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Keywords: differential equations
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Journal Articles
Article Type: Research Papers
J. Mech. Des. November 2010, 132(11): 111004.
Published Online: October 22, 2010
... of the gear surface, both on the active involute flank and in the fillet region. These would be of great interest when designing the gears to perform in a controlled way. 30 04 2009 21 09 2010 22 10 2010 22 10 2010 cutting cutting tools differential equations gear cutting...
Journal Articles
Article Type: Research Papers
J. Mech. Des. July 2006, 128(4): 719–728.
Published Online: October 14, 2005
... static problems, we show that the propagation of displacements during the calculation process itself reveals the kinematics of the structure. The method is slower than approaches based on solving simultaneous differential equations of motion, but provides several advantages: It achieves a higher level...
Journal Articles
Article Type: Technical Papers
J. Mech. Des. September 2005, 127(5): 901–909.
Published Online: October 13, 2004
.... The direct and inverse kinematics problem of this WMR has been solved earlier and it was shown by simulation that such a WMR can travel on uneven terrain without slip. In this paper, we derive a set of 27 ordinary differential equations (ODE’s) which form the dynamic model of the three-wheeled WMR...
Journal Articles
Article Type: Article
J. Mech. Des. May 2005, 127(3): 493–498.
Published Online: June 17, 2004
... by numerically solving the constraint equations and the forces produced by the lubricant simultaneously with the differential equations of motion and a set of initial conditions numerically. The results are compared with the previous studies performed on the same mechanism as well a dry clearance joint...
Journal Articles
Article Type: Technical Papers
J. Mech. Des. March 2004, 126(2): 341–350.
Published Online: May 5, 2004
... (ordinary differential equation) formulations obtained by applying the coordinate partitioning method to these both coordinate types. On this background a novel efficient approach to the determination of joint reactions is presented, naturally associated with the reduced-dimension formulations of mechanism...
Journal Articles
Article Type: Technical Papers
J. Mech. Des. March 2003, 125(1): 143–149.
Published Online: March 21, 2003
.... , 1995 , “ General Formulation in Rigid Multibody Dynamics ,” Int. J. Numer. Methods Eng. 38 ( 12 ), pp. 1985 – 2016 . Gear, W. C., 1971, Numerical Initial Value Problems in Ordinary Differential Equations , Prentice-Hall, Englewood Cliffs, NJ. Gear , W. C. , 1971 , “ Simultaneous...
Journal Articles
Article Type: Technical Papers
J. Mech. Des. December 2000, 122(4): 575–582.
Published Online: December 1, 1998
...Radu Serban; Edward J. Haug Models of the dynamics of multibody systems generally result in a set of differential-algebraic equations (DAE). State-space methods for solving the DAE of motion are based on reduction of the DAE to ordinary differential equations (ODE), by means of local...