Secondary torsional moment deformation effect by BEM

Mokos, V. G.; Sapountzakis, E. J.

doi:10.1016/j.ijmecsci.2011.08.001

Cited by 43 publications

(42 citation statements)

References 15 publications

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“…As noted by Mokos and Sapountzakis [22], for open cross-sections (e.g. I-beams) the secondary torsional moment has only a small influence on the torsional behaviour of the beam, however, its inclusion leads to more accurate results.…”

Section: Equations Of Motionmentioning

confidence: 89%

A semi-analytical beam model for the vibration of railway tracks

Kostovasilis

Thompson

Hussein

2017

Journal of Sound and Vibration

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The high frequency dynamic behaviour of railway tracks, in both vertical and lateral directions, strongly affects the generation of rolling noise as well as other phenomena such as rail corrugation. An improved semi-analytical model of a beam on an elastic foundation is introduced that accounts for the coupling of the vertical and lateral vibration. The model includes the effects of cross-section asymmetry, shear deformation, rotational inertia and restrained warping. Consideration is given to the fact that the loads at the rail head, as well as those exerted by the railpads at the rail foot, may not act through the centroid of the section. The response is evaluated for a harmonic load and the solution is obtained in the wavenumber domain. Results are presented as dispersion curves for free and supported rails and are validated with the aid of a Finite Element (FE) and a waveguide finite element (WFE) model. Closed form expressions are derived for the forced response, and validated against the WFE model. Track mobilities and decay rates are presented to assess the potential implications for rolling noise and the influence of the various sources of vertical-lateral coupling. Comparison is also made with measured data. Overall, the model presented performs very well, especially for the lateral vibration, although it does not contain the high frequency cross-section deformation modes. The most significant effects on the response are shown to be the inclusion of torsion and foundation eccentricity, which mainly affect the lateral response.

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Section: Equations Of Motionmentioning

confidence: 89%

A semi-analytical beam model for the vibration of railway tracks

Kostovasilis

Thompson

Hussein

2017

Journal of Sound and Vibration

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“…However, in all of the aforementioned research efforts only bars of thin-walled cross section are investigated, since the torsional cross section parameters (warping constant, primary and secondary torsion constant, and shear center) as well as the shear and normal stresses are evaluated employing the Vlasov thin tube theory [68,69]. Finally, Kraus [84] presented a FEM solution for the calculation of the secondary torsion constant of bars of hot rolled I-sections and Mokos and Sapountzakis in [85] developed a BEM solution for the nonuniform torsion of simply or multiply connected bars of doubly symmetric arbitrary constant cross section (thin and/or thick walled), taking into account secondary torsional moment deformation effect. In this last research effort, to account for secondary shear deformations, the concept of shear deformation coefficient is used leading to a secondary torsion constant, which is computed employing an effective automatic domain integration using the Advancing Front Method (AFM) [86].…”

Section: Secondary Torsional Moment Deformation Effect In Elastic Linmentioning

confidence: 99%

“…From the examined example problems presented in [85] it is concluded that (i) the inaccuracy of the thin tube theory in calculating the secondary torsion constant even for thin-walled sections is noteworthy;…”

Section: Equations Of Global Equilibriummentioning

confidence: 99%

“…Since the topic at hand is analogous to the geometrically nonlinear Timoshenko beam theory of shear-bending loading conditions [78,83], it does not satisfy local equilibrium equations (for relevant discussions see e.g., Simo et al [132] and Minghini et al [133]). This problem is alleviated by introducing torsional shear correction factor at the global level [78,84,85] and suitable warping shear stress distribution at the local level [80,85,147]. The aforementioned contributions refer to the linear elastic regime.…”

Section: Inelastic Nonuniform Torsion Of Bars Including Secondary Tormentioning

confidence: 99%

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Bars under Torsional Loading: A Generalized Beam Theory Approach

Sapountzakis

2013

ISRN Civil Engineering

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In this paper both the static and dynamic analyses of the geometrically linear or nonlinear, elastic or elastoplastic nonuniform torsion problems of bars of constant or variable arbitrary cross section are presented together with the corresponding research efforts and the conclusions drawn from examined cases with great practical interest. In the presented analyses, the bar is subjected to arbitrarily distributed or concentrated twisting and warping moments along its length, while its edges are supported by the most general torsional boundary conditions. For the dynamic problems, a distributed mass model system is employed taking into account the warping inertia. The analysis of the aforementioned problems is complete by presenting the evaluation of the torsion and warping constants of the bar, its displacement field, its stress resultants together with the torsional shear stresses and the warping normal and shear stresses at any internal point of the bar. Moreover, the construction of the stiffness matrix and the corresponding nodal load vector of a bar of arbitrary cross section taking into account warping effects are presented for the development of a beam element for static and dynamic analyses. Having in mind the disadvantages of the 3D FEM solutions, the importance of the presented beamlike analyses becomes more evident.

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“…However, but the somewhat involved mathematical analysis makes grasping the practical implications of theory difficult for the industrial engineer. In instances where the cross-section considered is not circular which is a noncircular member, the analysis of torsional stresses becomes fairly complex (Chen, et (Dumir, et al, 1993;Friedman, et al, 2000;Sapountzakis, 2001;2003;Mokos, et al, 2011). Since the Saint-Venant has the torsion of prismatic and cylindrical bars reduced to a mathematical calculation of an analytical function satisfying prescribed boundary values, several analytical researches have been achieved in recent years.…”

Section: Introductionmentioning

confidence: 99%

Analysis for Torsion of Hollow Beam by Least Squares and Boundary Elements Method

Kim¹,

Bae²

2012

Journal of the Computational Structural Engineering Institute o

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In this paper we are concerned with the performance of structural stability of torsion in square cross section of a beam with holes. The critical load is defined as the smallest load at which the equilibrium of the structure fails to be stable as the load is slowly increased from zero. The beams subjected to torsion are frequently encountered in general structures and these forces influence to the stability of structure. The boundary element method is found to be very efficient and accurate for the analysis of torsion problems including complex boundary conditions with respect to its simplicity and generality. In this paper, it is required to derive the boundary element formulation for torsion problem and integrate directly on the discrete boundary. To investigate the validity of the developed computer program, three distinctly solid cross-sections which are elliptical, rectangular and triangular one are analyzed, and comparisons are made with analytical approaches where these can also be used.

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Secondary torsional moment deformation effect by BEM

Cited by 43 publications

References 15 publications

A semi-analytical beam model for the vibration of railway tracks

A semi-analytical beam model for the vibration of railway tracks

Bars under Torsional Loading: A Generalized Beam Theory Approach

Analysis for Torsion of Hollow Beam by Least Squares and Boundary Elements Method

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