Dynamic analysis of a rotating composite shaft

Sino, Rim; Baranger, Thouraya; Châtelet, Éric; Jacquet, Georges

doi:10.1016/j.compscitech.2007.06.019

Cited by 100 publications

(57 citation statements)

References 14 publications

(28 reference statements)

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“…The mathematical model of the rotor was derived from the Lagrange's equations and the Rayleigh-Ritz method, which was evaluated considering different composite hollow shafts presented in the literature. The first natural frequency and the instability threshold obtained by the adopted Rayleigh-Ritz model were compared with the results presented by Sino et al (2008). The natural frequencies obtained from the Rayleigh-Ritz model are similar to those given by Sino et al (2008).…”

Section: Resultsmentioning

confidence: 73%

“…Ritz model adopted in this work, considering the first natural frequency and the instability threshold of different composite hollow shafts analyzed by Sino et al (2008). It is worth mentioning that the Newton-Raphson method in conjunction with the Newmarktype trapezoidal rule integration algorithm was used in this work to determine the vector q and, consequently, the lateral displacements of the shaft along the x and z directions by using Equation (3) (i.e., u and w, respectively).…”

Section: T N N Q T Q T Q T Q T Q T Q T Q (10)mentioning

confidence: 99%

“…Figure 5 shows a schematic representation regarding the directions of the fibers related to the Cartesian system, which follows the inertial directions defined for the analyzed rotor system (see the inertial directions defined in Figure 1). In this case, 1, 2, and 3 are orthotropic axes associated with the fiber direction, the transversal direction to the fibers in the ply, and the perpendicular direction to the ply, respectively; φ is the angular direction of the fibers (Sino et al, 2008). The homogenized flexural stiffness EI of the composite hollow shaft is determined following the SHBT theory, as is given by Equation (11).…”

Section: Composite Hollow Shaftmentioning

confidence: 99%

“…Applications based on a multilayered shell element were carried out to illustrate and validate the proposed model. The dynamic instability of an internally damped rotating composite shaft was evaluated in Sino et al (2008). The influence of the stacking sequences, fiber orientation, transversal shear effect on natural frequencies, and instability thresholds of the shaft were studied by using the equivalent modulus beam and layer wise beam theories for modeling purposes.…”

Section: Introductionmentioning

confidence: 99%

“…These drive shafts are already found in various aircrafts such as: Airbus A330, A340, A350, A380 and A400M, Bombardier C-Series, Boeing 787, and F-35 JSF (Crompton Technology Group Limited, 2015). Composite materials have interesting properties with respect to rotordynamics (Sino et al, 2008). The following examples can be cited: the high strength to weight ratio, the low resulting weight as compared with metal shafts, and the possibility of optimizing the dynamic behavior of the system aiming at specific characteristics (i.e., changing the number of plies, fiber orientation, material, etc.…”

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confidence: 99%

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Analysis of the Dynamic Behavior of a Rotating Composite Hollow Shaft

Cavalini

Guimarães

Silva

et al. 2017

Lat. Am. j. solids struct.

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In the present paper, a simplified homogenized beam theory is used in the context of a numerical investigation regarding the dynamic behavior of a rotating composite hollow shaft. For this aim, a horizontal flexible composite shaft and a rigid disc form the considered simple supported rotating system. The mathematical model of the rotor is derived from the Lagrange's equation and the Rayleigh-Ritz method, which is obtained from the strain and kinetic energies of the disc and shaft, and the mass unbalance. In this case, a convergence procedure is carried out in terms of the vibration modes to obtain a representative model for the rotor system. Therefore, the proposed analysis is performed in both frequency and time domains, in which the frequency response functions, the unbalance responses, the Campbell diagram, and the orbits are numerically determined. Additionally, the instability threshold of the rotor system is obtained. This study illustrates the convenience of the composite hollow shafts for rotor dynamics applications. KeywordsRotor dynamics, composite hollow shaft, Rayleigh-Ritz method, numerical investigation. the dynamics of rotating machines was studied by Jeffcott (1919). The work of H.H. Jeffcott led to the development of other essential studies, such as the Campbell diagram, which was first presented by Wilfred Campbell, from General Electric. More effective methods of balancing were proposed and the behavior of rotors supported by hydrodynamic bearings was further investigated, leading to the design of lighter rotating machines operating at higher speeds.The mathematical representation of the specific physical phenomena that involve rotating machines requires a reliable design tool. In this context, the finite element (FE) method appears as a largely used technique for rotordynamics design. Nelson and MacVaugh (1976) were among the first researchers to include the effects of rotational inertia, gyroscopic moment, and axial force in the FE models. Before the FE method, the so-called transfer matrix method was used to determine the dynamic behavior of rotating machines considering the system as being continuous (Lallement, Lecoanet, and Steffen Jr, 1982). In this context, the modern rotating systems currently employed in various industrial sectors were developed, such as steam turbines, hydro power units, and aircraft engines. These machines present high associated costs and operate under great responsibility and some of them have already composite material components.Following the growing evolution of the materials used in rotating systems (i.e., materials associated with high performance and low weight), investigations on the dynamic behavior of composite shafts seems to be an important issue. Mazda Motor Corporation adopts hybrid glass and carbon fiber shafts in their cars since 1982. The use of this new technology aims at reducing weight of the rotating system, the cost of maintenance, noise, vibration level, and, at the same time, to increase efficiency as compared with the same compone...

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Section: Resultsmentioning

confidence: 73%

Section: T N N Q T Q T Q T Q T Q T Q T Q (10)mentioning

confidence: 99%

Section: Composite Hollow Shaftmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Analysis of the Dynamic Behavior of a Rotating Composite Hollow Shaft

Cavalini

Guimarães

Silva

et al. 2017

Lat. Am. j. solids struct.

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Dynamic analysis of nonlinear rotating composite shafts excited by non‐ideal energy source

Kafi

Hosseini

2019

Z Angew Math Mech

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In this article, nonlinear nonstationary vibration of a rotating composite shaft passing through critical speed excited by non-ideal energy source is investigated. Geometrical nonlinearity, gyroscopic effect, rotary inertia and coupling due to material anisotropy are considered, while shear deformation is neglected. By using Hamilton principle, axial-flexural-flexural-torsional-rotational equations of motion for a composite shaft with variable rotational speed are derived. External source is assumed as non-ideal that causes the interaction between external torque and vibrating system.To obtain the approximate analytical solution, perturbation theory (multiple scales method) is applied to reduce the equations in the neighborhood of the first critical speed. Although, the analysis is done for the first critical speed, one-mode discretization is not enough. Indeed, at least two modes is required to obtain accurate results.The effects of external damping, eccentricity, angle of fibers, resistive torque, nonlinear terms, and also the effect of the extensional-torsional coupling on occurrence of Sommerfeld effect are investigated. It is shown that nonlinearity and coupling possess significant effect on the prediction of Sommerfeld phenomenon. Moreover, as observed, with appropriate implementation of layup and stacking sequence, one can obtain the best performance for the nonstationary behavior of composite shaft. K E Y W O R D Scomposite rotor, multiple-scales method, non-ideal source, nonstationary motion, sommerfeld effect

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