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Equivalent viscous damper for friction damping

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I have a friction damping system which is exited by a harmonic force FE (depicted on the left side). Is there a way to convert the friction damper to a linear or nonlinear damper, such that the damping at a given excitement frequency is equal?

I am only considering sliding friction.

A reasonable approximation would be sufficient as well. Any papers or articles on the topic would also be highly appreciated.

Conversion of friction to dampingenter image description here

I have a friction damping system which is exited by a harmonic force FE (depicted on the left side). Is there a way to convert the friction damper to a linear or nonlinear damper, such that the damping at a given excitement frequency is equal?

A reasonable approximation would be sufficient as well. Any papers or articles on the topic would also be highly appreciated.

Conversion of friction to damping

I have a friction damping system which is exited by a harmonic force FE (depicted on the left side). Is there a way to convert the friction damper to a linear or nonlinear damper, such that the damping at a given excitement frequency is equal?

I am only considering sliding friction.

A reasonable approximation would be sufficient as well. Any papers or articles on the topic would also be highly appreciated.

enter image description here

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Equivalent damper for friction damping

I have a friction damping system which is exited by a harmonic force FE (depicted on the left side). Is there a way to convert the friction damper to a linear or nonlinear damper, such that the damping at a given excitement frequency is equal?

A reasonable approximation would be sufficient as well. Any papers or articles on the topic would also be highly appreciated.

Conversion of friction to damping