In this paper, based on the nonlocal Timoshenko beam theory, a nonlinear model is presented for the vibrational behavior of carbon nanotubes (CNTs) embedded in elastic medium in thermal environment. Using the Timoshenko beam theory and nonlocal elasticity of Eringen, the influences of rotary inertia, transverse shear deformation and small scale effect are taken into account. To model the intera...

in this paper, newton harmonic balance method (nhbm) is applied to obtain the analytical solution for an electron beam injected into a plasma tube where the magnetic field is cylindrical and increases towards the axis in inverse proportion to the radius. periodic solution is analytically verified and consequently the relation between the natural frequency and the amplitude is obtained in an ana...

The Bouc–Wen nonlinear hysteretic model has many control parameters, which been widely used in the field of seismic isolation. isolation layer is most important part system, can be effectively simulated by model, and system reflect different dynamic characteristics under parameters. Therefore, this paper mainly studies analyzes influence factors based on incremental harmonic balance method, pro...

The Harmonic Balance method is an attractive solution for computing periodic responses and can be an alternative to time domain methods, at a reduced computational cost. The current paper investigates using a Harmonic Balance method for simulating limit cycle oscillations under uncertainty. The Harmonic Balance method is used in conjunction with a nonintrusive polynomial-chaos approach to propa...

This work concerns the computation of the nonlinear solutions of forced vibration of damped plates. In a recent work [1], a numerical method coupling an Asymptotic Numerical Method (ANM), harmonic balance method and Finite Element method was proposed to resolve this type of problem. The harmonic balance method transforms the dynamic equations to equivalent static ones which are solved by using ...

In this paper, Harmonic Balance based methods, namely Incremental Method and the method of with Alternating Frequency Time traditionally used to compute periodic orbits smooth nonlinear dynamical systems, are employed investigate dynamics a non-smooth system, specifically piecewise linear oscillator play. The was period one orbits, including those exhibiting grazing large impacts. implemented c...