The Network Synthesis of Passive Mechanical Systems Employing Inerters – LMI Approaches and Applications to Train Suspension Systems
Date Issued
2006
Date
2006
Author(s)
Liao, Bo-Huai
DOI
zh-TW
Abstract
This thesis first discusses the concepts of a newly-developed mechanical network element, called Inerter. This passive element was invented in 2001 from the imperfect analogy between mechanical and electrical networks. Due to the invention of inerter, we can apply electrical network synthesis theory to mechanical systems. Furthermore, we apply linear matrix inequalities (LMI) to the synthesis of passive suspensions for the optimization of certain performance measures for a one-wheel train model. The characterization of the passive constraint using matrix inequalities and the use of inerter permits the optimization over the entire class of passive admittances and the realization of the resulting admittance using passive elements. The optimization results are compared with previous optimization over fixed-structure admittances. It is shown from the results that the proposed method can potentially achieve better performance.
Subjects
慣質
電子網路系統
機械網路系統
被動式元件
火車
懸吊系統
網路實現
線性矩陣不等式
Inerter
electrical network
mechanical network
passive element
train
suspension system
network synthesis
linear matrix inequality
Type
thesis
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