NONLINEAR FINITE ELEMENT ANALYSIS OF BENDING OF STRAIGHT BEAMS USING HP-SPECTRAL APPROXIMATIONS

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RANJAN R.

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Journal Paper

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Journal: JOURNAL OF SOLID MECHANICS Year:2011 | Volume:3 | Issue:1 Page(s): 96-113

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Title

NONLINEAR FINITE ELEMENT ANALYSIS OF BENDING OF STRAIGHT BEAMS USING HP-SPECTRAL APPROXIMATIONS

Author(s)

RANJAN R. | Issue Writer Certificate

Keywords

SPECTRAL/HP METHOD

TIMOSHENKO BEAM THEORY

EULER-BERNOULLI BEAM THEORY

NODAL EXPANSIONS

DISPLACEMENT AND MIXED FINITE ELEMENT MODELS

Abstract

Displacement finite element models of various beam theories have been developed using traditional finite element interpolations (i.e., Hermite cubic or equi-spaced Lagrange functions).Various finite element models of beams differ from each other in the choice of the interpolation functions used for the transverse deflection w, total rotation j and/or shear strain gxz, or in the integral form used (e.g., weak form or least-squares) to develop the finite element model. The present study is concerned with the development of alternative beam finite elements using hp spectral NODAL EXPANSIONS to eliminate shear and membrane locking. Both linear and non-linear analysis are carried out using both DISPLACEMENT AND MIXED FINITE ELEMENT MODELS of the beam theories studied. Results obtained are compared with both analytical (series) solutions and nonlinear finite element solutions from literature, and excellent agreement is found for all cases.

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APA: Copy

RANJAN, R.. (2011). NONLINEAR FINITE ELEMENT ANALYSIS OF BENDING OF STRAIGHT BEAMS USING HP-SPECTRAL APPROXIMATIONS. JOURNAL OF SOLID MECHANICS, 3(1), 96-113. SID. https://sid.ir/paper/319236/en

Vancouver: Copy

RANJAN R.. NONLINEAR FINITE ELEMENT ANALYSIS OF BENDING OF STRAIGHT BEAMS USING HP-SPECTRAL APPROXIMATIONS. JOURNAL OF SOLID MECHANICS[Internet]. 2011;3(1):96-113. Available from: https://sid.ir/paper/319236/en

IEEE: Copy

R. RANJAN, “NONLINEAR FINITE ELEMENT ANALYSIS OF BENDING OF STRAIGHT BEAMS USING HP-SPECTRAL APPROXIMATIONS,” JOURNAL OF SOLID MECHANICS, vol. 3, no. 1, pp. 96–113, 2011, [Online]. Available: https://sid.ir/paper/319236/en

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