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Keywords: Runge-Kutta methods
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Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Mech. Des. December 2003, 125(4): 840–845.
Published Online: January 22, 2004
.... The kinematics of the mechanism are then analyzed using the vector-loop method. Subsequently, the equations of motion are derived with the Lagrange equation and solved by the Runge-Kutta method. The duration of individual operation, and hence the total duration to complete the full cycle of the mechanism has...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Mech. Des. December 2002, 124(4): 633–641.
Published Online: November 26, 2002
... the coefficients of the position and velocity terms. Improper selection of these coefficients can lead to erroneous results. In this study, stability analysis methods in digital control theory are used to solve this problem. Correct choice of the coefficients for the Runge-Kutta method is found. Contributed...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Mech. Des. June 2001, 123(2): 272–281.
Published Online: March 1, 1999
... LSODAR, the Euler and fourth order Runge-Kutta methods. The difficulty to integrate this system is revealed to be the result of many highly oscillatory forces of large magnitude acting on many bodies simultaneously. Constraint compliance is analyzed for the three different integration methods...