A modified Newmark/Newton–Raphson method with automatic differentiation for general nonlinear dynamics analysis

The Newmark/Newton–Raphson (NNR) method is widely employed for solving nonlinear dynamic systems. However, the current NNR method exhibits limited applicability in complex nonlinear dynamic systems, as the acquisition of the Jacobian matrix required for Newton iterations incurs substantial computati...

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Bibliographic Details
Published in:Nonlinear dynamics 2026-02, Vol.114 (3), p.177, Article 177
Main Authors: Jiang, Yifan, Jin, Yuhong, Hou, Lei, Chen, Yi, Wang, Shijun, Cong, Andong, Meng, Qingye
Format: Article
Language:English
Subjects:
Applications of Nonlinear Dynamics and Chaos Theory
Classical Mechanics
Computers
Control
Differentiation
Dynamical Systems
Fluid dynamics
Fourier transforms
Jacobi matrix method
Jacobian matrix
Machine learning
Mechanics
Neural networks
Newton-Raphson method
Nonlinear dynamics
Nonlinear systems
Ordinary differential equations
Partial differential equations
Physics
Physics and Astronomy
Statistical Physics and Dynamical Systems
Vibration
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