Nonlinear Analysis of Thick Circular Plates

Dumir, P.C.; Shingal, L.

doi:10.1061/(asce)0733-9399(1986)112:3(260)

Cited by 6 publications

(2 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Hadian and Nayfeh [1990] investigated modal interaction of circular plates. Dumir and Shingal [1986] applied orthogonal point collocation method to the solutions of thick circular plates. The nonlinear vibration analysis of circular plates with transverse shear and rotatory inertia has been presented by Chia and Sathyamoorthy [1981].…”

Section: Introductionmentioning

confidence: 99%

“…Various problems in structural mechanics have been solved successfully by this method [Dumir and Shingal (1986); Blevin (1979); Civalek (2001Civalek ( , 2004a; Civalek andÜlker (2004a); Civalek and Ç atal (2003a); Bert et al (1987Bert et al ( , 1994] till now. Wu and Liu [2001] and Wu et al [2002] applied generalized differential quadrature method for free vibration analysis of circular plates and circular plates with variable thickness.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Large Deflection Static and Dynamic Analysis of Thin Circular Plates Resting on Two-Parameter Elastic Foundation: HDQ/Fd Coupled Methodology Approaches

Cívalek

2005

Int. J. Comput. Methods

View full text Add to dashboard Cite

An analysis of the geometrically nonlinear dynamics of thin circular plates on a two parameter elastic foundation is presented in this paper. The nonlinear partial differential equations obtained from von Karman's large deflection plate theory have been solved by using the harmonic differential quadrature method in the space domain and the finite difference numerical integration method in the time domain. Winkler-Pasternak foundation model is considered and the influence of stiffness of Winkler (K) and Pasternak (G) foundation on the geometrically nonlinear analysis of the circular plates has been investigated.Numerical examples demonstrate the satisfactory accuracy, efficiency and versatility of the presented approach. From the numerical computation, it can be concluded that the present coupled methodology is an efficient method for the nonlinear static and dynamic analysis of circular plates with or without an elastic medium.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Large Deflection Static and Dynamic Analysis of Thin Circular Plates Resting on Two-Parameter Elastic Foundation: HDQ/Fd Coupled Methodology Approaches

Cívalek

2005

Int. J. Comput. Methods

View full text Add to dashboard Cite

show abstract

Effects of transverse shear and rotatory inertia on large amplitude vibration of composite plates and shells

Sathyamoorthy

1987

Sadhana

View full text Add to dashboard Cite

A nonlinear dynamical theory of non-classical plates

1997

J. of Shanghai Univ.

View full text Add to dashboard Cite

In this paper, a new nonlinear formulation of plates, including shear and rotatory inertia and transverse normal stress effects, is developed by means of general assumptions, of which the yon Karman-type fornmlation and some thick plate theories are special cases. To keep the formulation fairly general, the problem addressed in this paper simultaneously includes: the effects of shear deformation according to the geometric deformation similarity of the crosssection, the rotatory inertia, and the transverse normal stress. The three-dimensional compatible equations are applied to derive the basic equations. Numerical results are given for linear and non-linear analysis of plates. Nomenclature h It, V. IV It O, V O, WO fo q(x,y,t) P D E G V J P(:) B(:) k,,ko thic~less of the plate displacements at any point (x, y, z) in the x-, y-, and z-direction, respectively The middle-surface displacement components in the x-, y-, and =-direction, respectively shear rotations in addition to the usual flexural rotations deformation distribution fnnction of thickness transverse distributed loading mass density flexural rigidity of the plate, D = Eh 3 / 12(1 -v 2) Young's modulus modulus of elasticity in shear Poission's ratio inertia moment displacement distribution fnnction of shear function of transverse normal deformation angle fimctions of rotation at x-and ),-directions influence coefficients of shear and transverse normal stress, respectively This

show abstract

Nonlinear Analysis of Thick Circular Plates

Cited by 6 publications

References 7 publications

Large Deflection Static and Dynamic Analysis of Thin Circular Plates Resting on Two-Parameter Elastic Foundation: HDQ/Fd Coupled Methodology Approaches

Large Deflection Static and Dynamic Analysis of Thin Circular Plates Resting on Two-Parameter Elastic Foundation: HDQ/Fd Coupled Methodology Approaches

Effects of transverse shear and rotatory inertia on large amplitude vibration of composite plates and shells

A nonlinear dynamical theory of non-classical plates

Contact Info

Product

Resources

About