论文部分内容阅读
对于动不定体系,在荷载作用下往往会经历含有大变位的机构运动,最终到达一个满足受荷不可动判别准则的构型。该文在小变形假设的基础上提出了一种基于体系协调矩阵奇异值分解的动不定体系求解思路,通过在一个计算步内体系的初始构型和临时构型分别建立协调方程,求得相应的预测位移和补偿位移,从而获得每步的真实位移值,实现运动路径的跟踪。经过若干计算步到达受荷不可动的构型后,再进行静力计算,以得到体系的最终平衡状态。算例表明,采用该文的方法,可以在避免迭代的前提下快速、准确地求得体系的最终受力状态。
In the case of a system of instability, the movement of a body with a large displacement often takes place under the action of a load and eventually reaches a configuration that satisfies the criterion of unmovable load. Based on the hypothesis of small deformation, this paper proposes a new method of solving the uncertain system based on the singular value decomposition of the system coordination matrix. By establishing the coordination equation between the initial configuration and the temporary configuration of a system, Of the predicted displacement and compensation displacement, so as to obtain the true displacement value of each step, to achieve the tracking of the movement path. After several calculation steps reach the unmovable load configuration, static calculation is performed again to obtain the final balance of the system. The example shows that the method of this paper can quickly and accurately calculate the ultimate stress state of the system without any iteration.