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Author:

Shao, Dong (Shao, Dong.) | Wang, Qingshan (Wang, Qingshan.) | Tao, Yongqiang (Tao, Yongqiang.) | Shao, Wen (Shao, Wen.) | Wu, Wei (Wu, Wei.)

Indexed by:

EI Scopus SCIE

Abstract:

A unified procedure is proposed in this study to analyze the free and transient vibration behaviors of a composite laminated beam subjected to general boundary conditions under thermal scenario. A general theoretical quasi 3D shear deformation beam model incorporating both the shear deformation and thickness stretching effects is derived using the Hamilton's principle. The coupling of axial-shear-flexural-stretching with the thermal stress and the Poisson's ratio effect is taken into account. The natural frequencies, mode shapes and transient responses of composite laminated beams are evaluated analytically by the method of reverberation ray matrix (MRRM). The inhomogeneous term and the artificial spring boundary technique are introduced in MRRM to acclimatize itself to the general boundary conditions and the impulse loads of arbitrary distributions. The validity, reliability and efficiency of the proposed analytical solutions are verified by comparing with the results obtained from the published studies and finite element simulation. A considerable number of parametrical studies for the composite laminated beams with different elastic restraint parameters, lamination schemes, geometry parameters, material properties as well as various temperature rises are also analyzed and discussed. The present procedure is powerful in terms of its applicability for different high-order shape functions including polynomial and non-polynomial, as well as thin and thick beams subjected to arbitrary boundary conditions in practical engineering. A unified procedure is proposed in this study to analyze the free and transient vibration behaviors of a composite laminated beam subjected to general boundary conditions under thermal scenario. A general theoretical quasi 3D shear deformation beam model incorporating both the shear deformation and thickness stretching effects is derived using the Hamilton's principle. The coupling of axial-shear-flexural-stretching with the thermal stress and the Poisson's ratio effect is taken into account. The natural frequencies, mode shapes and transient responses of composite laminated beams are evaluated analytically by the method of reverberation ray matrix (MRRM). The inhomogeneous term and the artificial spring boundary technique are introduced in MRRM to acclimatize itself to the general boundary conditions and the impulse loads of arbitrary distributions. The validity, reliability and efficiency of the proposed analytical solutions are verified by comparing with the results obtained from the published studies and finite element simulation. A considerable number of parametrical studies for the composite laminated beams with different elastic restraint parameters, lamination schemes, geometry parameters, material properties as well as various temperature rises are also analyzed and discussed. The present procedure is powerful in terms of its applicability for different high-order shape functions including polynomial and non-polynomial, as well as thin and thick beams subjected to arbitrary boundary conditions in practical engineering.

Keyword:

Quasi-3D shear deformation beam theory The method of reverberation ray matrix Thermal environment Free and transient vibrations General boundary conditions

Author Community:

  • [ 1 ] [Shao, Dong]Beijing Univ Technol, Fac Mat & Mfg, Coll Mech Engn & Appl Elect Technol, Beijing 100124, Peoples R China
  • [ 2 ] [Shao, Dong]Naval Res Acad, Beijing 100161, Peoples R China
  • [ 3 ] [Wang, Qingshan]Cent South Univ, State Key Lab High Performance Complex Mfg, Changsha 410083, Peoples R China
  • [ 4 ] [Shao, Wen]Cent South Univ, State Key Lab High Performance Complex Mfg, Changsha 410083, Peoples R China
  • [ 5 ] [Tao, Yongqiang]China Aerosp Sci & Ind Corp, Beijing Aerosp Technol Inst, Beijing 100074, Peoples R China
  • [ 6 ] [Wu, Wei]China Aerosp Sci & Ind Corp, Beijing Aerosp Technol Inst, Beijing 100074, Peoples R China

Reprint Author's Address:

  • [Wang, Qingshan]Cent South Univ, State Key Lab High Performance Complex Mfg, Changsha 410083, Peoples R China

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Source :

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

ISSN: 0020-7403

Year: 2021

Volume: 198

7 . 3 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:87

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 29

SCOPUS Cited Count: 35

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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