This set of scripts calculates the response of an SDOF system to an applied force PSD.

A transfer function is derived. Then its square is applied to the force PSD to calculate the response, using point-by-point multiplication and integration.

sdof_ran_force.zip

*Important note: The following scripts in this post require the supporting functions which are in the above zip file.*

And here is a script that calculates the vibration response spectrum for an applied force: vrs_force.m

It also has an option for a fatigue damage spectrum.

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Here is a script which calculates the SDOF response to an external SPL. This assumes that the sound pressure can be converted to an equivalent force for a fully correlated, uniform pressure distribution across the top surface of the mass with no flanking paths: sdof_spl.m

And here is the full vibration response spectrum for the SPL: vrs_spl.m

Both of these scripts require these additional supporting functions:

enter_spl.m

convert_spl_to_psd.m

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Here are related papers.

The Steady-state Response of Single-degree-of-freedom System to a Harmonic Excitation Force: sforce.pdf

An Introduction to Frequency Response Functions: frf.pdf

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See also:

Modal Transient Analysis Numerical Engine, Applied Force

Vibrationdata Structural Dynamics – Classical Methods

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– Tom Irvine

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