A three-dimensional solution for free vibration of FGP-GPLRC cylindrical shells resting on elastic foundations: a comparative and parametric study

被引：63

作者：

Qin, Bin ^{[1
,2
,3
]}

Wang, Qingshan ^{[4
]}

Zhong, Rui ^{[4
]}

Zhao, Xing ^{[4
]}

Shuai, Cijun ^{[5
]}

机构：

[1] Cent South Univ, Sch Traff & Transportat Engn, Key Lab Traff Safety Track, Minist Educ, Changsha 410075, Peoples R China

[2] Cent South Univ, Joint Int Res Lab, Key Technol Rail Traff Safety, Changsha 410075, Peoples R China

[3] Cent South Univ, Natl & Local Joint Engn Res Ctr Safety Technol Ra, Changsha 410075, Peoples R China

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

[5] Jiangxi Univ Sci & Technol, Inst Bioaddit Mfg, Nanchang 330013, Jiangxi, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 2020年 / 187卷

基金：

中国国家自然科学基金; 国家重点研发计划;

关键词：

Functionally graded porous graphene platelet reinforced composite; Thick cylindrical shell; Elastic foundation; Unified solution; Arbitrary boundary conditions; CHARACTERISTIC ORTHOGONAL POLYNOMIALS; NONLINEAR VIBRATION; BEAMS; PLATES; STABILITY; MODEL;

D O I：

10.1016/j.ijmecsci.2020.105896

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper presents a unified solution for free vibration analysis of thick functionally graded porous graphene platelet reinforced composite (FGP-GPLRC) cylindrical shells embedded in elastic foundations. The three-dimensional (3-D) theory of shell theory is introduced for theoretical formulation. The Rayleigh-Ritz method in conjugation with artificial spring technique are employed, where the arbitrary boundary conditions can be conveniently obtained. A unified solution which comprises of six different displacement functions is developed. The calculation performances including convergence rate and calculating efficiency with respect to different displacement functions are compared extensively. Besides, three elastic foundations (Winkler/ Pasternak/ Kerr foundations), four types of porosity distributions and three categories of GPL patterns are considered. Some benchmark results are provided for free vibration of FGP-GPLRC cylindrical shells resting on elastic foundations. M last, the effects of different boundary conditions, elastic foundations with various parameters, porosity coefficient, GPL weight fraction and geometrical parameters on the vibration are elucidated.

引用

页数：17

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