用转置矩阵求解静不定桁架的内力  

Solving Internal Force of Statically Indeterminate Truss with Transposed Matrix

作　　者：李苗苗 吴晓[2] Li Miaomiao;Wu Xiao(Department of Civil Architecture,Changde Vocational Technical College,Changde415000,Hunan,China;College of Mechanical Engineering,Hunan University of Arts and Science,Changde415000,Hunan,China)

机构地区：[1]常德职业技术学院土建系,湖南常德415000 [2]湖南文理学院机械工程学院,湖南常德415000

出　　处：《工程与试验》2021年第4期1-4,88,共5页Engineering and Test

摘　　要：证明了内力转换矩阵与位移转换矩阵是互为转置矩阵,并利用转置矩阵研究了静不定杆系的内力求解问题。由于杆系内力矩阵与位移矩阵是互为转置矩阵,可以方便地得到静不定杆系的变形协调条件。当静不定杆系内、外力平衡关系较容易确定,而其变形协调条件难以确定时,采用转置矩阵可以很方便地求得静不定杆系的内力,其计算过程简洁、清晰、明了。It is proved that the internal force transformation matrix and the displacement transformation matrix are transposed matrices of each other.The internal force solution of the statically indeterminate bar system is studied by using transposed matrix.Because the internal force matrix and displacement matrix of the bar system are transposed matrices,it is convenient to obtain the deformation coordination condition of the statically indeterminate bar system.When it is easy to determine the balance relationship between the internal force and the external force of the statically indeterminate bar system,but difficult to obtain its deformation coordination condition,the internal force can be easily obtained by using transposed matrix,and its calculation process is simple and clear.

关 键 词：转置矩阵 杆系 内力 变形协调 

分 类 号：O342[理学—固体力学]