Harmonic excitation of a SDOF

バージョン 2.2.2 (206 KB) 作成者: E. Cheynet
Implementation of some numerical methods to study forced vibrations of a SDOF in the time domain.

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更新 2022/4/7

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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

引用

E. Cheynet (2022). Harmonic excitation of a SDOF (https://github.com/ECheynet/Excitation_SDOF/releases/tag/v2.2.2), GitHub. 取得済み .

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ヒントを与えたファイル: Damping ratio estimation from ambient vibrations (SDOF)

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