Adequate Theory of Vertical Motion of a Mass-Elastic System

Pluta, Zdzisław; Hryniewicz, Tadeusz

doi:10.18052/www.scipress.com/ILCPA.11.116

ILCPA > ILCPA Volume 11 > Adequate Theory of Vertical Motion of a...

< Back to Volume

Adequate Theory of Vertical Motion of a Mass-Elastic System

Full Text PDF

Abstract:

The paper covers an adequate theory on vertical motion of the mass-elastic system. This system is an oscillator with the motion being a free harmonic motion. The first extended link of the consideration presents a critical analysis of the existent knowledge referred to this subject. Then the energetic states of the oscillator have been determined. Next the force characteristics of the free harmonic motion of the oscillator are presented. A general source equation of the path/way length and the resulting detailed forms, signalizing extensive possibilities to build up the characteristics, have been presented. Finally the connections between the characteristics of real and simulative motions were derived. It should be added that this first mentioned motion is the subject of adequate description presented here. The simulated motion is referred to the existent classical theory which has been subjected under a critical consideration.

Info:

Periodical:

International Letters of Chemistry, Physics and Astronomy (Volume 11)

Pages:

116-136

DOI:

https://doi.org/10.18052/www.scipress.com/ILCPA.11.116

Citation:

Z. Pluta and T. Hryniewicz, "Adequate Theory of Vertical Motion of a Mass-Elastic System", International Letters of Chemistry, Physics and Astronomy, Vol. 11, pp. 116-136, 2013

Online since:

April 2013

Authors:

Zdzisław Pluta, Tadeusz Hryniewicz

Keywords:

Equation of Path/Way Length, Force Characteristics, Potential Field, Ree Harmonic Oscillator Motion, Theory of Oscillation Motion, Time Constant, Vertical Mass-Elastic System

Export:

RIS, BibTeX, Text

Distribution:

Open Access

This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

J. R. Taylor, Classical mechanics (in Polish), Vol. 1 and 2 (transl. from English), 1 st ed. by PWN SA, Warszawa (2006).

S. Ziemba, Vibration analysis (in Polish), ed. by PWN, Warszawa (1957).

K. Piszczek, J. Walczak, Vibrations in machine building (in Polish), 2nd ed. by PWN, Warszawa-Kraków (1967).

Z. Osiński, Theory of vibrations (in Polish), ed. by PWN, Warszawa (1978).

Dąbrowski Z., Przegląd Mechaniczny 11 (2007) 15-18.

A. Okniński, B. Radziszewski, Przegląd Mechaniczny 1 (2009) 32-36.

M. di Bernardo, C. J. Budd, A. R. Champneys, P. Kowalczyk, Piecewise-Smooth Dynamical Systems. Theory and Applications, Springer-Verlag, Berlin (2008).

M. Mita, M. Arai, S. Tensaka, D. Kobayashi, H. Fujita, IEEE Journal of Microelectromechanical Systems. 12(1) (2003) 37-41.

A. Okniński, B. Radziszewski, Stability and bifurcations in certain systems with impacts, Proc. 8th Conference on Dynamical Systems Theory and Application, Vol. 1, 2003, pp.387-394.

A. Grządziela, Przegląd Mechaniczny 4 (2009) 17-20.

Zdzisław Pluta, Tadeusz Hryniewicz, Intern. J. Adv. Mater. Technol. 62(5) (2012) 529-542, DOI: 10. 1007/s00170-011-3813-5.

Zdzisław Pluta, Tadeusz Hryniewicz, Journal of Modern Physics 3(7) (2012) 625-635; DOI: 10. 4236/jmp. 2012. 37086.

Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 2 (2012) 28-34.

Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 3 (2012) 1-10.

Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 3 (2012) 11-23.

Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 4 (2012) 1-7.

Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 4 (2012) 8-16.

Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 5 (2012) 35-45.

Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 3 (2013) 67-84.

Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 3 (2013) 85-100.

Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 4 (2013) 56-72.

Show More Hide

Cited By:

This article has no citations.