Power Flow in a Two-Stage Nonlinear Vibration Isolation System with High-Static-Low-Dynamic Stiffness

The manuscript concerns the power flow characterization in a two-stage nonlinear vibration isolator comprising three springs, which are configured so that each stage of the system has a high-static-low-dynamic stiffness. To demonstrate the distinction of evaluation for vibration isolation using powe...

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Main Authors: Ze-Qi Lu, Dong Shao, Hu Ding, Li-Qun Chen
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2018/1697639
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author Ze-Qi Lu
Dong Shao
Hu Ding
Li-Qun Chen
author_facet Ze-Qi Lu
Dong Shao
Hu Ding
Li-Qun Chen
author_sort Ze-Qi Lu
collection DOAJ
description The manuscript concerns the power flow characterization in a two-stage nonlinear vibration isolator comprising three springs, which are configured so that each stage of the system has a high-static-low-dynamic stiffness. To demonstrate the distinction of evaluation for vibration isolation using power flow, force transmissibility is used for comparison. The dynamic behavior of the isolator subject to harmonic excitation, however, is of interest here. The harmonic balance method (HBM) could be used to analyze the frequency response curve (FRC) of the strong nonlinear vibration system. A suggested stability analysis to distinguish the stable and the unstable HBM solutions is described. Increasing both upper and lower nonlinear stiffness could bend the first resonant peak to the left. The isolation range in the power and the force transmissibility plot could be extended to the lower frequencies when the nonlinear stiffness is increased, but the rate of roll-off for the power transmissibility is twice the rate for the force transmissibility at each horizontal stiffness setting. An explanation for this phenomenon is given in the paper.
format Article
id doaj-art-2077e87a498844ee895b8c00a9e51881
institution Kabale University
issn 1070-9622
1875-9203
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-2077e87a498844ee895b8c00a9e518812025-02-03T01:02:14ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/16976391697639Power Flow in a Two-Stage Nonlinear Vibration Isolation System with High-Static-Low-Dynamic StiffnessZe-Qi Lu0Dong Shao1Hu Ding2Li-Qun Chen3Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, ChinaShanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, ChinaShanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, ChinaShanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, ChinaThe manuscript concerns the power flow characterization in a two-stage nonlinear vibration isolator comprising three springs, which are configured so that each stage of the system has a high-static-low-dynamic stiffness. To demonstrate the distinction of evaluation for vibration isolation using power flow, force transmissibility is used for comparison. The dynamic behavior of the isolator subject to harmonic excitation, however, is of interest here. The harmonic balance method (HBM) could be used to analyze the frequency response curve (FRC) of the strong nonlinear vibration system. A suggested stability analysis to distinguish the stable and the unstable HBM solutions is described. Increasing both upper and lower nonlinear stiffness could bend the first resonant peak to the left. The isolation range in the power and the force transmissibility plot could be extended to the lower frequencies when the nonlinear stiffness is increased, but the rate of roll-off for the power transmissibility is twice the rate for the force transmissibility at each horizontal stiffness setting. An explanation for this phenomenon is given in the paper.http://dx.doi.org/10.1155/2018/1697639
spellingShingle Ze-Qi Lu
Dong Shao
Hu Ding
Li-Qun Chen
Power Flow in a Two-Stage Nonlinear Vibration Isolation System with High-Static-Low-Dynamic Stiffness
Shock and Vibration
title Power Flow in a Two-Stage Nonlinear Vibration Isolation System with High-Static-Low-Dynamic Stiffness
title_full Power Flow in a Two-Stage Nonlinear Vibration Isolation System with High-Static-Low-Dynamic Stiffness
title_fullStr Power Flow in a Two-Stage Nonlinear Vibration Isolation System with High-Static-Low-Dynamic Stiffness
title_full_unstemmed Power Flow in a Two-Stage Nonlinear Vibration Isolation System with High-Static-Low-Dynamic Stiffness
title_short Power Flow in a Two-Stage Nonlinear Vibration Isolation System with High-Static-Low-Dynamic Stiffness
title_sort power flow in a two stage nonlinear vibration isolation system with high static low dynamic stiffness
url http://dx.doi.org/10.1155/2018/1697639
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