Relationships between classical and shear deformation theories of axisymmetric circular plates

被引:17
作者
Reddy, JN [1 ]
Wang, CM [1 ]
机构
[1] NATL UNIV SINGAPORE,DEPT CIVIL ENGN,SINGAPORE 119260,SINGAPORE
关键词
D O I
10.2514/2.62
中图分类号
V [航空、航天];
学科分类号
08 ; 0825 ;
摘要
The exact relationships between the deflections, slopes/rotations, shear forces, and bending moments of a third-order theory and those of the classical theory and the first-order shear deformation theory for axisymmetric bending of isotropic circular plates are developed. The relationships enable one to obtain the solutions of the third-order theory from any known classical or first-order theory solutions of axisymmetric circular plates for any set of boundary conditions and transverse loads. The relationships may also be used to develop finite element models of axisymmetric bending of circular plates according to the first-order and third-order theories.
引用
收藏
页码:1862 / 1868
页数:7
相关论文
共 14 条
  • [1] Bickford W.B., 1982, DEV THEOR APPL MECH, V11, P137
  • [2] A HIGHER-ORDER BEAM FINITE-ELEMENT FOR BENDING AND VIBRATION PROBLEMS
    HEYLIGER, PR
    REDDY, JN
    [J]. JOURNAL OF SOUND AND VIBRATION, 1988, 126 (02) : 309 - 326
  • [3] A NEW RECTANGULAR BEAM THEORY
    LEVINSON, M
    [J]. JOURNAL OF SOUND AND VIBRATION, 1981, 74 (01) : 81 - 87
  • [4] Reddy JN, 1997, COMMUN NUMER METH EN, V13, P495, DOI 10.1002/(SICI)1099-0887(199706)13:6<495::AID-CNM82>3.0.CO
  • [5] 2-9
  • [6] A SIMPLE HIGHER-ORDER THEORY FOR LAMINATED COMPOSITE PLATES
    REDDY, JN
    [J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1984, 51 (04): : 745 - 752
  • [7] REDDY JN, 1984, ENERGY VARIATIONAL M, pCH4
  • [8] REDDY JN, 1993, INTRO FINITE ELEMENT, pCH4
  • [9] REDDY JN, 1997, MECH LAMINATED COMPO, pCH9
  • [10] REDDY JN, IN PRESS INT J SOLID