Torsional vibration analysis of bars including secondary torsional shear deformation effect by the boundary element method

Sapountzakis, E. J.; Tsipiras, V.J.; Argyridi, Amalia

doi:10.1016/j.jsv.2015.04.032

Cited by 12 publications

(11 citation statements)

References 48 publications

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“…In [5], however, the warping finite beam element is recommended only for use for open thin-walled section beams. In [8], a boundary element method is developed for the non-uniform torsional vibration problem of doubly symmetric constant cross-sections, accounting for non-uniform warping and secondary torsional shear deformationeffects. Dynamic analysis of 3D beam elements, restrained at their edges and subjected to arbitrarily distributed dynamic loading is described in [9].…”

Section: Introductionmentioning

confidence: 99%

Second-order torsional warping theory considering the secondary torsion-moment deformation-effect

Aminbaghai

Muŕın

Balduzzi

et al. 2017

Engineering Structures

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In this paper, the influence of the variable axial force and of the Secondary Torsion-Moment Deformation-Effect (STMDE) on the deformations of beams due to torsional warping is investigated. The investigation is based on the second-order torsional warping theory of doubly symmetric beams with thin-walled open or closed cross-sections. The effect of the axial force on the torsional stiffness of thinwalled beams is considered according to the second-order torsional warping theory. The solutions of the underlying differential equations are used for setting up the relations, needed for application of the transfer matrix method. They are derived, considering both static and dynamic action. This enables stablishing the local

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Section: Introductionmentioning

confidence: 99%

Second-order torsional warping theory considering the secondary torsion-moment deformation-effect

Aminbaghai

Muŕın

Balduzzi

et al. 2017

Engineering Structures

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“…In the majority of works made in recent years, the effects of nonuniform shear warping distribution or, in other words, shear lag phenomenon in flexure, have not been extensively considered in the dynamic problems of beams by the inclusion of the corresponding inertia effects (Dikaros et al., 2016). The same case holds for the problem of torsion (Dikaros et al., 2016; Sapountzakis et al., 2016). Even though nonuniform torsion has been examined in the literature (Sapountzakis and Mokos, 2003; Vlasov, 1963; Zhang and Chen, 1991), the secondary shear deformation effect (STSDE) (Mokos and Sapountzakis, 2011; Tsipiras and Sapountzakis, 2012) and the corresponding inertia effects, in analogy to the shear lag in flexure, has not yet been investigated in torsional vibration analysis of beams (Dikaros et al., 2016).…”

Section: Introductionmentioning

confidence: 73%

“…Thus, the beam element formulations employed in studies of Dikaros et al. (2016) and Sapountzakis et al. (2016) consider the above mentioned warping effects in the dynamic problem.…”

Section: Introductionmentioning

confidence: 99%

“…In order to numerically account for the above mentioned phenomena, Boundary Element Methods (BEM) (Dikaros et al., 2016; Katsikadelis, 2002a; Sapountzakis et al., 2016) have in general been used. The additional geometric constants due to warping and the elementary ones are evaluated employing a pure BEM approach, which uses in-line elements for discretization of the cross section’s boundary, instead of area elements used for cross section’s domain in Finite Element Methods (FEM), leading to a small number of elements required achieving high accuracy, while remodeling to reflect design changes becomes simpler.…”

Section: Introductionmentioning

confidence: 99%

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Generalized vibration analysis of beams including warping effects by isogeometric methods

Sapountzakis

Tsiptsis

2017

Journal of Vibration and Control

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In this paper, the Isogeometric tools, either integrated in the Finite Element Method (FEM) or in a Boundary Element based Method (BEM) called Analog Equation Method (AEM), are employed for the vibration analysis of homogeneous beams of arbitrary cross section (thin- or thick- walled) taking into account nonuniform warping and shear deformation effects (shear lag due to both flexure and torsion). The beam is subjected to the combined action of arbitrarily distributed or concentrated axial and transverse loading, as well as to bending, twisting and warping moments. Its edges are subjected to the most general boundary conditions. By employing a distributed mass model system accounting for longitudinal, transverse, rotatory, torsional and warping inertia, ten boundary value problems with respect to the variable along the beam time-dependent 1-D kinematical components are formulated. The numerical solution or the spectrum analysis of the aforementioned problems is performed through IGA, FEM and AEM, leading to a system of second-order differential equations, which are quasi-static and solved for the free vibration case, formulating a generalized eigenvalue problem. Special cases of the generalized problem have also been studied in order to demonstrate the efficiency of AEM in reducing computational effort and improving accuracy, especially when combined to Isogeometric tools, such as NURBS and B-splines.

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“…In [5], however, the warping finite beam element is recommended only for use for open thin-walled section beams. In [8], a boundary element method is developed for the non-uniform torsional vibration problem of doubly symmetric constant cross-sections, accounting for non-uniform warping and secondary torsional shear deformation-effects. Dynamic analysis of 3D beam elements, restrained at their edges and subjected to arbitrarily distributed dynamic loading is described in [9].…”

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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Torsional vibration analysis of bars including secondary torsional shear deformation effect by the boundary element method

Cited by 12 publications

References 48 publications

Second-order torsional warping theory considering the secondary torsion-moment deformation-effect

Second-order torsional warping theory considering the secondary torsion-moment deformation-effect

Generalized vibration analysis of beams including warping effects by isogeometric methods

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

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