Effect of foundation nonlinearity on the nonlinear transient response of orthotropic shallow spherical shells

Jain, Rakesh K.; Nath, Y.

doi:10.1007/bf00542480

Cited by 14 publications

(3 citation statements)

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“…The system of equations (12)-- (14) are to be solved in conjunction with initial conditions (18) and boundary conditions (21) in the present work.…”

Section: Aij -El H ' Elh 3 ' Elhmentioning

confidence: 99%

“…Recently, by using Fourier-Bessel series, a solution for the postbuckling behaviour of symmetrical-laminated thick spherical cap was obtained by Xu [9]. Other contributions in this area are from Whitney and Sun [10], Alwar and Reddy [11], Ganapathi and Varadan [12], Nath and Jain [13,14], Stein [15] and Librescu [16], Singh et al [17], Archer and Das [18], Dumir et al [19], Chia [20,21] and Sathyamoorthy [22]. However, most of the existing solutions are restricted to simple boundary conditions and to neglecting the effects of transverse shear deformation.…”

Section: Introductionmentioning

confidence: 99%

“…For every time iterative step J, all the nonlinear items in the equations (12)-(14) and boundary conditions(21) are linearized:…”

mentioning

confidence: 99%

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Nonlinear static and dynamic analysis for laminated, annular, spherical caps of moderate thickness

Cheung

1995

Nonlinear Dyn

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Based on Timoshenko--Mindlin kinematic hypothesis, the shallow shell theory is extended to include the transverse shear deformation for the nonlinear axisymmetric dynamic analysis of the symmetric cross-ply shallow spherical shell. Using the orthogonal point collocation method and the Newmark scheme, an iterative solution is formulated. The numerical results for the nonlinear static and dynamic responses and dynamic buckling of these shallow spherical shells with circular holes under uniformly distributed static or dynamic normal impact loads are presented and compared with available data.

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“…The system of equations (12)-- (14) are to be solved in conjunction with initial conditions (18) and boundary conditions (21) in the present work.…”

Section: Aij -El H ' Elh 3 ' Elhmentioning

confidence: 99%