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Modeling of Mechanical Oscillatory Systems with One Degree of Freedom

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Computer Modeling and Simulation of Dynamic Systems Using Wolfram SystemModeler

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.

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References

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Authors and Affiliations

  1. Department of Applied Mathematics and Mathematical Modeling, St. Petersburg State Marine Technical University (SMTU), Saint Petersburg, Russia

    Kirill Rozhdestvensky

  2. Department of Applied Mathematics and Mathematical Modeling, St. Petersburg State Marine Technical University (SMTU), Saint Petersburg, Russia

    Vladimir Ryzhov

  3. Department of Applied Mathematics and Mathematical Modeling, St. Petersburg State Marine Technical University (SMTU), Saint Petersburg, Russia

    Tatiana Fedorova

  4. Department of Applied Mathematics and Mathematical Modeling, St. Petersburg State Marine Technical University (SMTU), Saint Petersburg, Russia

    Kirill Safronov

  5. Department of Hydromechanics and Marine Acoustics, St. Petersburg State Marine Technical University (SMTU), Saint Petersburg, Russia

    Nikita Tryaskin

  6. Department of Mechanical Engineering, Universiti Teknologi PETRONAS, Seri Iskandar, Malaysia

    Shaharin Anwar Sulaiman

  7. Department of Mechanical Engineering, Universiti Teknologi PETRONAS, Seri Iskandar, Malaysia

    Mark Ovinis

  8. Department of Mechanical Engineering, Universiti Teknologi PETRONAS, Seri Iskandar, Malaysia

    Suhaimi Hassan

Authors
  1. Kirill Rozhdestvensky
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  2. Vladimir Ryzhov
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  3. Tatiana Fedorova
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  4. Kirill Safronov
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  5. Nikita Tryaskin
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  6. Shaharin Anwar Sulaiman
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  7. Mark Ovinis
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  8. Suhaimi Hassan
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Corresponding author

Correspondence to Shaharin Anwar Sulaiman .

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Rozhdestvensky, K. et al. (2020). Modeling of Mechanical Oscillatory Systems with One Degree of Freedom. In: Computer Modeling and Simulation of Dynamic Systems Using Wolfram SystemModeler. Springer, Singapore. https://doi.org/10.1007/978-981-15-2803-3_4

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