The current paper investigates the dynamical property of a pendulum attached to a rotating
rigid frame with a constant angular velocity about the vertical axis passing to the pivot point …

This paper focuses on studying the dynamical response of a vibrating three degrees-of-
freedom (DOF) auto-parametric system near resonance. The structure of this system is …

Due to the growing concentration in the field of the nonlinear oscillators (NOSs), the present
study aims to use the general He's frequency formula (HFF) to examine the analytical …

The current work focuses on the motion of a simple pendulum connected to a wheel and a
lightweight spring. The fundamental equation of motion is transformed into a complicated …

Purpose Under certain conditions, the governing equation of motion of magnetic spherical
pendulum results in a cubic-quintic Duffing equation. The current work aims to achieve an …

This paper introduces a novel methodology to determine the frequency-amplitude
relationship of fractal-order viscoelastic polymer materials using the two-scale fractal …

This work studies a two degrees-of-freedom (DOF) dynamical system whose governing
system is solved analytically using the multiple scales approach (MSA). The solvability …

In this paper, a nonlinear vibrating dynamical system of two degrees-of-freedom is
examined. By virtue of the generalized coordinates, the controlling system of motion is …

This paper uses the two-scale fractal dimension transform and He's formula derived from the
ancient Chinese algorithm Ying Bu Zu Shu to find the approximate frequency–amplitude …

This work focuses on the dynamical rotatory motion of an asymmetric rigid body (RB)
subjected to a constant body-fixed torque and a vector of a gyrostatic moment (GM). The …