基于惯性理论的膜结构充气过程计算机仿真

Simulation of Inflating Process of Membrane Structures with the Inertia Theory

运用杆件惯性的概念对充气膜结构的充气过程进行模拟.考虑到充气膜结构的截面特征,将膜截面简化为由有限个杆单元铰接而成的机构模型.为了确定机构模型的所有结点的运动情况,将每根杆的两端未知力作为总动力方程的未知量,利用动力学中杆单元的运动规律并结合整个机构的运动协调条件,得到简化机构模型的总的动力方程,求解此矩阵方程从而获得各个结点的位置和模型的实时运动状态,进而可以实现对充气膜结构的整个充气过程的计算机仿真.

The inflating process of air-supported membrane structure is simulated with the pole inertia conception. Considering the section feature of air-inflated membrane structure, the membrane section is partitioned into finite elements and is predigested to a mechanical model which is formed of finite poles jointed by hinges. In order to acquire the real-time state of every node on the model, forces on the ends of pole are regarded as unknown quantities of general dynamical equation. Using the dynamical laws of pole unit in dynamics and corresponding conditions, the general dynamical equation of the mechanical model can be founded. Then by solving the founded matrix equation, nodes＇ positions and the real-time moving states of model are all obtained. Therefore, the simulation of entire process in which air-supported membrane structure is inflating, can be achieved in this way.