EXTENDED FORCE DENSITY METHOD FOR FORM-FINDING OF TENSION STRUCTURES
EXTENDED FORCE DENSITY METHOD FOR FORM-FINDING OF TENSION STRUCTURES
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发表时间：
2010
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通讯作者：
M. Miki;K. Kawaguchi
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作者：
M. Miki;K. Kawaguchi
本研究的目的是提出力密度法 (FDM)[1] 的扩展，这是一种用于拉伸结构找形的前述数值方法。 FDM对于索网的找形具有很大的优势。然而，当它应用于由拉和压构件组合组成的预应力结构时，会出现一些困难。因此，FDM还有扩展的空间。在本文中，我们确定了FDM中存在变分原理，尽管原始FDM使用的数学形式与变分原理相关的数学形式不同。因此，澄清了可以认为由 FDM 选择的泛函，并且它使我们能够通过将各种泛函视为 FDM 的泛化来扩展 FDM。这些新引入的功能使我们能够找到由索、膜和受压构件组合而成的复杂张拉结构的形式，例如张拉整体和带有杆的悬挂膜等。
The objective of this study is to propose an extension of the force density method (FDM)[1], a foregoing numerical method for the form-finding of tension structures. FDM has a great advantage for the form-finding of cable-nets. However, some difficulties arise when it is applied to the pre-stressed structures that consist of a combination of both tension and compression members. Therefore, the FDM has scope for extension. In this paper, we identify the existence of a variational principle in the FDM, although, the mathematical forms used by original FDM are different from those related to the variational principle. Thus, a functional that can be thought to be selected by FDM is clarified and it enables us to extend the FDM by considering various functionals as a generalization of it. Such newly introduced functionals enable us to find the forms of complex tension structures that consist of a combination of cables, membranes, and compression members, such as tensegrities, and suspended membranes with bars, etc.