A Rosenbrock-Nystrom state space implicit approach for the dynamic analysis of mechanical systems: I—theoretical formulation
نویسندگان
چکیده
منابع مشابه
A Rosenbrock–Nystrom state space implicit approach for the dynamic analysis of mechanical systems: I—theoretical formulation
When performing dynamic analysis of a constrained mechanical system, a set of index three differential-algebraic equations (DAE) describes the time evolution of the system. The paper presents a state space based method for the numerical solution of the resulting DAE. A subset of so-called independent generalized coordinates, equal in number to the number of degrees of freedom of the mechanical ...
متن کاملA Rosenbrock-Nystrom State Space Implicit Approach for the Dynamic Analysis of Mechanical Systems: II { The Method and Numerical Examples
When performing dynamic analysis of a constrained mechanical system, a set of index 3 Di erential-Algebraic Equations (DAE) describes the time evolution of the system. In the companion paper [4] we developed a state-space based method for the numerical solution of the resulting DAE. The numerical method uses a linearly-implicit time stepping formula of Rosenbrock type, which is suitable for med...
متن کاملA Rosenbrock–Nystrom state space implicit approach for the dynamic analysis of mechanical systems: II—method and numerical examples
When performing dynamic analysis of a constrained mechanical system, a set of index three differential-algebraic equations (DAE) describes the time evolution of the system. A state–space based method for the numerical solution of the resulting DAE has also been developed. The numerical method uses a linearly implicit time stepping formula of the Rosenbrock type, which is suitable for medium acc...
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ژورنال
عنوان ژورنال: Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics
سال: 2003
ISSN: 1464-4193,2041-3068
DOI: 10.1243/146441903322683013