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Random Vibration Analysis

Use a random vibration study to calculate the response due to non-deterministic loads. Examples of non-deterministic loads include:

  • loads generated on a wheel of a car traveling on a rough road

  • base accelerations generated by earthquakes

  • pressure generated by air turbulence

  • pressure from sea waves or strong wind

In a random vibration study, loads are described statistically by power spectral density (psd) functions. The units of psd are the units of the load squared over frequency as a function of frequency. For example, the units of a psd curve for pressure are (psi)2 / Hz over Hz.

A sample psd curve is shown below. The X axis (frequency Hz) is plotted on a logarithmic scale for a clear illustration of the wide frequency range. The unit for Y-axis is amplitude2/ frequency.

The solution of random vibration problems is formulated in the frequency domain. Click here for details.

After running the study, you can plot root-mean-square (RMS) values, or psd results of stresses, displacements, velocities, etc. at a specific frequency or graph results at specific locations versus frequency values.

Damping Effects

Modal, Rayleigh, and Composite modal damping options are available for this type of analysis.

Related Topics

When to Use Dynamic Analysis

Definitions

Damping Effects

Loads and Result Options for Dynamic Analysis

Performing Linear Dynamic Analysis



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