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A Study of the Large Oscillations of the Thermodynamic Pendullum by the Method of Cubication

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Thermodynamic Optimization of Complex Energy Systems

Part of the book series: NATO Science Series ((ASHT,volume 69))

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Abstract

Study of mechanically oscillating thermodynamic systems (thermodynamic pendullums or oscillators) has been neglected for a long time, partly because no exact analytic solution of the corresponding system of differential equations modeling the processes is known [I], and partly because of lack of practical interest. During the last two decades, space, industrial and domestic applications of free piston thermal machines (FPTMs) and progress in numerical methods have stimulated scientific interest in this field since the thermodynamic pendullum represents an appropriate physical model to study FPTMs functioning.

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References

  1. Minorsky N. (1947) Introduction to Non-Linear Mechanic Edwards Brothers. Inc. Ann Arbor, MI.

    Google Scholar 

  2. Keller J. U. (1977) Thermodynamic.der Irreversiblen Prozesse. Walter de Gruyter & Co. New York

    Google Scholar 

  3. Brening W. (1989) Statistical Theory of Heat. Nonequilibrium Phenomena Springer-Verlag. Heidelberg

    Google Scholar 

  4. Wargitsch C. and Hiibler A. (1995) Resonances of non-linear oscillators. Physical Review E 51, 1508–1519

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  5. Yuste B. S. (1992) Cubication of non-linear oscillators using the principle of harmonic balance. Int J. Non-Linear Mechanics, 27, 347–356

    Article  MATH  Google Scholar 

  6. Salvadori M. G. and Schwarz R. J. (1956) Differential Equations in Engineering Problems Englewood Cliffs. Prentice-Hall, Inc.

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  7. Petrescu S., Stanescu G., and Iordache R. (1993) Study of reversible thermodynamicpendullum in the small oscillations hypothesis, Energetica Review 41, 66–70, Bucharest

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  8. Petrescu S. and Harman C. M. (1994) The connection between the first and second laws of thermodynamics for processes with finite speed. A direct method for approaching and optimization of irreversible processes. Journal of Heat Transfer Society of Japan 33, 60–67

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  9. Losch F. (1960) Tables of Higher Functions McGraw-Hill Book Company, Inc., New York

    Google Scholar 

  10. Handbook of Tables for Mathematics (1975), CRC Press, Inc., Cleveland, Ohio

    Google Scholar 

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© 1999 Springer Science+Business Media Dordrecht

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Stanescu, G. (1999). A Study of the Large Oscillations of the Thermodynamic Pendullum by the Method of Cubication. In: Bejan, A., Mamut, E. (eds) Thermodynamic Optimization of Complex Energy Systems. NATO Science Series, vol 69. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4685-2_34

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  • DOI: https://doi.org/10.1007/978-94-011-4685-2_34

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-5726-1

  • Online ISBN: 978-94-011-4685-2

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