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Negative Gaussian Curvature Cable Dome and Its Feasible Prestress Design

机译:负高斯曲率电缆穹顶及其可行的预应力设计

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摘要

This paper proposes a negative Gaussian curvature cable dome and examines its feasibility. First, the paper studies its configuration and demonstrates that it satisfies the original definition of the cable dome in geometric concept. Second, the paper studies the feasible prestress of this new form of cable dome and provides a Newton iteration method and a simple displacement superposition to update prestress and geometry, respectively. Next, the paper builds an illustrative numerical model and determines its feasible prestress after changing its geometry using the proposed method. Last, its static advantage is compared with the corresponding Geiger dome and cable net structure, and its modal properties are analyzed. The results indicate that this new form is feasible not only in geometric concept but also in mechanical concept, and the method proposed in the paper is efficient and accurate for the design of feasible prestress for this new form. The negative Gaussian curvature cable dome has better rigidity than the corresponding cable net structure and better stability than the Geiger dome. (C) 2015 American Society of Civil Engineers.
机译:本文提出了一个负高斯曲率电缆穹顶并检验了其可行性。首先,本文研究了它的配置,并证明它满足了电缆穹顶在几何概念上的原始定义。其次,本文研究了这种新形式的缆索穹顶的可行预应力,并提供了牛顿迭代法和简单的位移叠加来分别更新预应力和几何形状。接下来,本文构建了一个说明性的数值模型,并在使用所提出的方法更改其几何形状之后确定了其可行的预应力。最后,将其静态优势与相应的盖革穹顶和索网结构进行比较,并分析其模态性质。结果表明,这种新形式不仅在几何概念上而且在机械概念上都是可行的,并且本文提出的方法对于设计这种新形式的可行预应力是有效而准确的。负高斯曲率电缆穹顶比相应的电缆网结构具有更好的刚性,并且比盖革穹顶具有更好的稳定性。 (C)2015年美国土木工程师学会。

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