Perfect modelling of linear and nonlinear vibration

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• Dr Hugh Goyder, Cranfield/ AWE
• Friday 30 May 2025, 16:00-17:00
• JDB Seminar Room, CUED.

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It is suggested that a universal, simple equation exists that can be used for modelling all linear and nonlinear vibration. The motivation for this work comes from vibration testing. Here, a structure may be set into vibration and the resulting motion captured. This motion can be modelled perfectly by the proposed equation. More surprisingly the model will be familiar to all those who know about vibration. Finally, a good algorithm exists for fitting the model to data. The fitted equation is the homogeneous solution of the differential equation describing the structure and consequently the differential equation, linear or nonlinear, can be deduced. All these claims seem too good to be true! The talk will give details of the equation the modelling algorithm and applications. The author is interested your view of the universality of the modelling.

This talk is part of the Engineering - Dynamics and Vibration Tea Time Talks series.

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