Harmonic BalanceMethods: A Review and Recent Developments
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 …
periodic solutions of both weakly and strongly nonlinear dynamical systems. However, it is …
High-precision semi-analytical solution for the quasi-periodic nanobeam system based on the weight time-domain minimum residual method
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 …
their small size and high sensitivity. At the nanoscale, quasi-periodic (QP) vibration often …
Deciphering the complex behavior of piezoelectric neuron systems through bifurcation analysis with the time-domain minimum residual method
X Li, Y Chen, J Liu, G Liu - Nonlinear Dynamics, 2024 - Springer
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 …
utilizing the time-domain minimum residual method (TMRM). From a biophysical standpoint …
Time-domain minimum residual method combined with energy balance for nonlinear conservative systems
This paper presents a new semi-analytical method that combines the time-domain minimum
residual method with energy balance for nonlinear conservative systems. Due to work done …
residual method with energy balance for nonlinear conservative systems. Due to work done …
Residual-tuned analytical approximation for the limit cycle of aeroelastic systems with hysteresis nonlinearity
In this paper, the limit cycle of the two-dimensional aeroelastic system with hysteresis
nonlinearity was obtained by the time-domain minimum residual method. Compared with the …
nonlinearity was obtained by the time-domain minimum residual method. Compared with the …