File Exchange

image thumbnail

Harmonic excitation of a SDOF

version 2.2 (276 KB) by E. Cheynet
Implementation of some numerical methods to study forced vibrations of a SDOF in the time domain.

29 Downloads

Updated 03 Mar 2019

View Version History

View License

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].

[1] Daniel J. Inman, Engineering Vibrations, Pearson Education, 2013
[2] Singiresu S. Rao, Mechanical Vibrations,Prentice Hall, 2011

Cite As

E. Cheynet (2021). Harmonic excitation of a SDOF (https://www.mathworks.com/matlabcentral/fileexchange/53854-harmonic-excitation-of-a-sdof), MATLAB Central File Exchange. Retrieved .

Comments and Ratings (8)

E. Cheynet

Hi Mouss,

Yes, it is possible to do that. However, the central difference is not the best approach. I have uploaded several examples for line-like structures on Matlab FileExchange where the 4th order Runge-Kutta or Newmark mehod is used

Mouss

is it possible to extend the central difference method to a multiple degree of freedom system?

E. Cheynet

Hi Vishal Antony,
There won't be much difference in the way to proceed with a rectangular pulse. However, you will probably need a (very) high sampling frequency to properly model the discontinuity that exists in a rectangular pulse.

Vishal Antony

How to express a rectangular Pulse as forcing function in the numerical method e.g. central difference method?

Omid Khademhosseini

E. Cheynet

@Maede I agree with you. I have re-arranged the inputs of the function "Newmark" in the new submission

Maede Zolanvari

I think it would be nicer if you had the inputs for both functions (CentDiff and Newmark) in the same order. Just to look better, no big deal :)

javad karimi

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!