Dynamic Analysis of Constrained Mechanical System Moving on a Flexible Beam Structure(II) : Application

유연한 보 구조물 위를 이동하는 구속 기계계의 동력학 해석(II) : 응용

  • Park, Chan-Jong (Dept.of Mechanical Engineering, Graduate School of Ajou University) ;
  • Park, Tae-Won ( Dept.of Mechanical Industry Engineering, Ajou University)
  • 박찬종 (아주대 기계공학과 대학원) ;
  • 박태원 (아주대 기계 및 산업공학부)
  • Published : 2000.11.01

Abstract

Recently, it becomes a very important issue to consider the mechanical systems such as high-speed vehicle and railway train moving on a flexible beam structure. Using general approach proposed in the first part of this paper, it tis possible to predict planar motion of constrained mechanical system and elastic structure with various kinds of foundation supporting condition. Combined differential-algebraic equations of motion derived from both multibody dynamics theory and Finite Element Method can be analyzed numerically using generalized coordinate partitioning algorithm. To verify the validity of this approach, results from simply supported elastic beam subjected to a moving load are compared with exact solution from a reference. Finally, parameter study is conducted for a moving vehicle model on a simply supported 3-span bridge.

Keywords

References

  1. 박찬종, 박태원, '유연한 보 구조물 위를 이동하는 구속 기계계의 동력학 해석(I) : 일반적인 접근법', 한국정밀공학회지, 제17권, 제11호, pp. 165-175,2000
  2. Gear, C.W., Numerical Initial Value Problems in Ordinary Differential Equations, Prentice-Hall, 1971
  3. Wehage, R.A. and Haug, E.J., 'Generalized Coordinate Partitioning for Dimension Reduction in Analysis of Constrained Dynamics Systems,' Trans. ASME, J. of Mechanical Design, Vol. 104, pp. 247-256,1982
  4. Baumgarte, J., 'Stabilization of Constraints and Integrals of Motion,' Computer Methods in Applied Mechanics and Engineering, Vol. 1, pp. 1-6, 1972 https://doi.org/10.1016/0045-7825(72)90018-7
  5. Shampine, L.F. and Gordon, M.K., Computer Solutions of Ordinary Differential Equations : The Initial Value Problem, W. H. Freeman and Company, 1975
  6. Timoshenko, S., Young, D.H. and Weaver, W., Vibration Problems in Engineering, 4th edition, John Wiley & Sons, Inc., 1974