The harmonic balance (HB) method is one of the most commonly used methods for solving
periodic solutions of both weakly and strongly nonlinear dynamical systems. However, it is …

Dry frictions have significant effects on the dynamic responses of engineering systems, due
to the strong nonlinear/non-smooth stick and slip properties arising from the contact …

Nanobeams have been widely used in various micro-electromechanical systems because of
their small size and high sensitivity. At the nanoscale, quasi-periodic (QP) vibration often …

In this study, the nonlinear vibration behaviours of foam-filled honeycomb sandwich
cylindrical shells (FHSCSs) are investigated theoretically and experimentally. Initially, a time …

谐波平衡法是求解非线性动力学系统周期解的最常用方法, 但对非线性项进行高阶近似需要庞杂
的公式推导, 限制了该方法的超高精度解算. 通过对频域非线性量的时域等价重构 …

In this study, a bifurcation analysis of the piezoelectric neuron system (PNS) is conducted
utilizing the time-domain minimum residual method (TMRM). From a biophysical standpoint …

The objective of this paper was to investigate the 2-DOF suspender response under the
condition of vortex-induced force and reveal the multimodal coupling mechanism. Firstly, an …

This paper proposes a nonlinear dynamic modeling method based on the lumped mass
approach to address the challenge of modeling the vibrations of the output external gear …

The harmonic balance method is the most commonly used method for solving periodic
solutions of nonlinear dynamic systems, but the high-order approximation of nonlinear terms …

Reduction gears, especially those with fewer gears similar to the three-ring reducer, can
cause changes in the gap between gear teeth due to wear of the tooth surfaces during the …