author_facet He, Bin
Zhao, Chunyu
Wang, Haiyang
Chang, Xuede
Wen, Bangchun
He, Bin
Zhao, Chunyu
Wang, Haiyang
Chang, Xuede
Wen, Bangchun
author He, Bin
Zhao, Chunyu
Wang, Haiyang
Chang, Xuede
Wen, Bangchun
spellingShingle He, Bin
Zhao, Chunyu
Wang, Haiyang
Chang, Xuede
Wen, Bangchun
Advances in Mechanical Engineering
Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system
Mechanical Engineering
author_sort he, bin
spelling He, Bin Zhao, Chunyu Wang, Haiyang Chang, Xuede Wen, Bangchun 1687-8140 1687-8140 SAGE Publications Mechanical Engineering http://dx.doi.org/10.1177/1687814016659043 <jats:p> This article proposes a self-synchronous vibrating mechanism with four unbalanced rotors driven by four hydraulic motors mounted symmetrically on two coaxial rotating beams. Analytical expressions of the steady-state response for the multi-body vibrating system are deduced. The dimensionless coupling equations of the four unbalanced rotors are derived by virtue of the averaging method of modified small parameters. The synchronization and stability criteria are deduced using the existence and stability of the zero solution for the dimensionless coupling equations of the four unbalanced rotors. The coefficients of synchronization ability are defined. By numeric analysis, effect of the dynamic parameters on the characteristics of coupling dynamics for the unbalanced rotors is discussed to determine dynamic parameter intervals of synchronization stability. Computer simulations are carried out to verify the correctness of the theoretical analysis. </jats:p> Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system Advances in Mechanical Engineering
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title Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system
title_unstemmed Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system
title_full Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system
title_fullStr Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system
title_full_unstemmed Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system
title_short Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system
title_sort dynamics of synchronization for four hydraulic motors in a vibrating pile driver system
topic Mechanical Engineering
url http://dx.doi.org/10.1177/1687814016659043
publishDate 2016
physical 168781401665904
description <jats:p> This article proposes a self-synchronous vibrating mechanism with four unbalanced rotors driven by four hydraulic motors mounted symmetrically on two coaxial rotating beams. Analytical expressions of the steady-state response for the multi-body vibrating system are deduced. The dimensionless coupling equations of the four unbalanced rotors are derived by virtue of the averaging method of modified small parameters. The synchronization and stability criteria are deduced using the existence and stability of the zero solution for the dimensionless coupling equations of the four unbalanced rotors. The coefficients of synchronization ability are defined. By numeric analysis, effect of the dynamic parameters on the characteristics of coupling dynamics for the unbalanced rotors is discussed to determine dynamic parameter intervals of synchronization stability. Computer simulations are carried out to verify the correctness of the theoretical analysis. </jats:p>
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author He, Bin, Zhao, Chunyu, Wang, Haiyang, Chang, Xuede, Wen, Bangchun
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author_sort he, bin
container_issue 8
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container_title Advances in Mechanical Engineering
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description <jats:p> This article proposes a self-synchronous vibrating mechanism with four unbalanced rotors driven by four hydraulic motors mounted symmetrically on two coaxial rotating beams. Analytical expressions of the steady-state response for the multi-body vibrating system are deduced. The dimensionless coupling equations of the four unbalanced rotors are derived by virtue of the averaging method of modified small parameters. The synchronization and stability criteria are deduced using the existence and stability of the zero solution for the dimensionless coupling equations of the four unbalanced rotors. The coefficients of synchronization ability are defined. By numeric analysis, effect of the dynamic parameters on the characteristics of coupling dynamics for the unbalanced rotors is discussed to determine dynamic parameter intervals of synchronization stability. Computer simulations are carried out to verify the correctness of the theoretical analysis. </jats:p>
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spelling He, Bin Zhao, Chunyu Wang, Haiyang Chang, Xuede Wen, Bangchun 1687-8140 1687-8140 SAGE Publications Mechanical Engineering http://dx.doi.org/10.1177/1687814016659043 <jats:p> This article proposes a self-synchronous vibrating mechanism with four unbalanced rotors driven by four hydraulic motors mounted symmetrically on two coaxial rotating beams. Analytical expressions of the steady-state response for the multi-body vibrating system are deduced. The dimensionless coupling equations of the four unbalanced rotors are derived by virtue of the averaging method of modified small parameters. The synchronization and stability criteria are deduced using the existence and stability of the zero solution for the dimensionless coupling equations of the four unbalanced rotors. The coefficients of synchronization ability are defined. By numeric analysis, effect of the dynamic parameters on the characteristics of coupling dynamics for the unbalanced rotors is discussed to determine dynamic parameter intervals of synchronization stability. Computer simulations are carried out to verify the correctness of the theoretical analysis. </jats:p> Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system Advances in Mechanical Engineering
spellingShingle He, Bin, Zhao, Chunyu, Wang, Haiyang, Chang, Xuede, Wen, Bangchun, Advances in Mechanical Engineering, Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system, Mechanical Engineering
title Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system
title_full Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system
title_fullStr Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system
title_full_unstemmed Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system
title_short Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system
title_sort dynamics of synchronization for four hydraulic motors in a vibrating pile driver system
title_unstemmed Dynamics of synchronization for four hydraulic motors in a vibrating pile driver system
topic Mechanical Engineering
url http://dx.doi.org/10.1177/1687814016659043