TY - JOUR
T1 - DSC regularized Dirac-delta method for dynamic analysis of FG graphene platelet-reinforced porous beams on elastic foundation under a moving load
AU - Zhang, L. H.
AU - Lai, S. K.
AU - Wang, C.
AU - Yang, J.
N1 - Funding Information:
The work described in this paper was supported by the Research Impact Fund (Project No. R-5020-18 ) from the Research Grants Council of the Hong Kong Special Administrative Region. In addition, the funding support from the Innovation and Technology Commission of the HKSAR Government to the Hong Kong Branch of National Rail Transit Electrification and Automation Engineering Technology Research Center (Grant Nos. K-BBY1 and 1-BBVQ ) is gratefully acknowledged. The first author (L.H. Zhang) also acknowledged the financial support of the Research Student Attachment Program offered from The Hong Kong Polytechnic University , and appreciated the kind hospitality provided from The RMIT University during his academic visit at that institution.
Funding Information:
The work described in this paper was supported by the Research Impact Fund (Project No. R-5020-18) from the Research Grants Council of the Hong Kong Special Administrative Region. In addition, the funding support from the Innovation and Technology Commission of the HKSAR Government to the Hong Kong Branch of National Rail Transit Electrification and Automation Engineering Technology Research Center (Grant Nos. K-BBY1 and 1-BBVQ) is gratefully acknowledged. The first author (L.H. Zhang) also acknowledged the financial support of the Research Student Attachment Program offered from The Hong Kong Polytechnic University, and appreciated the kind hospitality provided from The RMIT University during his academic visit at that institution.
Publisher Copyright:
© 2020 Elsevier Ltd
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2021/1/1
Y1 - 2021/1/1
N2 - This work presents a novel computational approach, the DSC regularized Dirac-delta method, for the vibration analysis of functionally graded graphene-platelet reinforced (FG-GPLR) porous beams resting on a Winkler–Pasternak elastic foundation under a moving load. Based on the Timoshenko beam theory, the energy functional of the beam model is represented by a newly constructed basis function and is minimized under the variational principle. To account for the properties of composite materials, the Halpin–Tsai model is used to predict the elastic modulus of graphene-reinforced composites. A coupling of the DSC regularized Dirac-delta method and the Newmark–β integration scheme is then adopted for solving the dynamic problem. The DSC-based approach exhibits controllable accuracy for approximations and shows excellent flexibility in handling time-dependent moving load problems, because the equally spaced grid system used in the DSC numerical approach can achieve a preferable representation of moving load sources. An intensive parametric study is provided with a particular focus on the influence of moving loads, foundation supports and material properties (e.g., weight fraction, porosity distribution, dispersion pattern and geometry size of graphene reinforcements). First-known solutions reported in tabular and graphical forms should be useful for researchers and engineers in designing such beam problems.
AB - This work presents a novel computational approach, the DSC regularized Dirac-delta method, for the vibration analysis of functionally graded graphene-platelet reinforced (FG-GPLR) porous beams resting on a Winkler–Pasternak elastic foundation under a moving load. Based on the Timoshenko beam theory, the energy functional of the beam model is represented by a newly constructed basis function and is minimized under the variational principle. To account for the properties of composite materials, the Halpin–Tsai model is used to predict the elastic modulus of graphene-reinforced composites. A coupling of the DSC regularized Dirac-delta method and the Newmark–β integration scheme is then adopted for solving the dynamic problem. The DSC-based approach exhibits controllable accuracy for approximations and shows excellent flexibility in handling time-dependent moving load problems, because the equally spaced grid system used in the DSC numerical approach can achieve a preferable representation of moving load sources. An intensive parametric study is provided with a particular focus on the influence of moving loads, foundation supports and material properties (e.g., weight fraction, porosity distribution, dispersion pattern and geometry size of graphene reinforcements). First-known solutions reported in tabular and graphical forms should be useful for researchers and engineers in designing such beam problems.
KW - DSC regularized Dirac-delta method
KW - Functionally graded porous beams
KW - Graphene-platelet reinforcement
KW - Moving loads
KW - Winkler–Pasternak foundation
UR - http://www.scopus.com/inward/record.url?scp=85091623513&partnerID=8YFLogxK
U2 - 10.1016/j.compstruct.2020.112865
DO - 10.1016/j.compstruct.2020.112865
M3 - Journal article
AN - SCOPUS:85091623513
SN - 0263-8223
VL - 255
JO - Composite Structures
JF - Composite Structures
M1 - 112865
ER -