Unified formulation applied to free vibrations finite element analysis of beams with arbitrary section

By Erasmo Carrera, Marco Petrolo, P. Nali. 2011

148 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/e442b757a32d772a8d09802090cef9f6f672dd82

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In Biomedical Engineering

In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

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.”
Efficient CUF-based FEM analysis of thin-wall structures with Lagrange polynomial expansion (2020, background): “where Mssij is the mass matrix in the form of fundamental nucleus and € qsi is the nodal acceleration vector [13, 20].”
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].”
Recent developments on refined theories for beams with applications (2015, unknown): “A detailed literature review about the 1D CUF is given hereafter, whereas a comprehensive theoretical description of the 1D CUF can be found in Carrera et al. (2010a, 2011a, 2012a, 2014c).”
Performance of CUF Approach to Analyze the Structural Behavior of Slender Bodies (2012, unknown): “This is a known result from previous CUF works by Carrera et al. (2011), in which up to N ¼ 11 were needed to detect the accurate 3D solution in the case of thin-walled structures.”
Free vibration analysis of rotating composite blades via Carrera Unified Formulation (2013, unknown): “) in [28–35].”
Refined beam elements with only displacement variables and plate/shell capabilities (2012, background): “Free vibration analyses, see [9, 10], underlined the possibility of detecting shell-like vibration modes by means of refined beam theories with no need of more cumbersome 2D or 3D models.”
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].”
Static and free vibration analysis of laminated beams by refined theory based on Chebyshev polynomials (2015, unknown): “The models known from the literature as TE [33, 50, 51] are obtained considering the Taylor-like polynomials as Fτ functions.”
Refined One-Dimensional Formulations for Laminated Structure Analysis (2012, methodology): “The finite element formulation was then presented for static [59] and freevibration [60] analysis.”