The Mathematical Models of Mechanical and Electromechanical Systems Study via the Qualitative and Analytical Approach

The Mathematical Models of Mechanical and Electromechanical Systems Study via the Qualitative and Analytical Approach

The mathematical models of the transverse oscillations of the elastic two-dimensional body taking into account the nonlinear behavior of the external dissipative forces are obtained. There is developed the procedure to study these models in the case of the specified systems. This type models and the...

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Published in:2019 IEEE 15th International Conference on the Experience of Designing and Application of CAD Systems (CADSM) pp. 1 - 5
Main Authors: Pukach, Petro, Nytrebych, Zinovii, Ilkiv, Volodymyr, Vovk, Myroslava, Malanchuk, Oksana
Format: Conference Proceeding
Language:English
Published: IEEE 01-02-2019
Subjects:
analytical method
Analytical models
Biomembranes
Force
Mathematical model
membrane oscillations
Micromechanical devices
Numerical models
oscillation system
Oscillators
wave process
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Abstract The mathematical models of the transverse oscillations of the elastic two-dimensional body taking into account the nonlinear behavior of the external dissipative forces are obtained. There is developed the procedure to study these models in the case of the specified systems. This type models and the similar ones are used in the MEMS, in particular, to project and synthesize the technical oscillations systems parameters. There is proposed the analytical method to solve the two-point boundary problem modeling the wave process in the unperturbed case. The obtained solution is analyzed on the plate oscillations example. The numerical computation proved the method effectiveness.
AbstractList The mathematical models of the transverse oscillations of the elastic two-dimensional body taking into account the nonlinear behavior of the external dissipative forces are obtained. There is developed the procedure to study these models in the case of the specified systems. This type models and the similar ones are used in the MEMS, in particular, to project and synthesize the technical oscillations systems parameters. There is proposed the analytical method to solve the two-point boundary problem modeling the wave process in the unperturbed case. The obtained solution is analyzed on the plate oscillations example. The numerical computation proved the method effectiveness.
Author Nytrebych, Zinovii
Ilkiv, Volodymyr
Pukach, Petro
Vovk, Myroslava
Malanchuk, Oksana
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  givenname: Petro
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  givenname: Zinovii
  surname: Nytrebych
  fullname: Nytrebych, Zinovii
  organization: Department of Mathematics, Lviv Polytechnic National University, Lviv, Ukraine
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  givenname: Volodymyr
  surname: Ilkiv
  fullname: Ilkiv, Volodymyr
  organization: Department of Mathematics, Lviv Polytechnic National University, Lviv, Ukraine
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  givenname: Myroslava
  surname: Vovk
  fullname: Vovk, Myroslava
  organization: Department of Mathematics, Lviv Polytechnic National University, Lviv, Ukraine
– sequence: 5
  givenname: Oksana
  surname: Malanchuk
  fullname: Malanchuk, Oksana
  organization: Department of Biophysics, Lviv Danylo Halytskyi National Medical University, Lviv, Ukraine
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SubjectTerms analytical method
Analytical models
Biomembranes
Force
Mathematical model
membrane oscillations
Micromechanical devices
Numerical models
oscillation system
Oscillators
wave process
Title The Mathematical Models of Mechanical and Electromechanical Systems Study via the Qualitative and Analytical Approach
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