摘要 本文主要將以向量式有限元素法建立符合被動結構控制元件動態行為的元素,並對結構物安裝此類元件後的動態反應進行探討。 在本研究中將以學者對於被動式控制元件的研究與探討為基礎,將其建立的數學或物理模式引入向量式有限元中,由於向量式有限元內力計算的特性,對於結構控制元件的模擬,能直接將其已知的力與位移關係代入計算,此過程能有效地將阻尼器之動態行為的計算簡化,本文中將提出一些比對算例,以驗證向量式有限元能有效模擬所建立之阻尼器的特性。此外,安裝被動控制元件的效果,除了阻尼器本身因素外,其配置方式也會造成其效果的不同,由於本研究主要是建立近似的虛擬物理模型來進行數值模擬,而非單純用數學模式來表現結構的行為,所以對於一些配置型式所造成的特殊現象,也將利用一數值算例進行討論與研究。
ABSTRACT The purposes of this study are to construct elements of passive structural control system by the vector form intrinsic finite element method (VFIFE) and discuss the dynamic responses of a structure arranged these elements. Since the inherent characters of VFIFE, the mathematical/physical models based on the previous studies about passive structural control system can be incorporated directly and the calculations of the passive structural control system can be simplified effectively. In this study, several numerical examples are purposed to verify that VFIFE is able to simulate the response of passive structural control system successfully. Moreover, not only elements of passive structural control system themselves but also the ways they are arranged affect the effect of passive structural control system. In numerical simulation, VFIFE will try to build a virtual structural model, not just presenting the dynamic behaviors through mathematical models, some special effects of the arrangement can be researched and discussed through numerical examples.