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以往求桁架结构临界载荷归结为求桁架总刚度阵的特征值,而总刚度阵中的与轴力有关的几何刚度阵,则是从各杆件始终处于直线状态,并在轴向变形中考虑横向变位影响而导出的;这样就必然导致当整体失稳时各杆件都不会发生欧拉屈曲的结果,这是不合理的.作者认为桁架失稳有可能是由杆件的局部欧拉屈曲导致成机构所造成的.由此提出一种计算桁架临界载荷的新方法,算了若干例题,并和过去的一般方法作了比较.有的两者计算结果之差竟达18.54倍,这就说明本方法具有理论和实际意义.
In the past, the critical load of the truss structure was reduced to the eigenvalue of the total stiffness matrix of the truss, and the geometric stiffness matrix related to the axial force in the total stiffness matrix was always in a straight state from each member and was considered in the axial deformation. The influence of lateral displacement is derived; this will inevitably lead to no Euler’s buckling of the members when the overall instability occurs, which is unreasonable. The author believes that the truss instability may be caused by the local Euler’s buckling caused by the rod. This paper proposes a new method for calculating the critical load of truss, calculates some examples, and compares it with the previous general methods. Some of the difference between the calculated results is as high as 18.54 times, which shows that the method has theoretical and practical significance.