Geometrically nonlinear bending analysis of laminated composite plate

Dash, P. R.; Singh, B.N.

doi:10.1016/j.cnsns.2009.11.017

Cited by 49 publications

(9 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Geometrically nonlinear behaviour of laminated plates including residual stresses, is a rich literature; the reader can find a sample of it in Reddy (2004), Dash and Singh (2010), Reddy and Chandrashekhara (1985), Chang and Huang (1991) and Muthurajan et al (2005). We hereby provide a semi-analytical solution instead of FEM calcuations.…”

Section: Introductionmentioning

confidence: 99%

Electromechanical modelling of piezoelectrically actuated MEMS tunable lenses with geometric nonlinearity

Farghaly

Карташов

Akram

et al. 2021

Journal of Intelligent Material Systems and Structures

View full text Add to dashboard Cite

This article presents a variational model for the geometrically nonlinear behaviour of the piezoelectrically actuated MEMS tunable lenses. Residual stresses during fabrication and larger actuation voltages cause large deflections such that a linear model would provide less accurate approximation. This presses the need for a nonlinear model that can explain the softening and hardening effects exhibited by the lens during its operation and affect its optical performance. Thus, in the view of von Kármán’s plate theory, the presented nonlinear model predicts the lens displacement after solving a cubic nonlinear system of equations. The chosen displacement ansatz fits the problem under study by satisfying the mechanical boundary conditions, and simplifying calculation of the variational integrals and optical representation of the lens’ sag. The model also shows good agreement with FEM simulations over various combinations of tensile and compressive residual stresses. Moreover, it succeeds in fitting measurements when used in a constrained optimization scheme in which the layers’ residual stresses and the e-form piezoelectric coupling coefficient are the fitting parameters.

show abstract

Section: Introductionmentioning

confidence: 99%

Electromechanical modelling of piezoelectrically actuated MEMS tunable lenses with geometric nonlinearity

Farghaly

Карташов

Akram

et al. 2021

Journal of Intelligent Material Systems and Structures

View full text Add to dashboard Cite

show abstract

“…To avoid the use of shear correction factor and have a better prediction of response of laminated plates, many HSDTs have been developed. In general, the HSDT can be developed based on the assumption of higher-order variations for in-plane displacements or both in-plane and transverse displacements [51][52][53][54][55][56][57] through the thickness of the plate. Although the HSDT do not require a shear correction factor, their equations of motion are more complicated than those of the FSDT.…”

Section: Introductionmentioning

confidence: 99%

Finite element formulation of a refined plate theory for laminated composite plates

Thai

Choi

2013

Journal of Composite Materials

View full text Add to dashboard Cite

A new four-node quadrilateral plate that accounts for shear deformation effect and all couplings from the material anisotropy is developed for laminated composite plates. Lagrangian linear interpolation functions are used to describe the primary variables corresponding to the in-plane displacements, while Hermitian cubic interpolation functions are considered for the transverse displacement. Since the present element is derived based on a refined plate theory that has strong similarity with the classical plate theory, it is capable of modeling both thin and very thick plates without shear locking. The accuracy of the present formulation is verified by comparing the results obtained with those available in the open literature. Numerical results are presented to investigate the effects of thickness ratio, lamination angle and lay-up on the shear deformation and response of laminates.

show abstract

“…Finite element methods are widely used in studying linear and nonlinear vibration of rectangular laminates. [22][23][24][25][26][27][28] Thai et al 29 presented a novel numerical procedure based on node-based smoothed discrete shear gap method associated with the C 0 -HSDT type for static, free vibration and buckling analyses of angle-ply and cross-ply laminated composite plates with different shapes. Linear and nonlinear free vibration of asymmetric cross-ply Glare 3 panel investigated by the current authors.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear free and forced vibrations of anti-symmetric angle-ply hybrid laminated rectangular plates

Shooshtari

Razavi

2013

Journal of Composite Materials

View full text Add to dashboard Cite

In this article, the nonlinear equations of motion for anti-symmetric angle-ply composite rectangular plates have been derived using the first-order shear deformation theory, including shear deformation and rotary inertia. By using the Galerkin method, five coupled nonlinear partial differential equations of motion are reduced to a nonlinear ordinary differential equation. Then, the multiple time scales method is used to solve the obtained equation and to derive an analytical relation for the nonlinear frequency. Results are compared with the literature and good agreement is achieved. After proving the validity of this study, nonlinear free and forced vibration of a fiber metal laminated rectangular plate have been studied and the effects of some system parameters on the nonlinear behavior of the FML rectangular plate have been investigated.

show abstract

Geometrically nonlinear bending analysis of laminated composite plate

Cited by 49 publications

References 22 publications

Electromechanical modelling of piezoelectrically actuated MEMS tunable lenses with geometric nonlinearity

Electromechanical modelling of piezoelectrically actuated MEMS tunable lenses with geometric nonlinearity

Finite element formulation of a refined plate theory for laminated composite plates

Nonlinear free and forced vibrations of anti-symmetric angle-ply hybrid laminated rectangular plates

Contact Info

Product

Resources

About