NATURAL VIBRATIONS OF LAMINATED COMPOSITE BEAMS BY USING MIXED FINITE ELEMENT MODELLING

• Published in: Journal of sound and vibration Vol. 257; no. 4; pp. 635 - 651
• Main Authors: RAMTEKKAR, G.S., DESAI, Y.M., SHAH, A.H.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 31.10.2002; Elsevier
• Subjects: Computational techniques; Exact sciences and technology; Finite-element and galerkin methods; Fundamental areas of phenomenology (including applications); Mathematical methods in physics; Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Constitutive equation; Stratified material; Free vibration; Numerical method; Modeling; Mixed method; Composite material; Beam(mechanics); Natural frequency; Finite element method; Kinematics; Hamiltonian mechanics; Structural analysis
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1006/jsvi.2002.5072

A six-node, plane-stress mixed finite element model has been developed by using Hamilton's energy principle for the natural vibrations of laminated composite beams. Continuity of the transverse stress and displacement fields has been enforced through the thickness of the laminated beam in the formulation for proper modelling. The transverse stress components have been invoked as the nodal degrees of freedom by applying elasticity relations. Natural frequencies of laminated composite beams obtained through the present formulation have been shown to be in good agreement with the data available in the literature. Various mode shapes have also been presented as benchmark solutions.