Chaotic forced vibration analysis of a single-walled carbon nanotube resting on elastic foundations

Chaotic presence in nanotube (CNT) vibration is a potential source of imprecision and instability in nanomechanical systems. It is for this reason that the major focus of this paper is on the subject. The system’s vibration model is developed using the Euler–Bernoulli beam and nonlocal theory with consideration of transverse harmonic force, thermal term, magnetic field, and Pasternak foundation influences. The equation of motion is then solved using the Galerkin decomposition method and the Differential transform method (DTM). The influences of velocity, nonlocal parameters, transverse harmonic force, and length on the nonlinear vibration of the nanotube are analyzed using the simulations contained in this paper. For the purpose of convergence and dynamic response analysis, the obtained results in this study were treated with the use of the Cosine-after treatment technique (CAT). The outcome indicates that the controlling parameters such as harmonic force, nonlocal terms, velocity and all other included terms have considerable effects on the behavior of a CNT and can be used as effective control parameters for avoiding chaos.