Harmonic excitation of a SDOF

版本 2.3 (129.6 KB) 作者: E. Cheynet
Implementation of some numerical methods to study forced vibrations of a SDOF in the time domain.
1.9K 次下载
更新时间 2023/3/27

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

引用格式

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

MATLAB 版本兼容性
创建方式 R2017b
兼容任何版本
平台兼容性
Windows macOS Linux
类别
Help CenterMATLAB Answers 中查找有关 Numerical Integration and Differential Equations 的更多信息

Community Treasure Hunt

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

Start Hunting!
版本 已发布 发行说明
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

要查看或报告此来自 GitHub 的附加功能中的问题,请访问其 GitHub 仓库
要查看或报告此来自 GitHub 的附加功能中的问题,请访问其 GitHub 仓库