论文部分内容阅读
本文对由采用平截面假设的杆组成的任意形状的平面刚架的几何非线性静力分析,提出了一种新的有限元分析方法。这里,采用了位移分量带二阶导数的Hermite插值,并引入单元结点广义位移的变换矩阵,解决了单元间位移和内力的协调问题。文中分别考虑了结构在死载(dead loading)和随动载荷(follower loading)作用下发生大位移和大转角时的静力分析。由于采用了R~(n+1)载荷-位移空间中的弧长控制参数的预报修正解法,有效地克服了通常因采用载荷控制参数在临界点附近所遇到的困难。算例表明,本文所建议的方法具有精度高、适用性强等优点。
In this paper, a new finite element analysis method is proposed for the geometric nonlinear static analysis of an arbitrary-shape plane rigid frame consisting of rods with flat section assumptions. Here, the Hermite interpolation with the second derivative of the displacement component is adopted, and the transformation matrix of the generalized displacement of the unit node is introduced to solve the problem of coordination between the displacement and the internal force of the unit. In this paper, the static analysis of the structure under the action of dead loading and follower loading has been considered respectively. Due to the use of the Rn(n+1) load-displacement arc-length control parameter prediction correction method, the difficulties encountered in the vicinity of the critical point due to the use of load control parameters are effectively overcome. The example shows that the method proposed in this paper has the advantages of high precision and strong applicability.