A family of sinus finite elements for the analysis of rectangular laminated beams

By Philippe Vidal, Olivier Polit. 2008

166 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/60cdd08dd7e3592f7446e89db2bc59fd83e4cd2d

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In Civil and Structural Engineering

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

Analysis of laminated shells by a sinusoidal shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations (2011, unknown): “This theory is an expansion of the developments by Touratier [9–11], and Vidal and Polit [12].”
Assessment of the refined sinus model for the non-linear analysis of composite beams (2009, methodology): “It is briefly described, and the reader can obtain a detailed description in [40,2].”
Proper Generalized Decomposition and layer-wise approach for the modeling of composite plate structures (2013, methodology): “Note also the refined approach based on the Sinus model (Vidal and Polit, 2008, 2009, 2011).”
Refined dynamic stiffness elements applied to free vibration analysis of generally laminated composite beams with arbitrary boundary conditions (2014, unknown): “Other important classes of refined theories are those based on the use of trigonometric functions [10,11] and those that make use of Murakami’s zig-zag functions [12] so as to take into account the discontinuity of the first derivative of the displacements [13].”
Free vibration analysis of laminated beam by polynomial, trigonometric, exponential and zig-zag theories (2014, methodology): “Equation (21) is rewritten using equations (6) and (9):”
A refined high-order global-local theory for finite element bending and vibration analyses of laminated composite beams (2011, background): “S Non-dimensional natural frequencies ω̄ Mode type Present Error (%) ANSYS [33] Exact 2D [50] 10 Bending 9.”