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Copy file name to clipboardExpand all lines: source/user/manual/analysis/eigen.rst
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* :math:`\lambda` is the eigenvalue
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* and :math:`\Phi` is the associated eigenvector
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Of course. Here is the breakdown formatted in reStructuredText, suitable for documentation.
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To convert the eigenvalues obtained from the generalized eigenvalue problem into natural frequencies, use the following relationships:
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**Eigenvalue** (`:math:\lambda`)
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This is the direct numerical output from the `model.eigen` call. Each eigenvalue corresponds to a specific vibration mode and represents the square of the natural angular frequency for that mode.
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**Angular Frequency** (`:math:\omega`)
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The angular frequency, measured in **radians per second**, is the square root of the eigenvalue.
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.. math::
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\omega = \sqrt{\lambda}
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**Natural Frequency** (`:math:f`)
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The natural frequency, measured in **Hertz (Hz)**, represents the number of oscillations per second. It is calculated by dividing the angular frequency by :math:`2\pi`.
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.. math::
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f = \frac{\omega}{2\pi} = \frac{\sqrt{\lambda}}{2\pi}
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