3 papers
cs.MS2026
pyHB: an open-source automatic-differentiation-enhanced semi-analytical solver for nonlinear dynamics
Yuhong Jin, Qi Liu, Lei Hou +4
The Harmonic Balance (HB) method is widely used to compute and analyze the periodic responses of nonlinear systems. However, its application to high-dimensional complex systems is…
cs.CE2025
Harmonic balance-automatic differentiation method: an out-of-the-box and efficient solver for general nonlinear dynamics simulation
Yi Chen, Yuhong Jin, Rongzhou Lin +6
The Harmonic Balance-Alternating Frequency-Time domain (HB-AFT) method is extensively employed for dynamic response analysis of nonlinear systems. However, its application to high-…
cs.CE2025
A modified Newmark/Newton-Raphson method with automatic differentiation for general nonlinear dynamics analysis
Yifan Jiang, Yuhong Jin, Lei Hou +2
The Newmark/Newton-Raphson (NNR) method is widely employed for solving nonlinear dynamic systems. However, the current NNR method exhibits limited applicability in complex nonlinea…