Electronic Resource
Springer
Nonlinear dynamics
2 (1991), S. 445-477
ISSN:
1573-269X
Keywords:
Anisotropic plate
;
shear deformation theory
;
extension-bending-shear vibrations
;
nonlinear equations of motion
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A general nonlinear theory for the dynamics of elastic anisotropic plates undergoing moderate-rotation vibrations is presented. The theory fully accounts for geometric nonlinearities (moderate rotations and displacements) by using local stress and strain measures and an exact coordinate transformation, which result in nonlinear curvatures and strain-displacement expressions that contain the von Karman strains as a special case. The theory accounts for transverse shear deformations by using a third-order theory and for extensionality and changes in the configuration due to in-plane and transverse deformations. Five third-order nonlinear partial-differential equations of motion describing the extension-extension-bending-shear-shear vibrations of plates are obtained by an asymptotic analysis, which reveals that laminated plates display linear elastic and nonlinear geometric couplings among all motions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00045438
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