Extrapolation integrators for constrained multibody systems
作者： Ch. Lubich
DOI: 10.1016/0899-8248(91)90008-I
关键词: Extrapolation 、 Integrator 、 Nonlinear system 、 Backward differentiation formula 、 Mathematics 、 Mechanical system 、 Equations of motion 、 Linear system 、 Differential (mathematics) 、 Mathematical analysis
摘要: Abstract Extrapolation methods using the structure in equations of motion multibody systems are given this article. The explicit differential part and implicit nonlinear constraints. They admit a robust formulation which only linear solved most time. Related methods, linearly also part, developed for stiff mechanical systems. Numerical results extrapolation code MEXX included.
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sci-hub.se 参考文章(35)
Eberhard Griepentrog, Roswitha März, Differential-algebraic equations and their numerical treatment Teubner. ,(1986)
Edward J. Haug, Computer aided kinematics and dynamics of mechanical systems ,(1989)
Ernst Hairer, Gerhard Wanner, Solving Ordinary Differential Equations II: Stiff and Differential - Algebraic Problems ,(1991)
R. Schwertassek, W. Rulka, Aspects of Efficient and Reliable Multibody System Simulation Springer, Berlin, Heidelberg. pp. 55- 96 ,(1990) , 10.1007/978-3-642-76159-1_4
Werner C. Rheinboldt, On a Moving-Frame Algorithm and the Triangulation of Equilibrium Manifolds Bifurcation: Analysis, Algorithms, Applications. pp. 256- 267 ,(1987) , 10.1007/978-3-0348-7241-6_27
Christian Lubich, Ernst Hairer, Michel Roche, The numerical solution of differential-algebraic systems by Runge-Kutta methods ,(1989)
Ben Leimkuhler, Sebastian Reich, Claus Führer, Edda Eich, Stabilization and projection methods for multibody dynamics CTIT technical reports series. ,(1990)
B. Simeon, C. Führer, P. Rentrop, Differential-algebraic Equations in Vehicle System Dynamics ,(1991)
Dae-Sung Bae, Edward J. Haug, A Recursive Formulation for Constrained Mechanical System Dynamics: Part II. Closed Loop Systems Mechanics of Structures and Machines. ,vol. 15, pp. 481- 506 ,(1987) , 10.1080/08905458708905130
ALEXANDER OSTERMANN, A Half-Explicit Extrapolation Method for Differential-Algebraic Systems of Indix 3 Ima Journal of Numerical Analysis. ,vol. 10, pp. 171- 180 ,(1990) , 10.1093/IMANUM/10.2.171