Coupled bending-torsion vibrations of rotating blades of asymmetric aerofoil cross section with allowance for shear deflection and rotary inertia by use of the Reissner method

Subrahmanyam, K.B.; Kulkarni, S.V.; Rao, J. S.

doi:10.1016/0022-460x(81)90233-9

Cited by 46 publications

(18 citation statements)

References 9 publications

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“…d X ¼2.9718e-3 m d Y ¼0, L ¼0.0508 m, P 0 ¼0 (first bending-bending and first torsion) (---) k ¼ 0.9454, (-) k ¼ 0.4727. Table 3 shows the comparison, between the theoretical and experimental results of Subrahmanyam et al [11] with the present results. The natural frequencies agree closely.…”

Section: Resultsmentioning

confidence: 52%

“…The natural frequencies agree closely. The effect of an increase in the distance between the centroid and the centre of flexure is to decrease the coupled bending dominant frequencies and to increase the coupled torsion dominant frequencies [11]. Fig.…”

Section: Resultsmentioning

confidence: 98%

“…8. The effect of the flexural distance from the centroid on the width parameters of blades [11] with various pre-twist angle. L ¼0.0508 m, P 0 ¼0 (second bending-bending and first torsion), Fig.…”

Section: Resultsmentioning

confidence: 99%

“…(17) is substituted into Eqs. (5), (6), (11) and (13) and all the elements are assembled. Then the global matrix forms of the kinetic and potential energies of the beam are written, respectively, as…”

Section: Article In Pressmentioning

confidence: 99%

“…Karadag [10] investigated the dynamic characteristics of rotating and non-rotating practical bladed disks by taking blade shear centre effects into account. Subrahmanyam et al [11] presented natural frequencies and modal shapes of the first five modes of vibration for a rotating blade of asymmetrical aerofoil cross-section with allowance for shear deflection and rotary inertia. Steinman et al [ product moment of inertia of cross-section about x 1 x 1 and y 1 y 1 J z polar moment of area of cross-section I cf moment of inertia about the centre of flexure,…”

Section: Introductionmentioning

confidence: 99%

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The dynamic stability of a rotating pre-twisted asymmetric cross-section Timoshenko beam subjected to lateral parametric excitation

Sabuncu

Evran

2006

International Journal of Mechanical Sciences

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Section: Resultsmentioning

confidence: 52%

Section: Resultsmentioning

confidence: 98%

Section: Resultsmentioning

confidence: 99%

Section: Article In Pressmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The dynamic stability of a rotating pre-twisted asymmetric cross-section Timoshenko beam subjected to lateral parametric excitation

Sabuncu

Evran

2006

International Journal of Mechanical Sciences

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A generalization of the timoshenko beam model for coupled vibration analysis of thin‐walled beams

Capuani

Savoia

Laudiero

1992

Earthq Engng Struct Dyn

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A generalization of the Timoshenko beam model is presented which accounts for the influence of the shear strains, due to non-uniform bending and torsion, on the flexural-torsional vibrations of thin-walled cores with open or closed cross-section. The axial displacement field incorporates the torsion secondary warping as well as the warping terms depending on the shear resultants. It is shown that exact solutions for the interior domain problem can be obtained under proper load conditions. Moreover, a discrete model for the free-vibration analysis is derived by adopting a linear interpolation of the unknown functions and a reduced integration in order to avoid locking phenomena. Various applications are developed, including the case of the coupled vibrations of a shear-core-steel-frame building.

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Vibration analysis of rotating turbomachinery blades by an improved finite difference method

Subrahmanyam

Kaza

1985

Numerical Meth Engineering

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SUMMARYThe problem of calculating the natural frequencies and mode shapes of rotating blades is solved by an improved finite difference procedure based on second-order central differences. Lead-lag, flapping and coupled bending-torsional vibration cases of untwisted blades are considered. Results obtained by using the present improved theory have been observed to be close lower bound solutions. The convergence has been found to be rapid in comparison with the classical first-order finite difference method. While the computational space and time required by the present approach is observed to be almost the same as that required by the first-order theory for a given mesh size, accuracies of practical interest can be obtained by using the improved finite difference procedure with a relatively smaller matrix size, in contrast to the classical finite difference procedure which requires either a larger matrix or an extrapoIation procedure for improvement in accuracy.

show abstract

Coupled bending-torsion vibrations of rotating blades of asymmetric aerofoil cross section with allowance for shear deflection and rotary inertia by use of the Reissner method

Cited by 46 publications

References 9 publications

The dynamic stability of a rotating pre-twisted asymmetric cross-section Timoshenko beam subjected to lateral parametric excitation

The dynamic stability of a rotating pre-twisted asymmetric cross-section Timoshenko beam subjected to lateral parametric excitation

A generalization of the timoshenko beam model for coupled vibration analysis of thin‐walled beams

Vibration analysis of rotating turbomachinery blades by an improved finite difference method

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