Generalized Warping Effect in the Dynamic Analysis of Beams of Arbitrary Cross Section

Dikaros, I. C.; Sapountzakis, E. J.; Argyridi, Amalia; Papadopoulos, Dimitrios

doi:10.7712/120115.3388.441

Cited by 2 publications

(2 citation statements)

References 42 publications

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“…On the other hand, the influence of the STMDE by nonuniform elastostatic torsion of the open thin-walled sections is not significant. A broad comprehensive overview of the literature dealing with the issue of non-uniform torsion of thinwalled beams can be found, for example, in [1] and [2]. Thin-walled beam structures are frequently exposed to dynamic loads.…”

Section: Introductionmentioning

confidence: 99%

“…Other very recent aspects in the area of numerical solutions of non-uniform torsion are treated in [20]- [24]. Finally, in [2], a boundary element solution is developed for dynamic analysis, considering warping of beams with arbitrary cross-sections, including shear lag effects due to both flexure and torsion. High accuracy of the results in comparison to the ones obtained by solid finite element solution is obtained.…”

Section: Introductionmentioning

confidence: 99%

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Second-Order Torsional Warping Modal Analysis of Thin-Walled Beams

Muŕın¹,

Aminbaghai²,

Hrabovský³

et al. 2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Second-Order Torsional Warping Modal Analysis of Thin-Walled Beams

Muŕın¹,

Aminbaghai²,

Hrabovský³

et al. 2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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On incorporating warping effects due to transverse shear and torsion into the theories of straight elastic bars

Lewiński

Czarnecki

2020

Acta Mech

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By endowing El Fatmi’s theories of bars with first-order warping functions due to torsion and shear, a family of theories of bars, of various applicability ranges, is effectively constructed. The theories thus formed concern bars of arbitrary cross-sections; they are reformulations of the mentioned theories by El Fatmi and theories by Kim and Kim, Librescu and Song, Vlasov and Timoshenko. The Vlasov-like theory thus developed is capable of describing the torsional buckling and lateral buckling phenomena of bars of both solid and thin-walled cross-sections, which reflects the non-trivial correspondence, noted by Wagner and Gruttmann, between the torsional St.Venant’s warping function and the contour-wise defined warping functions proposed by Vlasov. Moreover, the present paper delivers an explicit construction of the constitutive equations of Timoshenko’s theory; the equations linking transverse forces with the measures of transverse shear turn out to be coupled for all bars of asymmetric cross-sections. The modeling is hierarchical: the warping functions are numerically constructed by solving the three underlying 2D scalar elliptic problems, providing the effective characteristics for the 1D models of bars. The 2D and 1D problems are indissolubly bonded, thus forming a unified scientific tool, deeply rooted in the hitherto existing knowledge on elasticity of elastic straight bars.

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Generalized Warping Effect in the Dynamic Analysis of Beams of Arbitrary Cross Section

Abstract: Abstract. In this paper a general formulation for the nonuniform warping dynamic analysis

Cited by 2 publications

References 42 publications

Second-Order Torsional Warping Modal Analysis of Thin-Walled Beams

Second-Order Torsional Warping Modal Analysis of Thin-Walled Beams

On incorporating warping effects due to transverse shear and torsion into the theories of straight elastic bars

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