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Modeling of Mechanical Oscillatory Systems with One Degree of Freedom

  • Kirill Rozhdestvensky
  • Vladimir Ryzhov
  • Tatiana Fedorova
  • Kirill Safronov
  • Nikita Tryaskin
  • Shaharin Anwar SulaimanEmail author
  • Mark Ovinis
  • Suhaimi Hassan
Chapter
  • 16 Downloads

Abstract

In this chapter, the reader is invited to study methods of modeling single component, multicomponent, and hybrid systems using two alternative approaches: developing computer models directly with Modelica language and using component modeling technologies with the application of the standard Modelica libraries. The following mechanical oscillatory systems with one degree of freedom are considered: a mathematical pendulum, a Galileo’s pendulum, and an elastic pendulum. Illustrative examples of designing dynamic models are given with increasing their complexity.

References

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    N.V. Butenin, Elements of the Theory of Nonlinear Oscillations. – Blaisdell Publishing Company (1965)Google Scholar
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    A.A. Yablonskij, S.S. Norejko, Kurs teorii kolebanij. – Moscow, Gosudarstvennoe izdatelstvo «Vysshaya shkola» (1961)Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Kirill Rozhdestvensky
    • 1
  • Vladimir Ryzhov
    • 2
  • Tatiana Fedorova
    • 3
  • Kirill Safronov
    • 4
  • Nikita Tryaskin
    • 5
  • Shaharin Anwar Sulaiman
    • 6
    Email author
  • Mark Ovinis
    • 7
  • Suhaimi Hassan
    • 8
  1. 1.Department of Applied Mathematics and Mathematical ModelingSt. Petersburg State Marine Technical University (SMTU)Saint PetersburgRussia
  2. 2.Department of Applied Mathematics and Mathematical ModelingSt. Petersburg State Marine Technical University (SMTU)Saint PetersburgRussia
  3. 3.Department of Applied Mathematics and Mathematical ModelingSt. Petersburg State Marine Technical University (SMTU)Saint PetersburgRussia
  4. 4.Department of Applied Mathematics and Mathematical ModelingSt. Petersburg State Marine Technical University (SMTU)Saint PetersburgRussia
  5. 5.Department of Hydromechanics and Marine AcousticsSt. Petersburg State Marine Technical University (SMTU)Saint PetersburgRussia
  6. 6.Department of Mechanical EngineeringUniversiti Teknologi PETRONASSeri IskandarMalaysia
  7. 7.Department of Mechanical EngineeringUniversiti Teknologi PETRONASSeri IskandarMalaysia
  8. 8.Department of Mechanical EngineeringUniversiti Teknologi PETRONASSeri IskandarMalaysia

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