BibTex RIS Cite

Flexural Vibrations of a Rotating Beam Subjected to Different Base Excitations

Year 2009, Volume: 22 Issue: 1, 33 - 40, 22.03.2010

Abstract

In this study, bending vibrations of a radially rotating beam with end mass subjected to different base excitations are investigated. Upon considering the assumption of an Euler-Bernoulli beam in addition to the effects of rotary inertia, end-mass, and axial force in association with axial foreshortening, the equations of motion are derived by using the Lagrangian’s approach. Due to difficulties in finding an analytical solution, the assumed modes method is utilized to obtain approximate solutions. Numerical solutions of the differential equations are presented for different base excitations.

 

Key Words: Rotating Beam, Base Excitation

 

References

  • Wright, A.D., Smith, C.E., Thresher, R.W., Wang, J.L.C., “Vibration modes of centrifugally stiffened beams”, Journal of Applied Mechanics, 49: 197-202 (1982).
  • Kojima, H., “Transient vibrations of a beam/mass system fixed to rotating body”, Journal of Sound and Vibration, 107(1): 149-154 (1986).
  • Kane, T.R., Ryan, R.R., “Dynamics of a cantilever beam attached to a moving base”, Journal of Guidance, 10(2): 139-151 (1987).
  • Yiğit, A., Scott, R.A., Ulsoy, A.G., “Flexural motion of a radially rotating beam attached to a rigid body”, Journal of Sound and Vibration, 121: 201-210 (1988).
  • Bauer, H.F., Eidel, W., “Vibration of a rotating uniform beam, part II: Orientation perpendicular to the axis of rotation”, Journal of Sound and Vibration, 122: 357-375 (1988).
  • Low, K.H., “Eigen-Analysis of a tip load beam attached to a rotating base”, The American Society of Mechanical Engineers, 89: WA/DSC- 3 (1989).
  • Gürgöze, M., “On the dynamical behavior of a rotating beam”, Journal of Sound and Vibration, 143: 356-363 (1990).
  • Kuo, Y.H., Wu, T.H., Lee, S.Y., “Bending vibrations of a rotating non-uniform beam with tip mass and an elastic restrained root”, Computers & Structures, 42: 229-236 (1992).
  • Boutaghou, Z.E., Erdman, A.G., Stolarski, H.K., “Dynamics of flexible beams and plates in large overall motions”, Journal of Applied Mechanics, 59: 991-999 (1992).
  • Subrahmanyam, K.B., Kaza, K.R.V., “Vibration and buckling of rotating, pretwisted, preconed beams including Coriolis effects”, Journal of Vibration, Acoustics, Stress and Reliability in Design, 108: 140-149 (1995).
  • Yoo, H.H., Shin, S.H., “Vibration analysis of rotating cantilever beams”, Journal of Sound and Vibration, 212: 807-828 (1998).
  • Al-Bedoor, B.O., “Dynamic model of coupled shaft torsional and blade bending deformations in rotors”, Comput. Methods Appl. Mech. Engrg., 169: 177-190 (1999).
  • Lee, H.P., “Effects of axial base excitations on the dynamic stability of spinning pre-twisted cantilever beam”, Journal of Sound and Vibration, 185(2): 265-278 (1995).
  • Tan, T.H., Lee, H.P., Leng, G.S.B., “Dynamic stability of radially rotating beam subjected to base excitation”, Comput. Methods Appl. Mech. Engrg., 146: 265-279 (1997).
  • Meirovitch, L., “Elements of Vibration Analysis” 2nd ed., McGraw-Hill, 58-63 (1986).
Year 2009, Volume: 22 Issue: 1, 33 - 40, 22.03.2010

