2004-08-012024-05-17https://scholars.lib.ntu.edu.tw/handle/123456789/693858摘要：本計畫之目的，是以一個新的機械網路元件–慣質 (Inerter)為基礎，來探討機械以及電子網路系統之等效性。如眾所周知，機械及電子系統存在著對應的關係。由這兩個系統的動態方程式著手，我們可以發現兩組對應的關係，亦即“力-電壓&#65282;與“力-電流”的對應；在這兩組的對應關係當中，機械系統與電子系統的元件彼此的對應。本計畫之目的，乃是以此對應關係為基礎，以系統的阻抗 (Impedance) 以及容度 (Admittance)的觀點，來探討機械以及電子網路系統之等效性；並進一步指出機械系統的質量與電子系統的”電感”或”電容” 並不是一對一的對應關係。本計畫並對一個國外新發明的機械元件–慣質 (Inerter), 做更進一步的探討。慣質的發明，是針對機械及電子網路系統對應關係中的質量/電容的不對稱性，所採取的一個解決方案；其發明不僅使得電子及機械網路系統成為完整的對稱關係，並且同時具有一些相當優良的特性，譬如說它可以使得傳統機械網路系統的性能得到改善，並且可以模擬一個巨大的質量。在計畫的開始，我們首先探討若干機械系統之等效電子網路，其等效性會經由系統的阻抗及容度來表示，並進一步計畫以實<br> Abstract: The aims of this proposal is to discuss the equivalence of mechanical and electrical network systems, and to further exploit the newly-invented mechanical network element, Inerter. It is well known that the mechanical and electrical networks are analog to each other, namely the “force-voltage” and “force-current” analogies. However, there is a long-lasting gap in these analogies due to the mass element in mechanical systems. The invention of Inerter bridges this gap, and makes the mechanical and electrical networks truly analog. Meanwhile, Inerter is shown to be a very useful mechanical element in that it can significantly improve the system performance, and simulate a heavy mass inside systems. With the real analogy between mechanical and electrical networks, this project first considers several mechanical systems and their equivalent electrical networks. We will discuss their equivalence by the systems’ impedance and admittance, and verify the results by experiments. We will also apply the Inerter to vehicle and train suspension system designs, and the anti-vibration design of buildings to show the benefits of Inerter over traditional mechanical elements.慣質機械網路系統電子網路系統阻抗容度InerterMechanical NetworkElectrical NetworkImpedanceAdmittance