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A unified solution for the vibration analysis of functionally graded porous (FGP) shallow shells with general boundary conditions
Zhao,Jing1,2; Xie,Fei3; Wang,Ailun3; Shuai,Cijun3; Tang,Jinyuan3; Wang,Qingshan3
2019
Source PublicationComposites Part B: Engineering
ISSN1359-8368
Volume156Pages:406-424
AbstractThe main purpose of this paper is to illustrate the vibration characteristics of functionally graded porous (FGP) shallow shells with general boundary conditions for the first time. The general boundary condition of FGP shallow shells is realized by the virtual spring technique. The imposing procedures of the boundary conditions are simplified so that a certain kind of restraints can be easily achieved by merely setting different stiffness of the springs. It is assumed that the distributions of porosity are uniform or non-uniformly along a certain direction and three types of the porosity distribution are considered, among which material property of two non-uniform porous distributions are expressed as the simple cosine. The size of the pore in a shallow shell is determined by the porosity coefficients. Based on the first-order shear deformation theory (FSDT), all kinetic energy and potential energy of FGP shallow shells are expressed by displacement admissible function. On this basis, the author describes the displacement admissible function of the FGP shallow shells by using the modified Fourier series which increases the auxiliary function, so that the auxiliary function can be used to eliminate the discontinuity or jumping of the traditional Fourier series at the edges. Lastly, the natural frequencies as well as the associated mode shapes of FGP shallow shells are achieved by replacing the modified Fourier series into the above energy expression and using the variational operation for unknown expansion coefficients. Several numerical examples are carried out to demonstrate the validity and accuracy of the present solution by comparing with the results obtained by other researchers. In addition, a series of innovative results are also highlighted in the text, which may provide basic data for other algorithm research in the future.
KeywordFunctionally graded porous General boundary conditions Shallow shells Vibration analysis
DOI10.1016/j.compositesb.2018.08.115
URLView the original
Language英语
Scopus ID2-s2.0-85053043930
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Cited Times [WOS]:34   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorWang,Qingshan
Affiliation1.School of Electromechanical Engineering,Guangdong University of Technology,Guangzhou,550006,China
2.Department of Electromechanical Engineering,University of Macau,Macau SAR,Macau,999078,Macao
3.State Key Laboratory of High Performance Complex Manufacturing,Central South University,Changsha,410083,China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Zhao,Jing,Xie,Fei,Wang,Ailun,et al. A unified solution for the vibration analysis of functionally graded porous (FGP) shallow shells with general boundary conditions[J]. Composites Part B: Engineering,2019,156:406-424.
APA Zhao,Jing,Xie,Fei,Wang,Ailun,Shuai,Cijun,Tang,Jinyuan,&Wang,Qingshan.(2019).A unified solution for the vibration analysis of functionally graded porous (FGP) shallow shells with general boundary conditions.Composites Part B: Engineering,156,406-424.
MLA Zhao,Jing,et al."A unified solution for the vibration analysis of functionally graded porous (FGP) shallow shells with general boundary conditions".Composites Part B: Engineering 156(2019):406-424.
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