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.
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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