Toward a shape-performance integrated digital twin based on hybrid reduced-order modeling for engineering structures

He, Xiwang; Lai, Xiaonan; Li, Kunpeng; Wang, Shuo; Song, Xueguan; Sun, Wei

doi:10.1007/s00366-023-01862-3

Engineering with Computers

2023

DOI: 10.1007/s00366-023-01862-3

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Toward a shape-performance integrated digital twin based on hybrid reduced-order modeling for engineering structures

Xiwang He

Xiaonan Lai

Kunpeng Li

et al.

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2024

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Cited by 2 publications

References 42 publications

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A novel hyper-reduction framework featuring direct projection without an approximation process

Wang,

Jiang,

Wang

et al. 2024

Physics of Fluids

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Existing methodologies for the hyper projection-based reduced order model (HPROM) fall into two categories: the approximate-then-project and the project-then-approximate approaches. Both involves approximation and projection procedures. This paper introduces a novel hyper-reduction framework, the direct hyper projection-based reduced order model (DHPROM), which exclusively relies on the projection process without the need for the online approximation of Jacobian matrices, and nonlinear residual vectors. During the offline phase, DHPROM avoids the need for gathering the Jacobian matrices and nonlinear residual vectors associated with solving discrete partial differential equations (PDEs) at each iteration, nor for applying dimensionality reduction preprocessing techniques such as proper orthogonal decomposition, the discrete empirical interpolation method, and energy-conserving sampling and weighting to the collected dataset. These characteristics of the offline and online phases contribute to DHPROM's superior speed and accuracy compared to the HPROM. In terms of model applicability, various types of projection-based reduced order models arising from different choices of the left reduced order basis (ROB) Ψ can be derived, which are correspondingly expressed in the DHPROM with the left ROB Ψ̂. The generalizability of DHPROM is demonstrated through tests on the classic turbulent flow over periodic hills with moderately extrapolated parameters. The relative L2 norm error remains at the order of 10−3, indicating good performance. Finally, it is noteworthy that the DHPROM is applicable to any physical problems necessitating the numerical solution of PDEs.

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A novel hyper-reduction framework featuring direct projection without an approximation process

Wang,

Jiang,

Wang

et al. 2024

Physics of Fluids

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Towards Developing Reinforced Concrete Structures Digital Twins: A Multiscale Lattice Discrete Particle Model Approach

Zhu,

Fascetti

2024

Advances in Structural Engineering

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Digital Twins (DT) provide a critical approach to connecting physical structures and corresponding virtual representations through constant observations-to-decision flows, enabling near real-time analysis and assessment of structural health. A critical component of DTs of reinforced concrete structures lies in the definition of prognostic capabilities to predict/infer the system response. This is achieved by devising efficient computational methods for the simulation of the mechanical behavior of the system. This study presents the first step in devising a Multiscale Lattice Discrete Particle Model (M-LDPM) approach to be embedded in a DT framework to allow for forward prediction of damage evolution in the structural system. In the DT framework, a modification of the M-LDPM is proposed to address well-known issues associated with linking the macroscopic mesh configuration and the corresponding representative volume elements, significantly reducing the total computational cost. The effectiveness of the proposed multiscale model is validated by comparing numerical results with the full-order solutions for plain concrete members under 3-point bending, and further investigated by comparison with experimental results on three reinforced concrete beams.

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Toward a shape-performance integrated digital twin based on hybrid reduced-order modeling for engineering structures

Cited by 2 publications

References 42 publications

A novel hyper-reduction framework featuring direct projection without an approximation process

A novel hyper-reduction framework featuring direct projection without an approximation process

Towards Developing Reinforced Concrete Structures Digital Twins: A Multiscale Lattice Discrete Particle Model Approach

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