Coupled higher order and mixed layerwise finite element based static and free vibration analyses of laminated plates

Band, Umesh Naresh; Desai, Yogesh M.

doi:10.1016/j.compstruct.2015.03.018

Cited by 10 publications

(2 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It can be obtained by sliding a catenary curve on an inclined straight line, whose slope is equal to α = π/12. The reference surface can be described by the following position vector r(ϕ, y) r(ϕ, y) = (d arcsinh(tan ϕ) + y sin α sin ϕ) e 1 − y cos α e 2 + + (d(cos h(arcsinh(tan ϕ)) − 1) − y sin α cos ϕ)e 3 (55) in which ϕ, y are the curvilinear coordinates of the surface, assuming ϕ ∈ [−1.131728, Table 6. Comparison of the frequency parameter Ω = 2π f R ρ/E 2 for a laminated composite toro-circular panel (R b = −1.5m) with different boundary conditions and lamination schemes.…”

Section: Free Vibrations Of Laminated Composite Shellsmentioning

confidence: 99%

An Equivalent Layer-Wise Approach for the Free Vibration Analysis of Thick and Thin Laminated and Sandwich Shells

et al. 2016

View full text Add to dashboard Cite

Abstract:The main purpose of the paper is to present an innovative higher-order structural theory to accurately evaluate the natural frequencies of laminated composite shells. A new kinematic model is developed starting from the theoretical framework given by a unified formulation. The kinematic expansion is taken as a free parameter, and the three-dimensional displacement field is described by using alternatively the Legendre or Lagrange polynomials, following the key points of the most typical Layer-wise (LW) approaches. The structure is considered as a unique body and all the geometric and mechanical properties are evaluated on the shell middle surface, following the idea of the well-known Equivalent Single Layer (ESL) models. For this purpose, the name Equivalent Layer-Wise (ELW) is introduced to define the present approach. The governing equations are solved numerically by means of the Generalized Differential Quadrature (GDQ) method and the solutions are compared with the results available in the literature or obtained through a commercial finite element program. Due to the generality of the current method, several boundary conditions and various mechanical and geometric configurations are considered. Finally, it should be underlined that different doubly-curved surfaces may be considered following the mathematical framework given by the differential geometry.

show abstract

Section: Free Vibrations Of Laminated Composite Shellsmentioning

confidence: 99%

An Equivalent Layer-Wise Approach for the Free Vibration Analysis of Thick and Thin Laminated and Sandwich Shells

et al. 2016

View full text Add to dashboard Cite

show abstract

“…Desai presents a unique finite element method for the analysis of the static and free vibration properties of thick plates and sheets. This method combines the 3D hybrid layered and the equivalent monolayer theory [3]. X.W.…”

Section: Introductionmentioning

confidence: 99%

Research on vibration noise of the composite laminated plate structure based on the FEM-BEM

Shi

Teng

et al. 2017

MATEC Web Conf.

View full text Add to dashboard Cite

Abstract. Based on the FEM-BEM hybrid method, the effects of the angle of composite layer, number of layers and the opening position of a composite material and opening form are studied in order to get these three aspects' influence law on the vibration and acoustic radiation properties of the composite laminated plate structure, which can provide some reference for the engineers to design the composite laminated plate structure.

show abstract

Coupling of kinematics for the analysis of composite beam based on the partition of the unity method

Vidal,

Gallimard,

Polit

2024

Applied Mathematical Modelling

View full text Add to dashboard Cite

Coupled higher order and mixed layerwise finite element based static and free vibration analyses of laminated plates

Cited by 10 publications

References 29 publications

An Equivalent Layer-Wise Approach for the Free Vibration Analysis of Thick and Thin Laminated and Sandwich Shells

An Equivalent Layer-Wise Approach for the Free Vibration Analysis of Thick and Thin Laminated and Sandwich Shells

Research on vibration noise of the composite laminated plate structure based on the FEM-BEM

Coupling of kinematics for the analysis of composite beam based on the partition of the unity method

Contact Info

Product

Resources

About