The analysis presented in this paper is concerned with the nonlinear dynamic behaviour of a single-walled nanotube in a multi-layer elastic media operating in a thermal-magnetic environment. Considering Von Karman geometric nonlinearity effect and using nonlocal elasticity theory as well as Euler–Bernoulli beam model, the equation of motion for the nanobeam is derived based on Hamilton’s principle. The nonlinear dynamic model is decomposed into spatial and temporal components using Galerkin decomposition technique. The resulting temporal ordinary differential equation is solved with the aid of power series method coupled with cosine after-treatment technique. Parametric studies on the effects of nonlocal, elastic media and thermal-magnetic parameters on the dynamic behaviour of the nanobeam are investigated and discussed. The present work is significant in the analysis, design and applications of nanotubes in thermal and magnetic environments.
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