A novel geometric nonlinear reduced order modeling method using multi-fidelity surrogate for real-time structural analysis

He, Xiwang; Yang, Liangliang; Li, Kunpeng; Pang, Yong; Kan, Ziyun; Song, Xueguan

doi:10.1007/s00158-023-03689-4

Struct Multidisc Optim

2023

DOI: 10.1007/s00158-023-03689-4

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A novel geometric nonlinear reduced order modeling method using multi-fidelity surrogate for real-time structural analysis

Xiwang He,

Liangliang Yang,

Kunpeng Li

et al.

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2024

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Cited by 2 publications

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A reduced order finite element-informed surrogate model for approximating global high-fidelity simulation

Fang,

Hu,

Liu

et al. 2024

Struct Multidisc Optim

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A reduced order finite element-informed surrogate model for approximating global high-fidelity simulation

Fang,

Hu,

Liu

et al. 2024

Struct Multidisc Optim

View full text Add to dashboard Cite

Backbone curve tailoring via Lyapunov subcenter manifold optimization

Pozzi,

Marconi,

Jain

et al. 2024

Nonlinear Dyn

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We present a technique for the direct optimization of conservative backbone curves in nonlinear mechanical systems. The periodic orbits on the conservative backbone are computed analytically using the reduced dynamics of the corresponding Lyapunov subcenter manifold (LSM). In this manner, we avoid expensive full-system simulations and numerical continuation to approximate the nonlinear response. Our method aims at tailoring the shape of the backbone curve using a gradient-based optimization with respect to the system’s parameters. To this end, we formulate the optimization problem by imposing constraints on the frequency-amplitude relation. Sensitivities are computed analytically by differentiating the backbone expression and the corresponding LSM. At each iteration, only the reduced-order model construction and sensitivity computation are performed, making our approach robust and efficient.

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A novel geometric nonlinear reduced order modeling method using multi-fidelity surrogate for real-time structural analysis

Cited by 2 publications

References 41 publications

A reduced order finite element-informed surrogate model for approximating global high-fidelity simulation

A reduced order finite element-informed surrogate model for approximating global high-fidelity simulation

Backbone curve tailoring via Lyapunov subcenter manifold optimization

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