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.
2K Downloads
Updated 27 Mar 2023

Harmonic excitation of a SDOF

View Harmonic excitation of a SDOF on File Exchange Buy Me A Coffee

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

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
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.