Nonlinear dynamic model of an inextensible rotating flexible arm supported on flexible base

American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP

Volumn 426, Issue , 2000, Pages 193-198

  El Sinawi, A ^a   Hamdan, M N ^a   Al Bedoor, B O ^a  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DEFORMATION; EQUATIONS OF MOTION; KINETIC ENERGY; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR SYSTEMS; POTENTIAL ENERGY; ROTATING MACHINERY; TORQUE;

FLEXURAL DEFORMATIONS;

MECHANICAL ENGINEERING;

EID: 0242635663     PISSN: 0277027X     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (15)

1. L. Shilhansil 1958 Journal of Applied Mechanics 25, 28-30. Bending frequencies of a rotating cantilever beam.
2. D. Pruelli 1972, Journal of Applied Mechanics 39, 602-604. Natural bending frequency comparable to rotational frequency in rotating cantilever beam.
3. P. W. Likins 1973 AIAA Journal 11(9), xx.. Mathematical modeling of spinning elastic bodies.
4. K. Kaza and R. Kvaternik 1977 AIAA Journal 15 (6), 871-874. Non-linear flap-lag-axial equations of a rotating beam.
5. N. G. Stephens and P. J. Wang 1986 Journal of Applied Mechanics 53, 869-872. Stretching and bending of a rotating beam.
6. T. R. Kane, R. R. Ryan and A. K. Banerjee 1987 Journal of Guidance 10(2), 139-151. Dynamics of a cantilever beam attached to a moving base.
7. H. Baruh and S. K. Tadikonda 1989 Journal of Guidance 12, 659-671. Issues in the dynamics and control of flexible robot manipulators.
8. S. K. Tadikonda and H. T. Chang 1995 Journal of Vibrations and Acoustics 117, 452-461. On the geometric stiffness in flexible multibody dynamics.
9. A. S. Yigit, A. G. Ulsoy and R. A. Scott 1990 Trans. Of ASME Journal of Vibration and Acoustics 112, 65-70. Dynamics of a radially rotating beam with impact, Part 1: Theoretical and computational model.
10. Y. C. Pan, R. A. Scott and A. G. Ulsoy 1990 Trans. Of ASME Journal of Mechanical Design 112, 307-314. Dynamic modeling and simulation of flexible robots with prismatic joints.
11. H. El-Absy and A. A. Shabana 1997 Journal of Sound and Vibration 207(4), 465-496. Geometric stiffness and stability of rigid body modes.
12. B. O. Al-Bedoor 1999 Computer Methods in Applied Mechanics and Engineering 169, 177-190. Dynamic model of coupled shaft torsional and blade bending deformations in rotors.
13. B. O. Al-Bedoor and M. N. Hamdan 2000 Journal of Sound and Vibration. Geometrically non-linear dynamic model of a rotating flexible arm.
14. M. R. Crespo Da Silva and C. C. Glynn 1978 Journal of Structural Mechanics 6, 437-448. Non-linear-flexural-torsional dynamics of in-extensional beams, part 1: equations of motion.
15. L. L. Zavdoney and A. A. Nayfeh 1989 International Journal of Non-linear Mechanics 4, 105-125. The non-linear response of slender beam carrying a lumped mass to a principal parametric excitation.