Harmonic excitation of a SDOF

Version 2.3 (130 KB) by E. Cheynet
Implementation of some numerical methods to study forced vibrations of a SDOF in the time domain.
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Updated 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

Cite As

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

MATLAB Release Compatibility
Created with R2017b
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
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

To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.