Dynamic instability characteristics of a free‐free missile structure under a controlled follower force

Purpose – To study the effect of rocket mass and an intermediate mass on the critical flutter load of a free‐free beam (missile‐like structure).Design/methodology/approach – A finite element model of beam considering shear deformation and rotary inertia, based on Hamilton's principle applied to non‐conservative system.Findings – Smaller geometric dimensions of the end rocket assist in the stability. Optimum positioning of the intermediate mass leads to stability.Practical implications – The stability of free‐free missile structures can be better understood.Originality/value – Sheds new light on the effect of rocket mass and an intermediate mass on the critical flutter load of a free‐free beam.

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