Mentioned in

References in periodicals archive

where [v.sub.ix], [v.sub.iy], and [[omega].sub.i] are generalized velocity of point [O'.sub.i] in Cartesian coordinate system and [v'.sub.ix], [v'.sub.iy], and [[omega]'.sub.i] are generalized velocity of point [O'.sub.i] in x' O' y' coordinate system.

Motion Planning for Omnidirectional Wheeled Mobile Robot by Potential Field Method

The partial derivative of the kinetic energy with respect to the first generalized velocity (d[x.sub.1]/dt) yields

Research into 2D Dynamics and Control of Small Oscillations of a Cross-Beam during Transportation by Two Overhead Cranes

Generalized coordinates, generalized velocity, partial velocity.

Dynamic modeling of the line throwing rocket with flight motion based on Kane's method

Amjadian, "A generalized velocity field for plane strain extrusion through arbitrarily curved dies," Journal of Manufacturing Science and Engineering, Transactions of the ASME, vol.

An accurate upper bound solution for plane strain extrusion through a wedge-shaped die

where [q.sub.j] is defined to be the time derivative of [q.sub.j], it is the j-th generalized velocity, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is the partial velocity of the i-th particle to the j-th generalized velocity.

Dynamic modeling of the line throwing rocket with flight motion based on Kane's method

Formulas (23) can be used to obtain the generalized displacement [D.sub.0] and the generalized velocity [[??].sub.0], which are substituted into Formula (20) to obtain the generalized initial acceleration:

Numerical manifold method for the forced vibration of thin plates during bending