2003-12-012024-05-18https://scholars.lib.ntu.edu.tw/handle/123456789/712782摘要：“慣質”（Inerter）是在2001年由英國劍橋大學所提出的一項新發明（世界專利ＰＣＴ／ＧＢ０２／０３０５６）。這項發明肇始於電子及機械系統的對應關係。如眾所逸知，機械及電子網路元件存在著二組對應的關係，亦即”力-電流”及”力-電壓”的對應，然而在這看似完美的對應關係中，卻存在一個瑕疵，亦即機械系統中的質量並不是一個完整的兩端點元件，其一端點永遠必須接&#22325;；換言之，其位置及速度皆是對地而量測（grounded）&#14082;而在電子網路中，其相應的元件（電容或電感）卻是一個完整的兩端點兗件，其兩端的電壓或電流皆不需對地而量測。這一個瑕疵的存在，一則使得電子網路系統不能被完整地對應到現有的機械網路，再&#21080;限制了被動式機械系統所能達到的性能。 “慣質”的發明，在學理上彌補了這項對應關係的瑕疵，使得電子及機械統成為一個完美的對應。而這在實際應用上，則可用來模擬質量（目前在劍橋大學的第一個模型約三公斤，然而在系統中卻相當於置入一個720公斤的質量），及作用系統減震。值得注意的是，慣質本身是一個被動式元件，亦即吾人可以在無須外加能量源的情形下增進系統的性能。慣質目前已<br> Abstract: Inerter was invented by University of Cambridge two years ago (International Patent: PCT/GB02/03056), motivated by the analogy of Mechanical and electrical networks. It is well known that there are two analogies between mechanical network elements (mass, damper and spring) and electrical network elements (capacitor, resister and inductor), namely the “force-current” and “force-voltage” analogies. However, there is a gap in these analogies in that the mass element in mechanical networks always has one terminal attached to the ground, i.e. the measurement of its position and velocity is always relative to the ground. But in electrical networks, it is not necessarily to ground one of the two terminals of inductors and capacitors. We only measure the relative current and voltage across their two terminals. Thus the electrical networks with ungrounded capacitors or inductors do not have a direct spring-mass-damper analogy, which potentially narrows the class of passive mechanical impedances which can be physically realized. The invention of Inerter is not only a theoretical breakthrough which makes the mechanical and electrical networks really analog to each other, but also has many potential practical applications. The first successful application of inerter is in vehicle suspension control, which allows up to 20% performance improvement. Other possible applications include simulated masses (the first photo-type of Inerter weights 3 kg itself, but behaves like a 720 kg mass inside the system) and system vibration control. It is noted that Inerter is a passive element, so that performance improvement is achievable without extra energy sources. In this project, we will discuss the Inerter concept and build an Inerter model, then design an experiment to verify its properties. Furthermore, we will also discuss the possible applications of Inerter to other systems.慣質機械網路電子網路懸吊汽車懸吊火車懸吊建築物防震避震設計InerterMechanical NetworkElectrical NetworkSuspensionVehicle SuspensionTrain SuspensionBuilding Anti-vibrationAnti-vibration Design