Dynamic Stability of Rotating Composite Shafts Under Periodic Axial Compressive Loads

Chen, Lien-Wen; Peng, W.-K.

doi:10.1006/jsvi.1997.1405

Cited by 32 publications

(19 citation statements)

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“…They have taken into account how the speed of rotation affects the stability behaviour of the shaft depending on whether the shaft is pre-twisted or nonpre-twisted. Chen and Peng [9] have examined the dynamic behaviour of a rotating composite beam subjected to axial periodic forces. Como [10] dealt with the case of lateral buckling of a cantilever bar subjected to a transverse following force and studied the stability of bending-torsional equilibrium.…”

Section: Resultsmentioning

confidence: 99%

Structural stability of a light rotating beam under combined loads

2017

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General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/pure/about/ebr-terms Abstract This paper investigates the structural stability of long boring or milling tools. The tool is modelled by a rotating cantilever beam that is subject to compression and torsion, manifested by semi-tangential torque. The three dimensional mathematical model is based on Euler-Bernoulli beam theory considering a linear three-dimensional problem. We obtain a dimensionless relationship between the relative importance of rotation, compression, and torsion that reveals the stability boundaries of the system.Consider a long boring or a milling tool (see Fig. 1(a)) modelled by a straight vertical cantilever beam. The beam rotates about its vertical axis as well as being subjected to torsion M t and compression mg. Due to the presence of torsion, we are not able to analyse the system in two-dimensions [1]. The compression can be modelled by a lumped mass m attached to the free end of the beam (see Fig. 2(a)) that is much larger than the mass of the beam. Thus, the mass of the beam might be neglected. The beam is considered to be prismatic, homogeneous, linearly elastic and inextensible. It is either in compression or in tension depending on whether it stands upward or downward, respectively. The described system might become unstable depending upon the speed of rotation, the compression, the torsion, or a combination of all three [1].The arrangement of the model and the corresponding notation can be seen in Fig. 2(a) where the gravitational acceleration is denoted by g, the angular velocity is ω, the centrifugal force is mω 2 d 1 , the compression is mg and the torsional moment vector is M t . Note that the twisting moment is assumed to be semi-tangential [3,4] depicted in Fig. 1(b), that is, the forces F acting on the beam generate an axial torque M t that is able to tilt about both the y and z axes. By taking into account only small displacement r = col v w and angles ψ , θ during buckling, the linearised form of the torque is M t = M t col 1 δ v /2 δ w /2 where M t = 4F a, and the bending components of M t come from its resolution with respect to the principal system (ξ, η, ζ) and by using the definition of the semitangential torque in the sense of Ziegler [3] (see Fig. 1(b) and (c)). In case of the principal system,

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Section: Resultsmentioning

confidence: 99%

Structural stability of a light rotating beam under combined loads

2017

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“…The changes in shaft geometry under rotating condition due to imperfections may cause localized bow in the shaft, and has been explained to be the cause of increased sensitivity of composite shafts to unbalance as observed experimentally [47,49,57]. Chen and Peng [10,11] …”

Section: Modeling and Analysismentioning

confidence: 94%

Composite Shaft Rotor Dynamics: An Overview

Gupta

2014

Mechanisms and Machine Science

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This paper summarizes research on dynamics of composite shafts, with an objective to develop light weight rotor systems. A review of available literature post-1996 is presented here, since a comprehensive review on similar topic was published in 1997 by Singh et al. Specifically the various aspects covered are, theories for dynamic analysis of fiber reinforced composite shaft, their modeling and analysis, experimental work, and design optimization procedures. All these aspects are important for full development of 'Composite Rotors' for light weight high performance transmission systems. Directions for future research are outlined.

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“…where (1,2,3) are the orthotropic axes. 1 is the fiber direction, 2 is the direction transversal to the fibers in the ply, 3 is the direction perpendicular to the ply and φ is the ply fiber angle.…”

Section: Composite Rotormentioning

confidence: 99%