Synthesis of Vibration Waves Based on Wavelet Technology

A novel method to generate time series of vibration waves is proposed in the paper. Considering the frequency band energy as the criterion, synthesis formulas for fluctuating wind pressure and earthquake ground motion are developed in terms of Daubechies wavelet and Harr wavelet respectively. The wa...

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Main Authors: L.H. Zou, A.P. Liu, X. Ma, C. Zhang, K. Huang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-2010-0638
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author L.H. Zou
A.P. Liu
X. Ma
C. Zhang
K. Huang
author_facet L.H. Zou
A.P. Liu
X. Ma
C. Zhang
K. Huang
author_sort L.H. Zou
collection DOAJ
description A novel method to generate time series of vibration waves is proposed in the paper. Considering the frequency band energy as the criterion, synthesis formulas for fluctuating wind pressure and earthquake ground motion are developed in terms of Daubechies wavelet and Harr wavelet respectively. The wavelet reconstruction method is applicable to both stationary and non-stationary process simulation. Theoretically, for non-stationary (such as seismic) process synthesis, it has a better non-stationarity in time-frequency domain than the traditional trigonometric series. Influence of wavelet delamination number and wavelet function type is also analyzed. Numerical results show that the synthesis of vibration waves based on wavelet reconstruction method contains main components of vibration, and can reflect the main properties of practical vibrations.
format Article
id doaj-art-c9940379842a492da9fa3fdc976a2b16
institution Kabale University
issn 1070-9622
1875-9203
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-c9940379842a492da9fa3fdc976a2b162025-02-03T06:12:40ZengWileyShock and Vibration1070-96221875-92032012-01-0119339140310.3233/SAV-2010-0638Synthesis of Vibration Waves Based on Wavelet TechnologyL.H. Zou0A.P. Liu1X. Ma2C. Zhang3K. Huang4Department of Civil Engineering, Fuzhou University, Fuzhou, ChinaDepartment of Civil Engineering, Lanzhou Jiaotong University, Lanzhou, ChinaSchool of Natural and Built Environments, University of South Australia, Adelaide, AustraliaDepartment of civil and Environmental Engineering, University of Auckland Auckland, New ZealandDepartment of Civil Engineering, Fuzhou University, Fuzhou, ChinaA novel method to generate time series of vibration waves is proposed in the paper. Considering the frequency band energy as the criterion, synthesis formulas for fluctuating wind pressure and earthquake ground motion are developed in terms of Daubechies wavelet and Harr wavelet respectively. The wavelet reconstruction method is applicable to both stationary and non-stationary process simulation. Theoretically, for non-stationary (such as seismic) process synthesis, it has a better non-stationarity in time-frequency domain than the traditional trigonometric series. Influence of wavelet delamination number and wavelet function type is also analyzed. Numerical results show that the synthesis of vibration waves based on wavelet reconstruction method contains main components of vibration, and can reflect the main properties of practical vibrations.http://dx.doi.org/10.3233/SAV-2010-0638
spellingShingle L.H. Zou
A.P. Liu
X. Ma
C. Zhang
K. Huang
Synthesis of Vibration Waves Based on Wavelet Technology
Shock and Vibration
title Synthesis of Vibration Waves Based on Wavelet Technology
title_full Synthesis of Vibration Waves Based on Wavelet Technology
title_fullStr Synthesis of Vibration Waves Based on Wavelet Technology
title_full_unstemmed Synthesis of Vibration Waves Based on Wavelet Technology
title_short Synthesis of Vibration Waves Based on Wavelet Technology
title_sort synthesis of vibration waves based on wavelet technology
url http://dx.doi.org/10.3233/SAV-2010-0638
work_keys_str_mv AT lhzou synthesisofvibrationwavesbasedonwavelettechnology
AT apliu synthesisofvibrationwavesbasedonwavelettechnology
AT xma synthesisofvibrationwavesbasedonwavelettechnology
AT czhang synthesisofvibrationwavesbasedonwavelettechnology
AT khuang synthesisofvibrationwavesbasedonwavelettechnology