Torsional vibration and stability of functionally graded orthotropic cylindrical shells on elastic foundations

被引：79
|
作者：
Najafov, A. M. [1 ]
Sofiyev, A. H. [2 ]
Kuruoglu, N. [3 ]
机构：
[1] Tech Univ, Inst Machine Elements & Lifting & Shifting Machin, Baku, Azerbaijan
[2] Suleyman Demirel Univ, Dept Civil Engn, TR-32200 Isparta, Turkey
[3] Bahcesehir Univ, Dept Math & Comp Sci, Fac Arts & Sci, Istanbul, Turkey
来源：
MECCANICA | 2013年 / 48卷 / 04期
关键词：
FG orthotropic material; Cylindrical shell; Torsional stability; Torsional vibration; Elastic foundations; BUCKLING ANALYSIS; THICK; BEHAVIOR;
D O I：
10.1007/s11012-012-9636-0
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this study, the torsional vibration and stability problems of functionally graded (FG) orthotropic cylindrical shells in the elastic medium, using the Galerkin method was investigated. Pasternak model is used to describe the reaction of the elastic medium on the cylindrical shell. Mixed boundary conditions are considered. The material properties and density of the orthotropic cylindrical shell are assumed to vary exponentially in the thickness direction. The basic equations of the FG orthotropic cylindrical shell under the torsional load resting on the Pasternak-type elastic foundation are derived. The expressions for the critical torsional load and dimensionless torsional frequency parameter of the FG orthotropic cylindrical shell resting on elastic foundations are obtained. The effects of variations of shell parameters, the exponential factor characterizing the degree of material gradient, orthotropy, foundation stiffness and shear subgrade modulus of the foundation on the critical torsional load and dimensionless torsional frequency parameter are examined.
引用
收藏
页码：829 / 840
页数：12
相关论文
共 50 条
  • [1] Torsional vibration and stability of functionally graded orthotropic cylindrical shells on elastic foundations
    A. M. Najafov
    A. H. Sofiyev
    N. Kuruoglu
    Meccanica, 2013, 48 : 829 - 840
  • [2] Vibrations of functionally graded cylindrical shells based on elastic foundations
    Abdul Ghafar Shah
    Tahir Mahmood
    Muhammad N. Naeem
    Zafar Iqbal
    Shahid H. Arshad
    Acta Mechanica, 2010, 211 : 293 - 307
  • [3] Vibrations of functionally graded cylindrical shells based on elastic foundations
    Shah, Abdul Ghafar
    Mahmood, Tahir
    Naeem, Muhammad N.
    Iqbal, Zafar
    Arshad, Shahid H.
    ACTA MECHANICA, 2010, 211 (3-4) : 293 - 307
  • [4] Nonlinear free vibration of shear deformable orthotropic functionally graded cylindrical shells
    Sofiyev, A. H.
    COMPOSITE STRUCTURES, 2016, 142 : 35 - 44
  • [5] Vibration of functionally graded cylindrical shells
    Loy, CT
    Lam, KY
    Reddy, JN
    INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1999, 41 (03) : 309 - 324
  • [6] Thermal vibration, buckling and dynamic stability of functionally graded cylindrical shells embedded in an elastic medium
    Sheng, G. G.
    Wang, X.
    JOURNAL OF REINFORCED PLASTICS AND COMPOSITES, 2008, 27 (02) : 117 - 134
  • [7] Nonlinear vibration analysis of CNT-reinforced functionally graded composite cylindrical shells resting on elastic foundations
    Sun, Shupeng
    Guo, Chao
    Feng, Weiming
    Cao, Dengqing
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2022, 143
  • [8] Buckling and vibration of shear deformable functionally graded orthotropic cylindrical shells under external pressures
    Sofiyev, A. H.
    Kuruoglu, N.
    THIN-WALLED STRUCTURES, 2014, 78 : 121 - 130
  • [9] The stability of functionally graded cylindrical shells under linearly increasing dynamic torsional loading
    Sofiyev, AH
    Schnack, E
    ENGINEERING STRUCTURES, 2004, 26 (10) : 1321 - 1331
  • [10] The nonlinear vibration of orthotropic functionally graded cylindrical shells surrounded by an elastic foundation within first order shear deformation theory
    Sofiyev, A. H.
    Hui, D.
    Haciyev, V. C.
    Erdem, H.
    Yuan, G. Q.
    Schnack, E.
    Guldal, V.
    COMPOSITES PART B-ENGINEERING, 2017, 116 : 170 - 185
12345