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首页> 外文期刊>International journal of mechanics and materials in design >Approximate cutting pattern optimization of frame-supported and pneumatic membrane structures
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Approximate cutting pattern optimization of frame-supported and pneumatic membrane structures

机译：框架支撑和气动膜结构的近似切割图案优化

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摘要

A simple iterative method is presented for cutting pattern optimization of frame-supported and pneumatic membrane structures for minimizing the variation of stresses from the target values. The plane cutting sheet is generated by minimizing the error from the shape obtained by reducing the target stress from the desired curved shape of surface. The equilibrium shape is obtained using an energy approach to minimize of total strain energy under forced deformation at the boundary nodes. The external work done by the pressure is also incorporated for analysis of pneumatic membrane structures. An approximate method is also proposed to derive a discretized form for analysis of an ethylene tetrafluoroethylene (ETFE) film, where elasto-plastic behavior under monotonic loading condition is modeled as a nonlinear elastic material under monotonic loading condition. The proposed method is applied to examples of a frame-supported polyvinyl chloride membrane structure and an air pressured square ETFE film.
机译：提出了一种简单的迭代方法，用于切割框架支撑和气动膜结构的图案优化，以使来自目标值的应力的变化最小化。通过通过从所需弯曲形状从所需弯曲形状获得的形状中最小化误差来产生平面切割片。使用能量方法获得平衡形状，以最小化边界节点在强制变形下的总应变能量。通过压力完成的外部工作也掺入了气动膜结构的分析。还提出了一种近似方法，用于衍生用于分析乙烯四氟乙烯（ETFE）膜的离散形式，其中单调负载条件下的弹性塑性行为被建模为单调负载条件下的非线性弹性材料。该方法应用于框架负载的聚氯乙烯膜结构的实例和空气压力方形ETFE膜。

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