框支充气膜结构optimization裁剪的近似方法
Approximate method for cutting pattern optimization of frame-supported and pneumatic membrane structures
摘要：
本文提出了一种计算效率高的框支充气膜结构裁剪方案近似优化方法。平面切割片是通过减小来自期望的弯曲形状的应力而获得的形状的误差最小化来生成的。通过求解总应变能最小化问题，得到了平衡形状。在分析气动薄膜时，还考虑了压力对薄膜所作的外功。本文还提出了一种分析ETFE薄膜的近似方法，其中弹塑性行为被建模为单调加载条件下的非线性弹性材料。通过框架支撑的聚氯乙烯（PVC）膜结构和气压方形ETFE膜的例子证明了所提出的方法的效率。
英文摘要：
A computationally efficient method is presented for approximate optimization of cutting pattern of frame-supported and pneumatic membrane structures. The plane cutting sheet is generated by minimizing the error from the shape obtained by reducing the stress from the desired curved shape. The equilibrium shape is obtained solving a minimization problem of total strain energy. The external work done by the pressure is also incorporated for analysis of pneumatic membrane. An approximate method is also proposed for analysis of an Ethylene TetraFluoroEthylene (ETFE) film, where elasto-plastic behavior is modeled as a nonlinear elastic material under monotonic loading condition. Efficiency of the proposed method is demonstrated through examples of a frame-supported PolyVinyl Chloride (PVC) membrane structure and an air pressured square ETFE film.
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