978-620-0-08354-8

Monomial matrices. Application to the programmed transfer and rotation

Part 3

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Summary:

A special mathematical apparatus of monomial matrices, is applied to the simulation of programmed transfer and rotation of a high-speed vehicle in space. Programmed transfer is described by a vector-hodograph in the class of spiral-helix trajectories. A method for constructing the hodograph of programmed motion is proposed. The kinetics of the programmed motion of a transport vehicle is considered in the forms of the Newton equations, Euler equations, Euler-Lagrange differential equations and is represented by quaternion matrices. The principle of kinetostatics is applied to the determination the resultant vector of driving forces and the resultant moment of force providing programmed transfer and rotation. A cascade method has been developed for the equivalent distribution of the resultant vector of driving forces and the resultant moment of force over the reference points, establishing the necessary reactivity of the constraint. The obtained analytical results are informative, adapted to computer technologies, intended for use in computational experiments to solve engineering problems of dynamic design of high-speed carriages of transport.

Author:

Viktor Kravets

Biographie:

Victor Kravets – Prof., Dr.-ing., National Technical University “Dnipro Polytechnic”, Dnipro, Ukraine. Vladimir Kravets – Prof., PhD, National University of Railway Transport, Dnipro, Ukraine. Olexiy Burov – Jack Baskin School of Engineering, University of California-Santa Cruz, CA, USA.

Author:

Vladimir Kravets

Biographie:

Author:

Olexiy Burov

Biographie:

Number of Pages:

132

Book language:

English

Published On:

2019-05-28

ISBN:

978-620-0-08354-8

Publishing House:

LAP LAMBERT Academic Publishing

Keywords:

vector-hodograph, spiral-helix trajectories, kinematics, kinetics, quaternion matrices, Frenet–Serret formulas, Darboux vector

Product category:

MATHEMATICS / General