Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Solving Mechanical Systems with Nonholonomic Constraints by a Lie-Group Differential Algebraic Equations Method
A Lie-group differential algebraic equations (LGDAE) method, which is developed for solving differential-algebraic equations, is a simple and effective algorithm based on the Lie group and the Newton iterative scheme. This paper deepens the theoretical foundation of the LGDAE method and widens its practical applications to solve nonlinear mechanical systems with nonholonomic constraints. After obtaining the closed-form formulation of elements of a one-parameter group and refining the algorithm of the LGDAE method, this differential-algebraic split method is applied to solve nine problems of nonholonomic mechanics in order to evaluate its accuracy and efficiency. Numerical computations of the LGDAE method exhibit the preservation of the nonholonomic constraints with an error smaller than . Comparing the closed-form solutions demonstrates that the numerical results obtained are highly accurate, indicating that the present scheme is promising.
Solving Mechanical Systems with Nonholonomic Constraints by a Lie-Group Differential Algebraic Equations Method
A Lie-group differential algebraic equations (LGDAE) method, which is developed for solving differential-algebraic equations, is a simple and effective algorithm based on the Lie group and the Newton iterative scheme. This paper deepens the theoretical foundation of the LGDAE method and widens its practical applications to solve nonlinear mechanical systems with nonholonomic constraints. After obtaining the closed-form formulation of elements of a one-parameter group and refining the algorithm of the LGDAE method, this differential-algebraic split method is applied to solve nine problems of nonholonomic mechanics in order to evaluate its accuracy and efficiency. Numerical computations of the LGDAE method exhibit the preservation of the nonholonomic constraints with an error smaller than . Comparing the closed-form solutions demonstrates that the numerical results obtained are highly accurate, indicating that the present scheme is promising.
Solving Mechanical Systems with Nonholonomic Constraints by a Lie-Group Differential Algebraic Equations Method
Liu, Chein-Shan (Autor:in) / Chen, Wen (Autor:in) / Liu, Li-Wei (Autor:in)
29.06.2017
Aufsatz (Zeitschrift)
Elektronische Ressource
Unbekannt
| British Library Online Contents | 2009
Methods for Solving Algebraic Equations and Their Systems
| Springer Verlag | 2009
Maslov dequantization and the homotopy method for solving systems of nonlinear algebraic equations
| British Library Online Contents | 2008