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Harmonic excitation of a SDOF

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Implementation of some numerical methods to study forced vibrations of a SDOF in the time domain.



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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 are based on the book from S. Rao [2]. The advantage of e.g. the central difference method is that we can use more easily random loads (e.g. wind loads) as input.
[1] Daniel J. Inman, Engineering Vibrations, Pearson Education, 2013
[2] Singiresu S. Rao, Mechanical Vibrations,Prentice Hall, 2011

Comments and Ratings (1)

javad karimi



Added Newmark and Runge-Kutta methods


- picture added

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