An adaptive time integration method is developed for the index-3 differential-algebraic equations (DAEs) of multibody systems to improve the computational efficiency as well as the accuracy of the results. Based on the modified general-α method, the adaptive time integration is presented. At each discrete time interval, the time step size is changed through Richardson extrapolation with definable computation accuracy. A rotary rod slider system is used to validate the presented adaptive time integration. The accuracy and efficiency are determined by the expected order of the accuracy in Richardson extrapolation.
Adaptive Time Integration Method for DAEs of Multibody Systems
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Ding, J, & Pan, Z. "Adaptive Time Integration Method for DAEs of Multibody Systems." Proceedings of the ASME 2012 International Mechanical Engineering Congress and Exposition. Volume 4: Dynamics, Control and Uncertainty, Parts A and B. Houston, Texas, USA. November 9–15, 2012. pp. 1089-1092. ASME. https://doi.org/10.1115/IMECE2012-87049
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