Harmonic excitation of a SDOF

Versión 2.3 (130 KB) por E. Cheynet
Implementation of some numerical methods to study forced vibrations of a SDOF in the time domain.
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Actualizado 27 mar 2023
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Harmonic excitation of a SDOF

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Summary

The exact solution of a damped Single Degree Of Freedom (SDOF) system is excited by a harmonic force is calculated [1]. It is compared to the numerical solution provided by the Matlab built-in function ode 45, the central difference method, Newmark method and the 4th order Runge-Kutta method, the implementation of which is based on the book from S. Rao [2].

Content

The repositroy contains:

  • The function RK4.m, which solves numerically the equations of motion of a damped system with the 4th order Runge-Kutta method
  • The function Newmark.m, which solves numerically the equations of motion of a damped system with Newmark's method
  • The function CentDiff.m, which solves numerically the equations of motion of a damped system with the central difference method
  • A Matlab livescript Documentation.mlx for the documentation

References

[1] Daniel J. Inman, Engineering Vibrations, Pearson Education, 2013

[2] Singiresu S. Rao, Mechanical Vibrations,Prentice Hall, 2011

Citar como

E. Cheynet (2024). Harmonic excitation of a SDOF (https://github.com/ECheynet/Excitation_SDOF/releases/tag/v2.3), GitHub. Recuperado .

Compatibilidad con la versión de MATLAB
Se creó con R2017b
Compatible con cualquier versión
Compatibilidad con las plataformas
Windows macOS Linux
Categorías
Más información sobre Numerical Integration and Differential Equations en Help Center y MATLAB Answers.
Agradecimientos

Inspiración para: Damping ratio estimation from ambient vibrations (SDOF)

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Versión Publicado Notas de la versión
2.3

See release notes for this release on GitHub: https://github.com/ECheynet/Excitation_SDOF/releases/tag/v2.3
2.2.2

See release notes for this release on GitHub: https://github.com/ECheynet/Excitation_SDOF/releases/tag/v2.2.2
2.2.1

See release notes for this release on GitHub: https://github.com/ECheynet/Excitation_SDOF/releases/tag/v2.2.1
2.2

Added project website
2.1.0.0

The inputs of the Newmark-Beta funciton are ordered to be consistent with the function CentDiff
2.0.0.0

Added Newmark and Runge-Kutta methods
1.0.0.0

- picture added

Para consultar o notificar algún problema sobre este complemento de GitHub, visite el repositorio de GitHub.
Para consultar o notificar algún problema sobre este complemento de GitHub, visite el repositorio de GitHub.