Axial–torsional vibrations of rotating pretwisted thin walled composite beams

Sina, S. A.; Haddadpour, H.

doi:10.1016/j.ijmecsci.2013.12.018

Cited by 52 publications

(11 citation statements)

References 40 publications

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“…For free-of-warping cross-sections, for which I   0 , equation (14) degenerates to the equation for Saint-Venant torsion.…”

Section: Eigenvibrations Due To Nonuniform Torsionmentioning

confidence: 99%

“…In [13], geometrically non-linear free and forced vibrations of beams with non-symmetrical cross sections are investigated by the Saint-Venant theory of torsion. In [14], an axial-torsional vibration of rotating pretwisted thin-walled composite box beams, exhibiting primary and secondary warping, are investigated. In [15], a new formulation of a 3D beam element is presented with a new method of describing the transversal deformation of the beam cross-section and its warping.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modelling of Warping Eigenvibration by Non-Uniform Torsion

Muŕın¹,

Aminbaghai²,

Hrabovský³

et al. 2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. This contribution contains a novel investigation of the influence of warping of the cross-section of twisted beams on their eigenvibrations. The investigation is based on the analogy of the bending beam theory and the non-uniform torsion theory of thin-walled open INTRODUCTIONBeam structures are often exposed to time-dependent loads. Commercial FEM codes allow performing modal and transient dynamic analysis by 3D beam finite elements with and without consideration of the warping effect. Very often the improved Saint-Venant theory of torsion is used and special mass matrices are proposed. Mostly, the bicurvature is chosen as an additional warping degree of freedom and the secondary torsion moment deformation effect (STMDE) is not considered.For example in [1], the beam element can be used with a lumped or a consistent mass matrix. The consistent mass matrix includes warping effects but does not include the effect of shear deformation. For the standard beam element, the consistent mass matrix is based on reference [2] with the exception that there are additional terms arising from the warping constant  I . For the warping element, lumped masses for the warping degree of freedom (bicurvature) are defined [3]. As stated in [1], for solid and closed thin-walled sections, the standard beam element can be used without significant error. However, for the open thinwalled sections, the warping beam element should be used. In [4], the warping beam finite element is recommended to be used only for open thin walled section beams. In [5], the finite beam element is implemented with unrestrained or restrained warping (BEAM188). In [6], the warping beam finite element can be used only for elastostatic analysis of straight beams. It should be noted that in technical practice as well as in the Eurocodes 3 (EC3) the effect of non-uniform torsion by the steel beams with closed cross-sections is not considered.In the most recent literature relatively little information can be found that refers to the solution for free and forced torsional vibration of beams with hollow cross-sections that include non-uniform torsion effects. In [7], a boundary element method is developed for the nonuniform torsional vibration problem of doubly symmetric composite bars of arbitrary variable cross-section. Dynamic analysis of 3-D beam elements, restrained at their edges, subjected to arbitrarily distributed dynamic loading, is presented in [8]. In [9], Ref. [7] is extended taking the geometrical nonlinearity into account, and in [10], the effect of rotary and warping inertia is implemented. In [11], the nonlinear torsional vibrations of thin-walled beams exhibiting primary and secondary warping are investigated. In [12], a solution for the vibrations of Timoshenko beams by the isogeometric approach is presented, but warping effects are not considered. In [13], geometrically non-linear free and forced vibrations of beams with non-symmetrical cross sections are investigated by the Saint-Venant theory of torsion. In [14], an axial-torsional vi...

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“…For free-of-warping cross-sections, for which I   0 , equation (14) degenerates to the equation for Saint-Venant torsion.…”

Section: Eigenvibrations Due To Nonuniform Torsionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modelling of Warping Eigenvibration by Non-Uniform Torsion

Muŕın¹,

Aminbaghai²,

Hrabovský³

et al. 2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

View full text Add to dashboard Cite

show abstract

“…In [14], geometrically non-linear free and forced vibrations of beams with non-symmetrical cross-sections are investigated by the Saint-Venant theory of torsion. Axial-torsional vibrations of rotating pretwisted thin-walled composite box beams, exhibiting primary and secondary warping, are investigated in [15]. A formulation of a 3D beam element for computation of transversal and warping eigenmodes is presented in [16].…”

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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“…Chandiramani(9) studied the vibration of a thin‐walled rotating pre‐twisted beam using a higher order shear deformation theory. Sina and Haddadpour(10) studied axial‐torsional vibrations of rotating pre‐twisted thin‐walled composite beams. Saravia et al (11) used the finite element method to analysis dynamic stability behavior of a thin‐walled rotating composite beam.…”

Section: Introductionmentioning

confidence: 99%

Optimal control of supersonic pre-twisted rotating functionally graded thin-walled blades

Naghmehsanj

Rahmani

2016

Struct. Control Health Monit.

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In this paper, the optimal vibration control of a rotating, pre-twisted, single-celled box thin-walled beam made of functionally graded material is discussed. This beam is under aerothermoelastic loading and warping restraint. A first-order shear deformation theory enabling satisfaction of traction-free boundary conditions is employed to achieve governing dynamical model. These equations include the effects of the presetting angle, the secondary warping, temperature gradient through the wall thickness of the beam, and also the rotational speed. Moreover, quasi-steady aerodynamic pressure loadings are determined using first-order piston theory, and steady beam surface temperature is obtained from gas dynamics theory. The extended Galerkin method is then used to transform the blade partial differential equations into a set of ordinary differential equations. Transversely isotropic sensor-actuator piezoelectric pairs that are surface embedded along the blade are also considered for the purpose of closed-loop control. An optimal observer-based output feedback control scheme is used to stabilize the closed-loop system. Simulation studies demonstrate the effectiveness of the proposed method.

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Axial–torsional vibrations of rotating pretwisted thin walled composite beams

Cited by 52 publications

References 40 publications

Modelling of Warping Eigenvibration by Non-Uniform Torsion

Modelling of Warping Eigenvibration by Non-Uniform Torsion

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

Optimal control of supersonic pre-twisted rotating functionally graded thin-walled blades

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