变截面梁单元在任意荷载作用下固端内力的统一计算方法  

The General Calculating Method of Fixed-End Internal Force for Variable Section Beam Under Arbitrary Load

作　　者：赵志强 丁婷[2] 丁圣果[2] 李绮文[3] ZHAO Zhi-qiang;DING Ting;DING Sheng-guo;LI Qi-wen(Guiyang Architectural Design Co.Ltd.,Guiyang 550003,China;Institute of Civil Engineering of Guizhou University,Guiyang 550003,China;Mingde College of Guizhou University,Guiyang 550003,China)

机构地区：[1]贵阳市建筑设计院有限公司,贵阳550003 [2]贵州大学土木工程学院,贵阳550003 [3]贵州大学明德学院,贵阳550003

出　　处：《工程建设与设计》2020年第16期9-12,共4页Construction & Design for Engineering

摘　　要：应用奇异函数方法和高斯求积法导出梁单元固端内力的统一计算式,该方法适用于任意变截面单元在任意荷载作用下的固端内力计算,根据导出的计算式易于实现有限单元法的编程计算。大量算例结果表明,该方法将各种荷载的固端内力计算统一,概括面更广,且结果精度在99%以上,完全满足工程计算精度要求。The uniform calculation formula of fixed-ended element forces at the element beam is derived by using Singular function and Gaussian quadrature method.The method is applicable to the calculation of the internal force at the fixed end of any variable section element for various load.According to the derived formula,it is easy to realize the programming calculation of finite element method.Lots of calculation results show that the method can unifies the calculation of fixed ended element forces for various loads.It is covering a wider range,and the accuracy of the resultsis over 99%,which fully meets to the requirements ofengineering calculation accuracy.

关 键 词：渐变截面梁 任意荷载 固端内力列阵 有限元 

分 类 号：TU31[建筑科学—结构工程]