Dynamics of a flexible rotating beam interacting with a flat rigid surface, part II: Numerical solution

Journal of Sound and Vibration

Volumn 194, Issue 5, 1996, Pages 671-683

  Hatman, V G ^a   Haque, I ^a   Bagchi, A ^a  

^a AMRL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ALGORITHMS; BRUSHES; COMPUTER SIMULATION; EQUATIONS OF MOTION; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; POLISHING; ROTATION; SPEED;

ANGULAR SPEED; BERNOULLI-EULER BEAM; CONSTRAINED MOTION; FLAT WORKPIECE; FLEXIBLE ROTATING BEAM; NORMAL CONTACT FORCE;

DYNAMICS;

EID: 0030214046     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0388     Document Type: Article

References (8)

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2. S. L. CAMPBELL 1987 SIAM Journal of Mathematical Analysis 18, 1101-1115. A general form for solvable linear time varying singular systems of differential equations.
3. L. R. PETZOLD, 1989 Computer Methods in Applied Mechanics and Engineering 75, 77-89. Recent developments in the numerical solution of differential/algebraic systems.
4. C. W. GEAR, B. LEIMKUHLER and G. K. GUPTA 1985 Journal of Computational and Applied Mathematics 12/13, 77-90. Automatic integration of Euler Lagrange equations with constraints.
5. A. S. YIGIT, A. G. ULSOY and R. A. SCOTT 1990 Journal of Vibration and Acoustics 112, 65-70. Dynamics of a radially rotating beam with impact, Part I: Theoretical and computational model.
6. A. S. YIGIT, A. G. ULSOY and R. A. SCOTT 1990 Journal of Vibration and Acoustics 112, 71-77. Dynamics of a radially rotating beam with impact, Part II: Experimental and simulation results.
7. J. BAUMGARTE 1976 Computational Mathematics and Applied Mechanical Engineering 1, 1-16. Stabilization of constraints and integrals of motion in dynamical systems.
8. U. M. ASCHER and L. R. PETZOLD 1993 SIAM Journal of Scientific Computing 14, 95-120. Stability of computational methods for constrained dynamics systems.