eigen-value calculation of continuous beams

版本 1.6 (178.0 KB) 作者: E. Cheynet
Compute the eigenfrequencies and mode shapes of a continuous beam with different boundary conditions

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更新时间 2020/5/8

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Eigen-value calculation of continuous beams

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Summary

The eigenfrequencies and mode shapes of a simple beam are calculated based on [1]. During the calculation procedure, It is assumed that:

  • There is no structural coupling between the different degrees of freedom of the beam
  • The beam is homogeneous
  • The beam is un-damped
  • there are free oscillations

Four boundaries conditions are included:

  • pinned-pinned
  • clamped-free
  • clamped-clamped
  • clamped-pinned

Two Geometries are available:

  • rectangular beam
  • cylinder

Content:

  • eigenModes.m: a function used to compute the eigenfrequencies and modes shapes of a continuous beam with different boundaries conditions.
  • Example.m is an application of this function.

References

[1] Engineering vibration, Daniel J. Inman (3rd edition), near page 500

引用格式

E. Cheynet (2022). eigen-value calculation of continuous beams (https://github.com/ECheynet/eigenBeam/releases/tag/v1.6), GitHub. 检索来源 .

E. Cheynet. ECheynet/EigenBeam v1.6. Zenodo, 2020, doi:10.5281/ZENODO.3817909.

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