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Nonlinear vibration and dynamic response of simply supported shear deformable laminated plates on elastic foundations
AbstractNonlinear vibration and dynamic response are presented for a simply supported, shear deformable laminated plate subjected to a transverse dynamic load combined with initial in-plan static loads and resting on a two-parameter (Pasternak-type) elastic foundation. The formulations are based on Reddy’s higher order shear deformation plate theory and general von Kármán-type equation, which includes the plate-foundation interaction. Two cases of the in-plane boundary conditions are considered. The equations of motion are solved by means of a perturbation technique to determine nonlinear frequencies and dynamic responses of symmetric cross-ply and antisymmetric angle-ply shear deformable laminated plates. The effects of amplitude ratio, foundation stiffness and initial in-plane loads on frequency ratios and dynamic responses are also studied. The results show that the foundation stiffness and initial in-plane loads have a significant effect on the nonlinear to linear frequency ratios as well as dynamic response of shear deformable laminated plates.
Nonlinear vibration and dynamic response of simply supported shear deformable laminated plates on elastic foundations
AbstractNonlinear vibration and dynamic response are presented for a simply supported, shear deformable laminated plate subjected to a transverse dynamic load combined with initial in-plan static loads and resting on a two-parameter (Pasternak-type) elastic foundation. The formulations are based on Reddy’s higher order shear deformation plate theory and general von Kármán-type equation, which includes the plate-foundation interaction. Two cases of the in-plane boundary conditions are considered. The equations of motion are solved by means of a perturbation technique to determine nonlinear frequencies and dynamic responses of symmetric cross-ply and antisymmetric angle-ply shear deformable laminated plates. The effects of amplitude ratio, foundation stiffness and initial in-plane loads on frequency ratios and dynamic responses are also studied. The results show that the foundation stiffness and initial in-plane loads have a significant effect on the nonlinear to linear frequency ratios as well as dynamic response of shear deformable laminated plates.
Nonlinear vibration and dynamic response of simply supported shear deformable laminated plates on elastic foundations
Huang, X.-L. (author) / Zheng, J.-J. (author)
Engineering Structures ; 25 ; 1107-1119
2003-03-04
13 pages
Article (Journal)
Electronic Resource
English
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