Generalized Timoshenko Theory of the Variational Asymptotic Beam Sectional Analysis

By Wenbin Yu, Dewey H. Hodges. 2005

140 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/a445b28503d9f5f99f326c85a4f6edc6fc04214c

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In Aerospace Engineering

In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Guidelines and Recommendations to Construct Theories for Metallic and Composite Plates (2010, unknown): “[46–48].”
Analysis of reinforced and thin-walled structures by multi-line refined 1D/beam models (2013, unknown): “Some further valuable contributions have been made by Volovoi [18], Popescu and Hodges [19], Yu et al. [20], Yu and Hodges [21, 22].”
Multi-material topology optimization of laminated composite beam cross sections (2012, methodology): “The shear and elastic center positions are determined based on the entries of the cross section compliance matrix (cf. Hodges [19]).”
Maximum stiffness and minimum weight optimization of laminated composite beams using continuous fiber angles (2011, methodology): “The cross section properties are evaluated using the Variational Asymptotic Beam Cross Sectional Analysis software, VABS ( Yu and Hodges 2005 ; Y u et al. 2002).”
Constitutive models for strongly curved beams in the frame of isogeometric analysis (2016, background): “Actually, there exist mechanical models which are especially well suited for beams with large curvature, see for example the classic paper byWinkler [17] (that will be shortened by the symbol W), which is based on simple kinematic assumptions or, more recently, those based on variational asymptotic ”
Static and free vibration analysis of laminated beams by refined theory based on Chebyshev polynomials (2015, unknown): “The generalized Timoshenko theory for composite beams embedded in the Variational Asymptotic Method was used in [10] for the calculation of sectional stiffness and shear center location for composite beam buckling and free vibration analyses.”
Recent developments on refined theories for beams with applications (2015, unknown): “In order to overcome this limitation and to be able to deal with anisotropic and non-homogenous materials, as well as arbitrary cross-sections, the VABS has been developed (Volovoi et al., 1999; Wang and Yu, 2014; Yu and Hodges, 2004, 2005; Yu et al., 2002).”
Refined beam elements with arbitrary cross-section geometries (2010, result): “The same authors [16] furnished further validation results, including shear correction factors and shear center evaluations as well as buckling and vibrations analyses.”