5 papers
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…
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-…
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…
Invertible Koopman neural operator for data-driven modeling of partial differential equations
Yuhong Jin, Andong Cong, Lei Hou +5
Koopman operator theory is a popular candidate for data-driven modeling because it provides a global linearization representation for nonlinear dynamical systems. However, existing…
Time Series Diffusion Method: A Denoising Diffusion Probabilistic Model for Vibration Signal Generation
Haiming Yi, Lei Hou, Yuhong Jin +3
Diffusion models have demonstrated powerful data generation capabilities in various research fields such as image generation. However, in the field of vibration signal generation,…