Nonlinear dynamic responses of porous FG sandwich cylindrical shells with a viscoelastic core resting on a nonlinear viscoelastic foundation

被引:19
作者
Foroutan, Kamran [1 ,2 ,3 ]
Dai, Liming [1 ,2 ,3 ]
机构
[1] Xiamen Univ Technol, Sino Canada Res Ctr Nonlinear Dynam & Noise Contr, Xiamen, Peoples R China
[2] Univ Regina, Regina, SK, Canada
[3] Univ Regina, Ind Syst Engn, Regina, SK, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Porous FG sandwich cylindrical shells; viscoelastic core; primary resonance; nonlinear viscoelastic foundation; multiple scales method; FREE-VIBRATION ANALYSIS; PRIMARY RESONANCE; INTERNAL RESONANCE; STABILITY; PLATES; REVOLUTION; WINKLER;
D O I
10.1080/15376494.2022.2070803
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The nonlinear vibration, including primary resonance (PR) of porous FG sandwich (PFGS) cylindrical shells with a viscoelastic core is investigated in this research. The structure considered is on a nonlinear viscoelastic foundation composing of two Pasternak and Winkler foundations augmented with a nonlinear cubic stiffness by Kelvin-Voigt viscoelastic model. Two types of PFGS cylindrical shells are considered and viscoelastic core is made of Kelvin-Voigt type material. Utilizing Donnell's shell theory, von-Karman equation and the Galerkin's method, a discretized governing equation is derived and verified. The multiple scales method is applied to investigate the nonlinear PR of the shells.
引用
收藏
页码:3184 / 3203
页数:20
相关论文
共 53 条
[2]   Nonlinear primary resonance of spiral stiffened functionally graded cylindrical shells with damping force using the method of multiple scales [J].
Ahmadi, Habib ;
Foroutan, Kamran .
THIN-WALLED STRUCTURES, 2019, 135 :33-44
[3]   On the accuracy of the multiple scales method for non-linear vibrations of doubly curved shallow shells [J].
Alijani, F. ;
Amabili, M. ;
Bakhtiari-Nejad, F. .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2011, 46 (01) :170-179
[4]   Effect of porosity on the bending and free vibration response of functionally graded plates resting on Winkler-Pasternak foundations [J].
Benferhat, Rabia ;
Daouadji, Tahar Hassaine ;
Mansour, Mohamed Said ;
Hadji, Lazreg .
EARTHQUAKES AND STRUCTURES, 2016, 10 (06) :1429-1449
[5]   Nonlinear vibrations of a circular cylindrical shell with multiple internal resonances under multi-harmonic excitation [J].
Breslavsky, Ivan D. ;
Amabili, Marco .
NONLINEAR DYNAMICS, 2018, 93 (01) :53-62
[6]  
Brush D.O., 1975, BUCKLING BARS PLATES
[7]   Nonlinear static and dynamic buckling analysis of imperfect eccentrically stiffened functionally graded circular cylindrical thin shells under axial compression [J].
Dao Huy Bich ;
Dao Van Dung ;
Vu Hoai Nam ;
Nguyen Thi Phuong .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2013, 74 :190-200
[8]   Nonlinear dynamic analysis of eccentrically stiffened functionally graded circular cylindrical thin shells under external pressure and surrounded by an elastic medium [J].
Dao Van Dung ;
Vu Hoai Nam .
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2014, 46 :42-53
[9]   Non linear vibrations of imperfect fluid-filled viscoelastic cylindrical shells [J].
del Prado, Zenon J. G. N. ;
Amabili, Marco ;
Goncalves, Paulo B. .
X INTERNATIONAL CONFERENCE ON STRUCTURAL DYNAMICS (EURODYN 2017), 2017, 199 :570-576
[10]   Nonlinear thermomechanical buckling of sandwich FGM oblique stiffened plates with nonlinear effect of elastic foundation [J].
Dong, Dang Thuy ;
Nam, Vu Hoai ;
Trung, Nguyen Thoi ;
Phuong, Nguyen Thi ;
Hung, Vu Tho .
JOURNAL OF THERMOPLASTIC COMPOSITE MATERIALS, 2022, 35 (10) :1441-1467