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math.AP2019
Large Deflections of Inextensible Cantilevers: Modeling, Theory, and Simulation
Maria Deliyianni, Varun Gudibanda, Jason Howell +1
A recent large deflection cantilever model is considered. The principal nonlinear effects come through the beam's inextensibility---local arc length preservation---rather than trad…
math.AP2019
A Thorough Look at the (In)Stability of Piston-theoretic Beams
Jason Howell, Katelynn Huneycutt, Justin T. Webster +1
We consider a beam model representing the transverse deflections of a one dimensional elastic structure immersed in an axial fluid flow. The model includes a nonlinear elastic rest…