Refined beam elements with arbitrary cross-section geometries

By Erasmo Carrera, Gaetano Giunta, P. Nali, Marco Petrolo. 2010

288 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/84c472fbd3ebd6551bdd79b6982e0b74199852c0

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Efficient CUF-based FEM analysis of thin-wall structures with Lagrange polynomial expansion (2020, methodology): “Hence, this formulation has been successfully applied to beam models having a cross-section with an arbitrary geometry [37].”
Refined 1D Finite Elements for the Analysis of Secondary, Primary, and Complete Civil Engineering Structures (2015, background): “• As shown in Carrera and Petrolo (2012a), CW models can be easily enhanced by enriching the displacement field, i.”
Performance of CUF Approach to Analyze the Structural Behavior of Slender Bodies (2012, unknown): “In the framework of the CUF (Carrera 2002, 2003; Carrera and Giunta 2010; Carrera et al. 2010a, b; Carrera and Petrolo 2011), the displacement field is assumed as an expansion in terms of generic functions, F τ as follows: where F τ = functions of coordinates x and z on the cross section; u τ =…”
Static analysis of laminated beams via a unified formulation (2011, unknown): “[2].”
Refined One-Dimensional Formulations for Laminated Structure Analysis (2012, methodology): “For the sake of brevity, a more detailed overview on CUF is not reported here, but more details can be found in [59,64].”
Analysis of reinforced and thin-walled structures by multi-line refined 1D/beam models (2013, unknown): “The strength of CUF TE 1D models in dealing with arbitrary geometries, thin-walled structures and identifying local eﬀects is well known for both static [33, 34] and free-vibration analysis [35, 36, 37].”
Use of Lagrange multipliers to combine 1D variable kinematic finite elements (2013, methodology): “In static [22, 23] and free-vibration analysis [24, 25], the strength of CUF TE models in dealing with arbitrary geometries, thin-walled structures and local effects was evident.”
Static and free vibration analysis of laminated beams by refined theory based on Chebyshev polynomials (2015, unknown): “A more detailed explanation of CUF fundamental nuclei and assembly procedure can be found in [59, 50].”
Refined dynamic stiffness elements applied to free vibration analysis of generally laminated composite beams with arbitrary boundary conditions (2014, unknown): “The strength of CUF TE 1D models in dealing with arbitrary geometries, thin-walled structures and identifying local effects are well known for both static [28,29] and free-vibration analysis [30–32].”
Hierarchical theories for the free vibration analysis of functionally graded beams (2011, unknown): “[14]) and thin-walled (see Giunta et al.”