A finite dynamic element for laminated composite plates and shells

Martin, C. Wayne; Lung, Shun-Fat

doi:10.1016/0045-7949(91)90395-3

Cited by 7 publications

(2 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…3D elements were also used in the analysis of composite shells by Dasgupta and Huang [42]. Finally, nonlinear vibration analysis was performed by many researchers using various types of composite shell elements (Martin and Lung [43]; Lakis and Laveau [44]). An improved doubly-curved shell finite element is here presented for the free-vibration analysis of composite structures.…”

Section: Introductionmentioning

confidence: 99%

Free-vibration analysis of laminated shells via refined MITC9 elements

Cinefra

2016

Mechanics of Advanced Materials and Structures

View full text Add to dashboard Cite

This article presents the free-vibration analysis of composite shell structures with double-curvature geometry by means of a shell finite element with variable through-the-thickness kinematic. The refined models used are grouped in the Unified Formulation by Carrera (CUF) and they permit the distribution of displacements and stresses along the thickness of the multilayered shell to be accurately described. The shell element has nine nodes and the Mixed Interpolation of Tensorial Components (MITC) method is used to contrast the membrane and shear locking phenomenon. The governing equations are derived from the Principle of Virtual Displacements (PVD). Laminated cylindrical and spherical shells with simply-supported edges are analyzed. Various laminations, orthotropic ratios and thickness ratios are considered. The results, obtained with different theories contained in the CUF, are compared with both the elasticity solutions given in literature and the analytical solutions obtained using the CUF and the Navier's method. The shell element based on the CUF is very efficient and refined models provide better results than classical ones in the free-vibration analysis of multilayered composite shells. Finally, spherical shells with different boundary conditions are analyzed using various theories in order to provide FEM benchmark solutions.

show abstract

Section: Introductionmentioning

confidence: 99%

Free-vibration analysis of laminated shells via refined MITC9 elements

Cinefra

2016

Mechanics of Advanced Materials and Structures

View full text Add to dashboard Cite

show abstract

“…Finite dynamic elements (FDEs) were first developed for line elements by Przemieniecki (1966). Subsequently, such elements were developed for various continuums such as prestressed membrane (Gupta 1976), plane (Gupta 1979) and shell (Martin & Lung 1991) among others.…”

Section: Introductionmentioning

confidence: 99%

A progressive simultaneous iteration solution for dynamic element vibration analysis

Gupta

Lawson²

2009

Proc. R. Soc. A.

View full text Add to dashboard Cite

Development and employment of dynamic elements can result in substantial gain in solution convergence for vibration analysis, when compared with the usual finite element discretization. Efficient solution of the associated quadratic matrix eigenproblem is crucial in achieving a superior and relatively economical solution. This paper first describes a novel eigensolution of the quadratic matrix equation by a progressive simultaneous iteration method. Free vibration analysis results of a rectangular prestressed membrane are next presented in detail that provides an assessment of relative solution convergence and computing expenses of the two idealization procedures.

show abstract

Finite element and boundary element library for composites — A bibliography (1991–1993)

Mackerle

1994

Finite Elements in Analysis and Design

View full text Add to dashboard Cite

A finite dynamic element for laminated composite plates and shells

Cited by 7 publications

References 8 publications

Free-vibration analysis of laminated shells via refined MITC9 elements

Free-vibration analysis of laminated shells via refined MITC9 elements

A progressive simultaneous iteration solution for dynamic element vibration analysis

Finite element and boundary element library for composites — A bibliography (1991–1993)

Contact Info

Product

Resources

About