Proceedings of the 2010 American Control Conference 2010
DOI: 10.1109/acc.2010.5530633
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On the classification of series-parallel electrical and mechanical networks

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Cited by 4 publications
(4 citation statements)
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“…This innovation enhances the electromechanical analogy theory by introducing mechanical analogs to electrical capacitance, leading to the development of the 'inerter-spring-damper' (ISD) suspension system [13,14]. Research indicates that the ISD suspension exhibits superior vibration isolation [15][16][17]. Shen [18] employed a fractional-order electrical network to further enhance the vibration performance of ISD suspension.…”
Section: Introductionmentioning
confidence: 99%
“…This innovation enhances the electromechanical analogy theory by introducing mechanical analogs to electrical capacitance, leading to the development of the 'inerter-spring-damper' (ISD) suspension system [13,14]. Research indicates that the ISD suspension exhibits superior vibration isolation [15][16][17]. Shen [18] employed a fractional-order electrical network to further enhance the vibration performance of ISD suspension.…”
Section: Introductionmentioning
confidence: 99%
“…The performance of the gear rack inerter and ball screw inerter was tested, the results showed that the performance of the inerter was greatly affected by friction factors in a low-frequency band [12]. A classification process for finding effective branches of a mechanical network was described, and a design method for a passive mechanical network of ISD suspension was proposed [13,14]. Electromechanical similarity theory and mechanical network synthesis theory were used to determine the structure of ISD suspension.…”
Section: Introductionmentioning
confidence: 99%
“…An ISD vibration isolation system can comprise other more complex vibration isolation systems, so it is very meaningful to individually analyse an ISD vibration isolation system. Jiang and Smith conducted a series of studies on ISD vibration isolation systems and proposed a passive mechanical vibration network 12 and a design method with an inerter. 13,14 As research work in this area has progressed, applications of inerter in general engineering practice has become more extensive.…”
Section: Introductionmentioning
confidence: 99%
“…[24][25][26][27] Actually, an article 28 illustrated nonlinear inertance calculation method of ball-screw inerter, in which friction, nominal radius, lead, contact angle, ball radius and number of balls were considered. Inspired by some researches on nonlinear vibration isolator where used positive and negative stiffness, [29][30][31][32] compared to the previous methods used to calculate transmissibility, 12,[15][16][17][18][19] this reported study expressed the mass (M ¼ m þ b) as a complex mass (M* ¼ m þ bj) and re-established several dynamic equations for a vibration isolation system with ball-screw inerter to deduce transmissibility. The experimental results of this study showed that the transmissibility calculations in this study were closer to the experimental results than those previously reported, especially in a frequency band of 10 Hz.…”
Section: Introductionmentioning
confidence: 99%