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This work focuses on the stability analysis of an Euler Bernoulli cantileverbeam with a tip mass at the free end, subject to a follower force. This canserve as a viable model for analysis of elastic instability occurring due tofluid-structure interaction of structural components submerged in fluids andgases. A linear model with appropriate boundary conditions is developed usingthe energy formulation. The characteristic equation of the linear modelestablishes the relationship between the pulsation of the beam and themagnitude of applied follower force. The evolution of temporal eigenvalues withrespect to the magnitude of the follower force helps in evaluation of thecritical follower forces responsible for different modes of instability. Thepresented model demonstrates the existence of only dynamic instability in thesystem. Furthermore, the model predicts that both types of the dynamicinstability i.e., flutter and divergence, are possible in the system.

Dynamic Instability of Follower Forced Euler Bernoulli Cantilever Beam With Tip Mass