10 papers
Nonlinear Model Reduction of Complex Networks via Spectral Submanifolds
Kaviya Bhaskaran, Shobhit Jain, Mingwu Li
Complex networked systems are prevalent in biology, engineering, and the social sciences, yet their high-dimensional, nonlinear dynamics pose major challenges for analysis and pred…
Non-intrusive spectral submanifold model reduction for geometrically nonlinear rotating structures with Coriolis and centrifugal forces
Hejun Gao, Yiliang Wang, Yan Qing Wang +2
Rotating structures are widely observed in engineering applications such as turbomachinary and wind turbine. These rotating structures, particularly for blades made by lightweight…
Topology optimization of nonlinear forced response curves via reduction on spectral submanifolds
Hongming Liang, Matteo Pozzi, Jacopo Marconi +2
Forced response curves (FRCs) of nonlinear systems can exhibit complex behaviors, including hardening/softening behavior and bifurcations. Although topology optimization holds grea…
Parallelized computation of quasi-periodic solutions for finite element problems: A Fourier series expansion-based shooting method
Junqing Wu, Ling Hong, Mingwu Li +1
High-dimensional nonlinear mechanical systems admit quasi-periodic solutions that are essential for the understanding of the dynamical systems. These quasi-periodic solutions stay…
Morphoelastic ribbons: Differential growth-induced curvature and torsion
Hao Liu, Mingwu Li, Dabiao Liu
Natural slender structures, such as plant leaves, petals, and tendrils, often exhibit complex three-dimensional (3D) morphologies-including twisting, helical coiling, and saddle-be…
Model reduction of nonlinear time-delay systems via ODE approximation and spectral submanifolds
Yuan Tang, Mingwu Li
Time-delay dynamical systems inherently embody infinite-dimensional dynamics, thereby amplifying their complexity. This aspect is especially notable in nonlinear dynamical systems,…