Nonlinear model reduction to random spectral submanifolds in random vibrations

• Published in: Journal of sound and vibration Vol. 600; p. 118923
• Main Authors: Xu, Zhenwei, Kaundinya, Roshan S., Jain, Shobhit, Haller, George
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 31.03.2025
• Subjects: Invariant manifolds; Random vibrations; Reduced-order modeling; Spectral submanifolds; Spectral submanifolds; Reduced-order modeling; Invariant manifolds; Random vibrations

Dynamical systems in engineering and physics are often subject to irregular excitations that are best modeled as random. Monte Carlo simulations are routinely performed on such random models to obtain statistics on their long-term response. Such simulations, however, are prohibitively expensive and...