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Nonlinear vibrations and time delay control of an extensible slowly rotating beam
AbstractNonlinear dynamics of a rotating flexible slender beam with embedded active elements is studied in the paper. Mathematical model of the structure considers possible moderate oscillations thus the motion is governed by the extended Euler–Bernoulli model that incorporates a nonlinear curvature and coupled transversal–longitudinal deformations. The Hamilton's principle of least action is applied to derive a system of nonlinear coupled partial differential equations (PDEs) of motion. Thedoi:10.1007/s11071-020-06079-3 fatcat:4clbefbngvau3jdcy5hefrcueq