Abstract

References

  • Wright, A.D., Smith, C.E., Thresher, R.W., Wang, J.L.C., “Vibration modes of centrifugally stiffened beams”, Journal of Applied Mechanics, 49: 197-202 (1982).
  • Kojima, H., “Transient vibrations of a beam/mass system fixed to rotating body”, Journal of Sound and Vibration, 107(1): 149-154 (1986).
  • Kane, T.R., Ryan, R.R., “Dynamics of a cantilever beam attached to a moving base”, Journal of Guidance, 10(2): 139-151 (1987).
  • Yiğit, A., Scott, R.A., Ulsoy, A.G., “Flexural motion of a radially rotating beam attached to a rigid body”, Journal of Sound and Vibration, 121: 201-210 (1988).
  • Bauer, H.F., Eidel, W., “Vibration of a rotating uniform beam, part II: Orientation perpendicular to the axis of rotation”, Journal of Sound and Vibration, 122: 357-375 (1988).
  • Low, K.H., “Eigen-Analysis of a tip load beam attached to a rotating base”, The American Society of Mechanical Engineers, 89: WA/DSC- 3 (1989).
  • Gürgöze, M., “On the dynamical behavior of a rotating beam”, Journal of Sound and Vibration, 143: 356-363 (1990).
  • Kuo, Y.H., Wu, T.H., Lee, S.Y., “Bending vibrations of a rotating non-uniform beam with tip mass and an elastic restrained root”, Computers & Structures, 42: 229-236 (1992).
  • Boutaghou, Z.E., Erdman, A.G., Stolarski, H.K., “Dynamics of flexible beams and plates in large overall motions”, Journal of Applied Mechanics, 59: 991-999 (1992).
  • Subrahmanyam, K.B., Kaza, K.R.V., “Vibration and buckling of rotating, pretwisted, preconed beams including Coriolis effects”, Journal of Vibration, Acoustics, Stress and Reliability in Design, 108: 140-149 (1995).
  • Yoo, H.H., Shin, S.H., “Vibration analysis of rotating cantilever beams”, Journal of Sound and Vibration, 212: 807-828 (1998).
  • Al-Bedoor, B.O., “Dynamic model of coupled shaft torsional and blade bending deformations in rotors”, Comput. Methods Appl. Mech. Engrg., 169: 177-190 (1999).
  • Lee, H.P., “Effects of axial base excitations on the dynamic stability of spinning pre-twisted cantilever beam”, Journal of Sound and Vibration, 185(2): 265-278 (1995).
  • Tan, T.H., Lee, H.P., Leng, G.S.B., “Dynamic stability of radially rotating beam subjected to base excitation”, Comput. Methods Appl. Mech. Engrg., 146: 265-279 (1997).
  • Meirovitch, L., “Elements of Vibration Analysis” 2nd ed., McGraw-Hill, 58-63 (1986).
There are 15 citations in total.

Details

Primary Language English
Journal Section Mechanical Engineering
Authors

Şefaatdin Yuksel This is me

Taylan Aksoy This is me

Publication Date March 22, 2010
Published in Issue Year 2009 Volume: 22 Issue: 1

Cite

APA Yuksel, Ş., & Aksoy, T. (2010). Flexural Vibrations of a Rotating Beam Subjected to Different Base Excitations. Gazi University Journal of Science, 22(1), 33-40.
AMA Yuksel Ş, Aksoy T. Flexural Vibrations of a Rotating Beam Subjected to Different Base Excitations. Gazi University Journal of Science. March 2010;22(1):33-40.
Chicago Yuksel, Şefaatdin, and Taylan Aksoy. “Flexural Vibrations of a Rotating Beam Subjected to Different Base Excitations”. Gazi University Journal of Science 22, no. 1 (March 2010): 33-40.
EndNote Yuksel Ş, Aksoy T (March 1, 2010) Flexural Vibrations of a Rotating Beam Subjected to Different Base Excitations. Gazi University Journal of Science 22 1 33–40.
IEEE Ş. Yuksel and T. Aksoy, “Flexural Vibrations of a Rotating Beam Subjected to Different Base Excitations”, Gazi University Journal of Science, vol. 22, no. 1, pp. 33–40, 2010.
ISNAD Yuksel, Şefaatdin - Aksoy, Taylan. “Flexural Vibrations of a Rotating Beam Subjected to Different Base Excitations”. Gazi University Journal of Science 22/1 (March 2010), 33-40.
JAMA Yuksel Ş, Aksoy T. Flexural Vibrations of a Rotating Beam Subjected to Different Base Excitations. Gazi University Journal of Science. 2010;22:33–40.
MLA Yuksel, Şefaatdin and Taylan Aksoy. “Flexural Vibrations of a Rotating Beam Subjected to Different Base Excitations”. Gazi University Journal of Science, vol. 22, no. 1, 2010, pp. 33-40.
Vancouver Yuksel Ş, Aksoy T. Flexural Vibrations of a Rotating Beam Subjected to Different Base Excitations. Gazi University Journal of Science. 2010;22(1):33-40.