Open Access Open Access  Restricted Access Subscription Access

Stability and Vibration Analyses of an Internally Damped Tapered Composite Driveshaft Using the Finite Element Method

MOHSEN NAJAFI, RAJAMOHAN GANESAN

Abstract


The present study considers the linear vibration and stability analyses of an internally damped rotating tapered composite shaft supported on rolling bearings. The Timoshenko beam theory is utilized to model the tapered drive-shaft based on Equivalent Single Layer Theory (ESLT). The ESLT considers a laminated driveshaft that consists of several lamina with different fiber orientations. Since the bearings are considered as rolling element bearings, the bearings stiffnesses are modeled using linear translational springs and dampers. The equations of motion are derived by applying Lagrange’s equation, including the hysteretic internal damping of composite material, and then finite element formulation is utilized to solve the equations. The effects of various system parameters on the natural frequencies and instability threshold are investigated. An extensive parametric study has been carried out to determine the effects of various system parameters including hysteresis internal damping, fiber orientation, stacking sequence, taper angle, rotational velocity, and bearings stiffness and damping on the natural frequencies, critical speeds, and instability thresholds of internally damped tapered composite drive-shafts. Furthermore, Campbell and critical speed map diagrams are depicted to present the effects of rotational velocity and bearings stiffness on natural frequencies and critical speeds. It is shown that the stability of the driveshaft is enhanced by increasing the damping of the bearings, whereas increasing the internal damping of the composite driveshaft may reduce the instability threshold.


DOI
10.12783/asc36/35794

Full Text:

PDF

References


H. L. Wettergren and K.-O. Olsson, “DYNAMIC INSTABILITY OF A ROTATING ASYMMETRIC SHAFT

WITH INTERNAL VISCOUS DAMPING SUPPORTED IN ANISOTROPIC BEARINGS,†Journal of Sound

and Vibration, vol. 195, no. 1, pp. 75–84, Aug. 1996, doi: 10.1006/jsvi.1996.0404.

J. C. Pereira and M. E. Silveira, “EVALUATION AND OPTIMIZATION OF THE INSTABILITY REGIONS

ON ROTORS IN WOUNDING SHAFT,†presented at the II Congresso Nacional de Engenharia Mecânica.,

João Pessoa, 2002.

R. Chandra, S. P. Singh, and K. Gupta, “Damping studies in fiber-reinforced composites – a review,â€

Composite Structures, vol. 46, no. 1, pp. 41–51, Sep. 1999, doi: 10.1016/S0263-8223(99)00041-0.

S. Ben Arab, J. D. Rodrigues, S. Bouaziz, and M. Haddar, “Stability analysis of internally damped rotating

composite shafts using a finite element formulation,†Comptes Rendus Mécanique, vol. 346, no. 4, pp. 291–

, Apr. 2018, doi: 10.1016/j.crme.2018.01.002.

W. R. D. P. Mendonça, E. C. D. Medeiros, A. L. R. Pereira, and M. H. Mathias, “The dynamic analysis of

rotors mounted on composite shafts with internal damping,†Composite Structures, vol. 167, pp. 50–62, May

, doi: 10.1016/j.compstruct.2017.01.078.

E. Krämer, “Internal Damping,†in Dynamics of Rotors and Foundations, Berlin, Heidelberg: Springer Berlin

Heidelberg, 1993, pp. 169–190. doi: 10.1007/978-3-662-02798-1_12.

L.-W. Chen and W.-K. Peng, “DYNAMIC STABILITY OF ROTATING COMPOSITE SHAFTS UNDER

PERIODIC AXIAL COMPRESSIVE LOADS,†Journal of Sound and Vibration, vol. 212, no. 2, pp. 215–230,

Apr. 1998, doi: 10.1006/jsvi.1997.1405.

G. Genta, “On a Persistent Misunderstanding of the Role of Hysteretic Damping in Rotordynamics,†Journal of

Vibration and Acoustics, vol. 126, no. 3, pp. 459–461, Jul. 2004, doi: 10.1115/1.1759694.

O. Montagnier and Ch. Hochard, “Dynamic instability of supercritical driveshafts mounted on dissipative

supports—Effects of viscous and hysteretic internal damping,†Journal of Sound and Vibration, vol. 305, no. 3,

pp. 378–400, Aug. 2007, doi: 10.1016/j.jsv.2007.03.061.

V. Alwan, A. Gupta, A. Sekhar, and R. Velmurugan, “Dynamic analysis of shafts of composite materials,â€

Journal of Reinforced Plastics and Composites, vol. 29, no. 22, pp. 3364–3379, Nov. 2010, doi:

1177/0731684410371404.

A. Gupta, A. S. Sekhar, and V. Ramachandran, “Damping estimation and dynamic analysis of a composite

shaft - Rotor system,†16th International Congress on Sound and Vibration 2009, ICSV 2009, vol. 6, pp. 3513–

, Jan. 2009.

G. Jacquet-Richardet, E. Chatelet, and T. Nouri Baranger, “Rotating Internal Damping in the Case of

Composite Shafts,†vol. 1011, 2011, pp. 125–134. doi: 10.1007/978-94-007-0020-8_11.

R. Sino, T. N. Baranger, E. Chatelet, and G. Jacquet, “Dynamic analysis of a rotating composite shaft,â€

Composites Science and Technology, vol. 68, no. 2, pp. 337–345, Feb. 2008, doi:

1016/j.compscitech.2007.06.019.

R. Yongsheng, Z. Xingqi, L. Yanghang, and C. Xiulong, “Vibration and Instability of Rotating Composite

Thin-Walled Shafts with Internal Damping,†Shock and Vibration, vol. 2014, p. 123271, Aug. 2014, doi:

1155/2014/123271.

L.-W. Chen and D.-M. Ku, “Dynamic stability analysis of a rotating shaft by the finite element method,â€

Journal of Sound and Vibration, vol. 143, no. 1, pp. 143–151, Nov. 1990, doi: 10.1016/0022-460X(90)90573-I.

J. N. Reddy, Mechanics of laminated composite plates : theory and analysis. Boca Raton: CRC Press, 1997.

Z. Friedman and J. B. Kosmatka, “An improved two-node timoshenko beam finite element,†Computers &

Structures, vol. 47, no. 3, pp. 473–481, May 1993, doi: 10.1016/0045-7949(93)90243-7.


Refbacks

  • There are currently no refbacks.