Mechanical homogeneous continuous dynamical systems holor algebra - steady-state alternating velocity analysis

• Autorzy: Fijałkowski B.

Identyfikatory

DOI

10.1515/ijame-2016-0047

• Języki publikacji: EN

Abstrakty

EN

In this article, a new mathematical representation of the sinusoidal alternating velocity, force and power by means of some complex quantities, termed ‘holors’ is proposed. The word holor is a term to describe a mathematical entity that is made up of one or more independent quantities, and includes complex numbers, scalars, vectors, matrices, tensors and other hypernumbers. Holors, thus defined, have been known for centuries but each has been developed more or less independently, accompanied by separate nomenclature and theory.

Słowa kluczowe

EN

force; velocity; power; holor

PL

siła; prędkość; moc

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2016
• Tom: Vol. 21, no. 4
• Strony: 805--826
• Opis fizyczny: Bibliogr. 9 poz., rys., wykr.

Twórcy

autor

Fijałkowski B.

• Institute of Technology, State Higher Vocational School in Nowy Sącz, 33-300 Nowy Sącz, ul. Zamenhofa 1a, Poland

Bibliografia

• [1] H2WTech (2015): Voice Coil Actuators vs. Solenoids: What is Difference? – October 22, 2015 https://www.h2wtech.com/article/voice-coil-actuators-vs-solenoids.
• [2] Fijałkowski B. (1967): An application of the holor calculus in theory of alternating currents. – Przegląd Elektrotechniczny, Zeszyt 2, pp.47-52 (In Polish).
• [3] Fijalkowski B.T. (2016): Mechatronics: Towards a Unified Theory exploiting Dynamical Systems Approach and Theory of Holors. – Institute of Physics, IOP Publishing. Bristol, UK.
• [4] Moon P. and Spencer D.E. (1963): A New Mathematical Representation of Alternating Currents. – Tensor, No. 14, p.110.
• [5] Moon P. and Spencer D.E. (1966): Vectors. – D. van Nostrand Co., Princeton, N.Y.
• [6] Moon P.H. and Spencer D.E (2009): Theory of Holors. – Cambridge: Cambridge University Press.
• [7] Savant C.J. Jr. (1959): Basic Feedback Control System Design. – New York – Toronto – London: McGraw-Hill Book Company Inc.
• [8] Kron G. (1939): Tensor Analysis of Networks. – Chapman and Hall Ltd.
• [9] Gołąb St. (1965): Rachunek tensorowy (Tensor Calculus). – Warsaw: PWN (In Polish).