Free vibration response of a three-node shear flexible finite element for moderately deep shells

• Published in: Finite elements in analysis and design Vol. 39; no. 4; pp. 257 - 281
• Main Author: Kabir, Humayun R.H.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.02.2003; Elsevier
• Subjects: Computational techniques; Exact sciences and technology; Finite-element and galerkin methods; Fundamental areas of phenomenology (including applications); Mathematical methods in physics; Physics; Shear locking; Shells; Solid mechanics; Structural and continuum mechanics; Three-node element; Vibration; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Shells; Vibration; Three-node element; Shear locking; Natural frequency; Finite element method; Double curvature; Free vibration; Triangular finite element; Numerical method; Vibrational mode; Curvature; Numerical convergence; Deep shell
• ISSN: 0168-874X; 1872-6925
• DOI: 10.1016/S0168-874X(02)00067-7

A free vibration response of a shear-locking free isoparametric shear flexible three-node triangular finite element suitable for moderately deep shell configurations is presented. The moderately deep shell configuration based on the Sanders’ shell theory is incorporated into the element formulation. A shear correction term is introduced in transverse shear strain components to alleviate the shear-locking phenomenon. The element is developed with a full integration scheme. Natural frequencies and mode shapes are obtained and compared for doubly curved shells with the available analytical and finite element solutions.