Dynamic systems with a finite degrees of freedom number

• Autorzy: Ładziński R.

Identyfikatory

DOI

10.2478/acsc-2014-0013

• Języki publikacji: EN

Abstrakty

EN

Taking as a starting point the law of conservation of the total energy of the system, and introducing two basic state functions - the Lagrangian and the Rayleigh function, the general form of the equation of motion for any dynamic system with a finite number of degrees of freedom is derived. The theory is illustrated by considering the rotating - type electromechanical energy converter with six degrees of freedom being the model of all essentially important types of DC and AC machines, including rotating power amplifiers, induction - and synchronous type motors - all of them discussed from both, the steady-state and the transient point of view. In the next part of the paper there is described a simple electric circuit with its model characterized by the holonomic constraints of the velocity-type. Finally, there is presented the kinematics and dynamics of the interesting mechanical system - the gyroscope placed on the rotating Earth.

Słowa kluczowe

EN

analytical dynamics; electromechanical systems; circuit theory

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2014
• Tom: Vol. 24, no. 2
• Strony: 207--234
• Opis fizyczny: Bibliogr. 3 poz., rys., wzory

Twórcy

autor

Ładziński R.

• Warsaw University of Technology

Bibliografia

• [1] S. Banach: Mechanics.Warszawa - Wroclaw Monografie Matematyczne, XXIV 1951.
• [2] D. C. White and H. H. Woodson: Electromechanical Energy Conversion. J.Wiley & Sons, New York, 1959.
• [3] L. D. Landau, E. M. Lifshitz: Mechanics. London, Pergamon Press, 1960