求曲线箱梁桥自振频率的精细传递矩阵法  

Precise transfer matrix method for resolving the natural frequencise of curved box bridge

作　　者：孙建鹏[1,2] 李青宁[1,2] 张鹏科 

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]西部建筑科技国家重点实验室(筹),陕西西安710055 [3]陕西市政建筑设计研究院有限公司,陕西西安710068

出　　处：《西安建筑科技大学学报（自然科学版）》2009年第6期811-816,共6页Journal of Xi'an University of Architecture & Technology(Natural Science Edition)

基　　金：西安建筑科技大学重大科技项目创新基金(ZX0901);陕西省重点学科建设专项资金资助项目;陕西省自然科学基础研究计划项目(2005E236)

摘　　要：将高精度的精细积分法和力学概念清晰的传递矩阵法结合起来,以微分方程和矩阵分析理论为基础,提出了一种新的精细传递矩阵形式,推导了该方法的计算公式,并用于求解曲线箱形梁桥的自振频率.与传统的传递矩阵法相比,无需对微分方程组进行求解,只需按照迭代公式进行计算,就可以得到所需要的传递矩阵.根据边界条件,运用频率搜索方法便可得到结构的自振频率.提出的方法虽然是条件稳定的,但是稳定性条件极易满足.算例表明本文方法的有效性.Based on the theory of differential equations and matrix analysis, a new precise transfer matrix form is provided by combining the high-precision precise integration and the clear concept transfer matrix method. The calculation formulas of the method are derivated. The natural frequencies of the curved box bridge are solved with the method. Compared with the traditional transfer matrix method, there is no need to solve the differential equations, Just by following the iterative formula, the necessary transfer matrixes can be obtained. According to the boundary condition, the natural frequency of the structure can be got by the searching method of the frequency. The stable condition of the method is met easily. Example shows that the method is effective.

关 键 词：精细传递矩阵法 指数矩阵运算 曲线箱形梁桥 自振频率 

分 类 号：TU213.2[建筑科学—建筑设计及理论] TU451.4