点课题(2010G009-K);科技部创新项目(10C26213100691)

摘　　要：用预应力梁-杆组合结构模拟体外预应力梁,以体外预应力简支梁为例,建立了预应力梁杆单元动力刚度矩阵。采用动力刚度法,进一步推导出预应力梁-杆组合结构的整体动力刚度矩阵,利用Williams-Wittrick算法求解频率。本文以理论推导为基础,引入了动力刚度法。最后通过算例,讨论了各种因素对梁横向的振动特性的影响,并与试验值比较。计算结果表明:动力刚度法能够精确有效的求解体外预应力混凝土梁的横向振动问题。A prestressed beam-bar composite structure model was introduced to simulate an external prestressed beam.A simply-supported external prestressed beam was studied.The dynamic stiffness matrix method was used to establish the element and the global dynamic stiffness matrices for the beam-bar composite structure model of the external prestressed beam.As a result,the frequency solution was obtained by means of Williams-Wittrick algorithm.Based on the theoretical derivation,the dynamic stiffness method was introduced.The influence on the natural frequencies of the beam were also discussed.Numerical results showed that the dynamic stiffness matrix method is reliable,efficient,and well applicable to this kind of problems.

关 键 词：动力刚度法 体外预应力梁 频率 Williams-Wittrick算法 组合结构 

分 类 号：TU378.2[建筑科学—结构工程]