Vibration Power Flow and Transfer Path Analysis of Two-Dimensional Truss Structure by Impedance Synthesis Method

The violent vibration of truss structures may cause fatigue, faults, or even an accident. Aiming to analyze the vibration power flow and transfer path of two-dimensional truss structures in the mid and high-frequency domain, this paper proposed a fast dynamic calculation method—the impedance synthes...

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Main Authors: Hong-Zhen Zhu, Jiang-Hai Wu, Yu-Dong Sun
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/17/8863
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author Hong-Zhen Zhu
Jiang-Hai Wu
Yu-Dong Sun
author_facet Hong-Zhen Zhu
Jiang-Hai Wu
Yu-Dong Sun
author_sort Hong-Zhen Zhu
collection DOAJ
description The violent vibration of truss structures may cause fatigue, faults, or even an accident. Aiming to analyze the vibration power flow and transfer path of two-dimensional truss structures in the mid and high-frequency domain, this paper proposed a fast dynamic calculation method—the impedance synthesis method (ISM)—which is based on an analytical equation with litter elements. Firstly, the global coordination vibration impedance of a Timoshenko beam truss is derived; Secondly, a dynamic model of a two-dimensional truss structure is built up with a single truss beam by force balance and geometric continuity; then, real and imaginary parts of dynamic responses and force in simple and periodically truss structures are verified by compared with FEM results, respectively; finally, the transfer path analysis (TPA) method is applied to separate the contribution of different transfer paths of power flow in periodical truss structures. The results show that the TPA method can easily find the line spectrum frequency of power flow, which should be considered in vibration control. This method can also be expanded to three-dimensional, honeycomb, and other truss beam structures.
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spelling doaj.art-f712473345ae40a3b99975e10f95b4482023-11-23T12:48:12ZengMDPI AGApplied Sciences2076-34172022-09-011217886310.3390/app12178863Vibration Power Flow and Transfer Path Analysis of Two-Dimensional Truss Structure by Impedance Synthesis MethodHong-Zhen Zhu0Jiang-Hai Wu1Yu-Dong Sun2Faculty of Science, Department of Physics, Wuxi University, Wuxi 214045, ChinaNational Key Laboratory on Ship Vibration and Noise, China Ship Scientific Research Center, Wuxi 214082, ChinaNational Key Laboratory on Ship Vibration and Noise, China Ship Scientific Research Center, Wuxi 214082, ChinaThe violent vibration of truss structures may cause fatigue, faults, or even an accident. Aiming to analyze the vibration power flow and transfer path of two-dimensional truss structures in the mid and high-frequency domain, this paper proposed a fast dynamic calculation method—the impedance synthesis method (ISM)—which is based on an analytical equation with litter elements. Firstly, the global coordination vibration impedance of a Timoshenko beam truss is derived; Secondly, a dynamic model of a two-dimensional truss structure is built up with a single truss beam by force balance and geometric continuity; then, real and imaginary parts of dynamic responses and force in simple and periodically truss structures are verified by compared with FEM results, respectively; finally, the transfer path analysis (TPA) method is applied to separate the contribution of different transfer paths of power flow in periodical truss structures. The results show that the TPA method can easily find the line spectrum frequency of power flow, which should be considered in vibration control. This method can also be expanded to three-dimensional, honeycomb, and other truss beam structures.https://www.mdpi.com/2076-3417/12/17/8863truss structurepower flowtransfer path analysisimpedance synthesis methodvibration transmission
spellingShingle Hong-Zhen Zhu
Jiang-Hai Wu
Yu-Dong Sun
Vibration Power Flow and Transfer Path Analysis of Two-Dimensional Truss Structure by Impedance Synthesis Method
Applied Sciences
truss structure
power flow
transfer path analysis
impedance synthesis method
vibration transmission
title Vibration Power Flow and Transfer Path Analysis of Two-Dimensional Truss Structure by Impedance Synthesis Method
title_full Vibration Power Flow and Transfer Path Analysis of Two-Dimensional Truss Structure by Impedance Synthesis Method
title_fullStr Vibration Power Flow and Transfer Path Analysis of Two-Dimensional Truss Structure by Impedance Synthesis Method
title_full_unstemmed Vibration Power Flow and Transfer Path Analysis of Two-Dimensional Truss Structure by Impedance Synthesis Method
title_short Vibration Power Flow and Transfer Path Analysis of Two-Dimensional Truss Structure by Impedance Synthesis Method
title_sort vibration power flow and transfer path analysis of two dimensional truss structure by impedance synthesis method
topic truss structure
power flow
transfer path analysis
impedance synthesis method
vibration transmission
url https://www.mdpi.com/2076-3417/12/17/8863
work_keys_str_mv AT hongzhenzhu vibrationpowerflowandtransferpathanalysisoftwodimensionaltrussstructurebyimpedancesynthesismethod
AT jianghaiwu vibrationpowerflowandtransferpathanalysisoftwodimensionaltrussstructurebyimpedancesynthesismethod
AT yudongsun vibrationpowerflowandtransferpathanalysisoftwodimensionaltrussstructurebyimpedancesynthesismethod