Torsional vibrations of non-uniform rotating blades with attachment flexibility

Nagaraj, V. T.; Sahu, N.

doi:10.1016/0022-460x(82)90281-4

Cited by 10 publications

(5 citation statements)

References 3 publications

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“…They also gave an approximate formula for the fundamental frequency in such cases, when the total pretwist angle does not exceed 45°. Nagaraj and Sahu (1982) studied the torsional vibrations of non-uniform pretwisted rotating blades with attachment flexibility, by using finite element methods based on Rayleigh-Ritz and Galerkin formulations. A parametric study showed that the influences of centrifugal stiffening and cross sectional offset effects are negligible for practical blades, thus confirming a previous order of magnitude argument by Rosen and Friedmann (1977).…”

Section: Rotating Rodsmentioning

confidence: 99%

Structural and Dynamic Behavior of Pretwisted Rods and Beams

Rosen

1991

Applied Mechanics Reviews

120

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Because of being important structural elements in many engineering applications on one hand, and presenting inherent complicated coupling effects on the other hand, pretwisted rods have attracted the interest of many researchers. During the years, as a result of engineering breakthroughs, like the introduction of composite materials or operating at very high temperatures, the problems associated with pretwisted rods became more complicated. The present review will present the research during the last fifty years. It will be divided into three main subjects: static analysis, dynamic analysis and stability problems. The review will concentrate on the structural and dynamic aspects of pretwisted rods. Derivations of models and solution techniques will be addressed.

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Section: Rotating Rodsmentioning

confidence: 99%

Structural and Dynamic Behavior of Pretwisted Rods and Beams

Rosen

1991

Applied Mechanics Reviews

120

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“…In the following section, a numerical study is carried out to explore the instability characteristics of the rotating cantilever tube conveying fluid subjected to the distributed tangential follower force.Since the effect of hub radius (r*) on the dynamics of rotating cantilever tube conveying fluid has been clearly discussed in previous works (Cheng et al, 2011;Nagaraj andSahu, 1982;Rao and Gupta, 2001;Ozgumus and Kaya, 2007),here we just show how the rotating cantilever tube are influenced by the combined effects of the fluid flowing inside the tube, uniformly distributed tangential follower force and rotation of the tube. In addition, the solution of this problem through the Galerkin method is obtained by seven number of modes.…”

Section: Resultsmentioning

confidence: 88%

Effect of Uniformly Distributed Tangential Follower Force on the Stability of Rotating Cantilever Tube Conveying Fluid

Karimi-Nobandegani

Fazelzadeh

Ghavanloo

2016

Lat. Am. j. solids struct.

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In this paper, the Euler-Bernoulli beam model is used to predict the structural instability of rotating cantilever tubes conveying fluid and subjected to uniform distributed tangential compressive load. The governing equation of motion and boundary conditions of the system are derived using the Hamilton's principle. Then, Galerkin method is applied in order to transform the resulting equation into a general eigenvalue problem. The present analysis is validated by comparing the results with those available in literature. Furthermore, the model is utilized to elucidate the stability characteristics of the system for different conditions.

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“…In Table 2 there are compared the frequency predictions as per this model specialised for that one considered by Nagaraj and Sasu (23) , that is for the case of the non-pre-twisted isotropic beam model characterised by the free warping and the absence of the warping inertia effect. Within this model, and for the parameters listed on the top of Table 2, there are supplied the first four normalised eigen frequencies ω i -, for four selected values of the dimensionless rotational speed Ω -..…”

Section: Comparisons With a Number Of Results Obtained For Solid Beamsmentioning

confidence: 99%

Modelling and vibration of composite thin-walled rotating blades featuring extension-twist elastic coupling

Librescu

Song

2005

Aeronaut. j.

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The modelling and vibration of composite thin-walled pre-twisted rotating blades of non-uniform cross-sections along their span, and featuring the extension-twist elastic coupling are addressed. To this end, Hamilton's principle is used to derive the equations of motion and the associated boundary conditions. In addition to the pretwist and warping restraint, the exotic properties of advanced composite material are used, and the efficiency of implementing the tailoring technique toward the enhancement, without weight penalties, of the vibratory behaviour of rotating blades is illustrated. Comparisons between the predictions by both Wagner's and Washizu's approaches are presented, and pertinent conclusions regarding the implications of the various geometrical and physical characteristics of the blade are outlined.

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Torsional vibrations of non-uniform rotating blades with attachment flexibility

Cited by 10 publications

References 3 publications

Structural and Dynamic Behavior of Pretwisted Rods and Beams

Structural and Dynamic Behavior of Pretwisted Rods and Beams

Effect of Uniformly Distributed Tangential Follower Force on the Stability of Rotating Cantilever Tube Conveying Fluid

Modelling and vibration of composite thin-walled rotating blades featuring extension-twist elastic coupling

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