多跨超静定梁的分布传递函数方法  

Distributed Transfer Function Method for Multi Span Statically Indeterminate Beam

作　　者：蒋纯志 黄健全 唐政华 JIANG Chunzhi;HUANG Jianquan;TANG Zhenghua(College of Electronic Information and Electronic Engineering,Xiangnan University, Chenzhou 423000, Chin)

机构地区：[1]湘南学院电子信息与电气工程学院,湖南郴州423000

出　　处：《湘南学院学报》2018年第2期29-31,120,共4页Journal of Xiangnan University

基　　金：湖南省教育厅科研基金项目(14C1060);郴州市科技计划项目(CZ2014042)

摘　　要：为了求解多跨超静定梁的静力学响应,提出了多跨超静定梁静力学分析的分布参数传递函数方法.通过定义状态变量,把挠曲线微分方程改写成状态空间形式的基本控制方程,并借助有限元法的单元组集方式,建立了适用于复杂荷载和边界条件的多跨超静定梁传递函数求解模型.该模型可计算超静定梁各截面的内力和变形.最后给出一个算例验证此方法的准确性和有效性.To solve the static response of multi-span statically indeterminate beam,a distributed transfer function method is presented. By defining the state variables,the differential equation of the deflection curve is rewritten as the basic control equations in state space form. And with the aid of the unit set mode of finite element method,a solution modelof multi-span statically indeterminate beam transfer function,which is applicable to various kinds of complicate external forces and boundary,is established. Moreover,the model can be used to calculate the internal force and deformation. An example is given to verify the accuracy and effectiveness of this method.

关 键 词：超静定梁 静力学 传递函数方法 变形 内力 

分 类 号：O342[理学—固体力学]