Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Dynamics Analysis of a Multi-beam System Undergoing Overall Rigid Body Motion Employing Finite Element Method

유한요소법을 사용한 강체운동을 하는 다중보계의 동적 해석

  • Published : 2000.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

Equations of motion of a multi-beam system undergoing overall rigid body motion are derived by employing finite element method. An orientation angle is employed to allow the arbitrary orientation o f the beam element. Modal coordinate reduction technique, which has been successfully utilized in the conventional linear modeling method, is employed for the present modeling method to reduce the computational effort. Different from the conventional linear modeling method, the present modeling method captures the motion-induced stiffness variations which are important for the dynamic analysis of structures undergoing overall rigid body motion. The numerical results are compared to those of a commercial program to verify the reliability of the present method.

Keywords

References

  1. Ho, J., 1977, 'Direct Path Method for Flexible Multibody Spacecraft Dynamics,' J. of Spacecraft and Rockets, Vol. 14, pp. 102-110
  2. Bodley, C., Devers, A., Park, A. and Frisch, H., 1978, 'A Digital Computer Program for the Dynamic Interaction Simulation of Controls and Structure,' Vol. 1&2, NASA TP-1219
  3. Christensen, E. and Lee, S., 1986, 'Nonlinear Finite Element Modeling of the Dynamics of Unrestrained Flexible Structures,' Computers an Structures,Vol. 23, pp. 816-829 https://doi.org/10.1016/0045-7949(86)90251-8
  4. Simo, J. and Vu-Quoc, L., 1986, 'On the Dynamic of Flexible Beams under Large Overall Motions - the Plane Case : Part I and Part II,' Journal of Applied Mechanics, Vol. 53, pp. 849-863
  5. Kane, T., Ryan, R. and Banerjee, A., 1987, 'Dynamics of Cantilever Beam Attached to a Moving Base,' J. Guidance, Control, and Dynamics, Vol. 10, pp. 139-151
  6. Yoo, H.. Ryan, R. and Scott, R., 'Dynamics of Flexible Beams Undergoing Overall Motions,' Journal of Sound and Vibration,' Vol. 181, No. 2, pp. 261-278 https://doi.org/10.1006/jsvi.1995.0139
  7. Ryu, J., et al., 1994, 'A General Approach to Stress Stiffening Effects on Flexible Multibody Dynamic Systems,' Mechanics of Structure and Machines, Vol. 22, No. 2, pp. 157-180 https://doi.org/10.1080/08905459408905209
  8. Ryu. J.. et al., 1997, 'A Criterion in Inclusion of Stress Stiffening Effects in Flexible Multibody Dynamic System Simulation,' Computers and Structures, Vol. 62, No. 6, pp. 1035-1048 https://doi.org/10.1016/S0045-7949(96)00285-4
  9. Yoo, H. and Shin, S., 1998, 'Vibration Analysis of Rotating Cantilever Beams,' Journal of Sound and Vibration, Vol. 212, No. 5, pp. 807-828 https://doi.org/10.1006/jsvi.1997.1469
  10. Daryl L. Logan., 1997, A First Course in the Finite Element Method using Algor, PWS Publishing company
  11. Leonard Meirovitch, 1967, Analysis Methods in Vibrations, Macmillan Publishing Co., Inc.