Effect of Method Type on the Response of Continuum Vibro-Impact

The force integration method (FIM) and the methods based on the mode transfer principle are the frequently used choices for solving the vibro-impact problem of continuum. Notably, there are different solving options such as numerical and semianalytical procedures. In this paper, a new modeling metho...

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Main Authors: Hongtao Wei, Gang Li, Pan Guo, Jun Zhao
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2019/2718502
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author Hongtao Wei
Gang Li
Pan Guo
Jun Zhao
author_facet Hongtao Wei
Gang Li
Pan Guo
Jun Zhao
author_sort Hongtao Wei
collection DOAJ
description The force integration method (FIM) and the methods based on the mode transfer principle are the frequently used choices for solving the vibro-impact problem of continuum. Notably, there are different solving options such as numerical and semianalytical procedures. In this paper, a new modeling method based on the mode transfer principle, called the relative mode transfer method (RMTM), is proposed, and its semianalytical solution is obtained. A typical vibro-impact problem of continuum beam is studied. The time-history response under periodic excitation is obtained using the FIM, mode transfer method (MTM) through numerical procedure, and the RMTM through numerical procedure and semianalytical procedure. The effects of the method on the system steady-state response, amplitude-frequency response, and sticking motion are discussed. The impact type is divided into “hard impact” and “soft impact” when obtaining the results.
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institution Kabale University
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language English
publishDate 2019-01-01
publisher Wiley
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series Shock and Vibration
spelling doaj-art-5dd05f57d4d44f90812a695b8b63cb6d2025-02-03T07:26:05ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/27185022718502Effect of Method Type on the Response of Continuum Vibro-ImpactHongtao Wei0Gang Li1Pan Guo2Jun Zhao3School of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou 450001, ChinaZhengzhou New Dafang Heavy Industry Science and Technology Co., Ltd., Zhengzhou 450001, ChinaSchool of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou 450001, ChinaThe force integration method (FIM) and the methods based on the mode transfer principle are the frequently used choices for solving the vibro-impact problem of continuum. Notably, there are different solving options such as numerical and semianalytical procedures. In this paper, a new modeling method based on the mode transfer principle, called the relative mode transfer method (RMTM), is proposed, and its semianalytical solution is obtained. A typical vibro-impact problem of continuum beam is studied. The time-history response under periodic excitation is obtained using the FIM, mode transfer method (MTM) through numerical procedure, and the RMTM through numerical procedure and semianalytical procedure. The effects of the method on the system steady-state response, amplitude-frequency response, and sticking motion are discussed. The impact type is divided into “hard impact” and “soft impact” when obtaining the results.http://dx.doi.org/10.1155/2019/2718502
spellingShingle Hongtao Wei
Gang Li
Pan Guo
Jun Zhao
Effect of Method Type on the Response of Continuum Vibro-Impact
Shock and Vibration
title Effect of Method Type on the Response of Continuum Vibro-Impact
title_full Effect of Method Type on the Response of Continuum Vibro-Impact
title_fullStr Effect of Method Type on the Response of Continuum Vibro-Impact
title_full_unstemmed Effect of Method Type on the Response of Continuum Vibro-Impact
title_short Effect of Method Type on the Response of Continuum Vibro-Impact
title_sort effect of method type on the response of continuum vibro impact
url http://dx.doi.org/10.1155/2019/2718502
work_keys_str_mv AT hongtaowei effectofmethodtypeontheresponseofcontinuumvibroimpact
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AT panguo effectofmethodtypeontheresponseofcontinuumvibroimpact
AT junzhao effectofmethodtypeontheresponseofcontinuumvibroimpact