• 作者： 王寶璽
• 作者服務機構： 中原大學土木及水利工程學系
• 中文摘要： 雙曲?物面型網結構?大跨距屋項建築常見之一種結構物。本文藉非線性有限元素法分析此型網結構，目的在觀察其?態與動態特性。此型網結構受力變形後'結構勁度遞增。基於一特定之非線性?力平衡位置之近似線性振動所擁有之主要振態，（本例前25個低頻振態）均屬?向振態，此由於網索本身無抗彎剪勁度所造成。此型結構之動態線性解與 非線性解相去甚遠，欲得一經濟、安全之設計，只能藉非線性分析達成。
• 英文摘要： The static and dynamic characteristics of a selected orthogonal cable net having a hyperbolic paraboloid form are examined in detail in this presentation. The cable net system is considered as an assembly of discrete cable elements that are linked together at the intersections. The nonlinear system equations, the corresponding linearized system equations and equivalent difference equations for numerical calculations of the net system are presented. The initial configuration of the cable net is determined by the SIEV's method. This cable net shows a stiffness hardening system. Based on a nonlinear static equilibrium configuration, the natural frequencies and modes of the net are determined, in which the predominant vibration modes (the lowest 25 modes) exhibit vertical motions. The linearized and nonlinear dynamic responses are also determined by the modal superposition method and the PARK integration operator respectively. Based on the results obtained, it is concluded, that the cable net exhibits strong nonlinearity and that linearized analysis no longer achieves the realistic behaviour of the net. A more economical and safe design of a cable net can only be obtained through a nonlinear analysis.
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