摘要
首先利用薄壁箱梁理论及样条有限点法建立了样条箱拱段单元的刚度矩阵、阻尼矩阵及质量矩阵,这种单元考虑了箱拱的拉压、弯曲、扭转、剪力滞、扭翘及畸翘等特性;其次利用QR法(秦荣的方法)建立了箱拱桥梁的动力模型,将三维问题变为一维问题求解;然后利用样条加权残数法建立了求解动力模型的无条件稳定算法,从而提出了箱拱桥梁地震反应分析的新方法。计算结果表明,此法不仅未知量数目少,计算时间省,而且精度高。
The stiffness matrix, damping matrix and massive matirix of a spline box arch segment element are built by thin-walled box girder theory and spline finite point method, considering the charactistics of extension, compression, flexure, torsion, torsional warpage, distorsional warpage and shear lag deflection. The dynamic model for analysis of box arch bridges is built by Qin Rong method, this procedure decomposes three dimensional problem into one dimensional problem. Then the unconditionally stable algorithm for the solving of the dynamic equations is formed by the method of spline weighted residual, which formed a whole new set of method to analyze the seismic response of box arch bridges. With few unknown quantities and less computation time, the numerical results of this new method are in good agreement with an exact solution.
出处
《工程力学》
EI
CSCD
北大核心
2009年第5期148-152,共5页
Engineering Mechanics
基金
国家自然科学基金项目(19872020)
广西自然科学基金项目(桂科自0728030)
广西科技攻关项目(桂科攻0322022-3)
关键词
箱拱桥梁
地震反应
QR法
无条件稳定算法
样条单元/样条子域
样条加权残数法
box arch bridge
seismic response
Qin Rong method
unconditionally stable algorithm
spline element/spline subdomain
spline weighted residual method
