A Review of Model Order Reduction Methods for Large‐Scale Structure Systems

Lu, Kuan; Zhang, Kangyu; Zhang, Haopeng; Gu, Xiaohui; Jin, Yulin; Zhao, Shibo; Fu, Chao; Yang, Yue

doi:10.1155/2021/6631180

Cited by 18 publications

(6 citation statements)

References 171 publications

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“…(2) Online update of reduced-order PDEs To improve the computational efficiency of high-dimensional PDEs, ROM has been employed to construct reduced-order PDEs for structural and fluid dynamics applications (Lu et al, 2021). These reduced-order PDEs can be updated online.…”

Section: Literature Reviewmentioning

confidence: 99%

A Systematic Online Update Method for Reduced-Order-Model-Based Digital Twin

Tang,

Sajadi,

Dehaghani

et al. 2024

Preprint

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A digital twin (DT) is a model that mirrors a physical system and is continuously updated with real-time data from the physical system. Recent implementations of reduced-order-model-based DT (DT-ROM) have been applied in aerodynamics and structural health monitoring, where partial differential equations (PDEs) are utilized to update reduced bases and coefficients. However, these methods are not directly applicable when the PDEs of the system are unknown. This paper addresses the online update challenge for DT-ROM in scenarios lacking known PDEs of the system. To tackle the challenge, a systematic online update and application method is proposed. During the online update, the projection residual of online data on the reduced bases determines the necessity of updating reduced bases, while the prediction residual of online data obtained by the current DT-ROM is used to decide whether to update the coefficient model. By sequentially evaluating both criteria, the method selectively incorporates essential online data for the online DT model update. During the online application, a criterion defined based on online data is adopted to determine whether the offline DT-ROM or the online one is applied to output final predictions. The capability of the proposed method is tested through three numerical and three engineering problems. Results indicate that the proposed online update method consistently reduces both projection and prediction residuals, thereby progressively enhancing the performance of the online DT-ROM on test data. Meanwhile, the online application method provides a prediction performance better than using offline DT-ROM only. Both demonstrate that the proposed work could be applied to online DT update where the PDEs of the system are unknown.

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Section: Literature Reviewmentioning

confidence: 99%

A Systematic Online Update Method for Reduced-Order-Model-Based Digital Twin

Tang,

Sajadi,

Dehaghani

et al. 2024

Preprint

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“…In addition, due to the nonlinear dry friction and inter-shaft bearing force contained in the ESDFD-rotor-bearing system, the numerical integration method takes a long time and has a low computational efficiency. For this reason, model reduction and [25] semi-analytical solution method HB-AFT method [26] are often used to improve the computational efficiency of high-dimensional nonlinear dynamic models. Lu et al [27] reduced the dimension of a dual-rotor-bearing system model based on the proper orthogonal decomposition (POD) method, which reduced the time of calculating the nonlinear dynamic response under the misalignment fault of the coupling by using the numerical integration method.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of a dual-rotor-bearing system with active elastic support dry friction dampers

Ouyang,

Cao,

2024

Nonlinear Dyn

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In present study, the modified harmonic balance-alternating frequency/time domain (HB-AFT) method with embedded arc-length continuation method is used to study the nonlinear dynamic characteristics of the dual-rotor-bearing system with active elastic support dry friction damper (ESDFD). The friction on the contact interface between ESDFD moving and stationary disks is described by a two-dimensional (2D) friction contact model. The dynamic model of the dual-rotor is established by the conical Timoshenko beam element and the rigid disk element, while the inter-shaft bearing force is obtained by the Hertz contact model. The reduced order model (ROM) of dual-rotor system is constructed by the Craig-Bampton method. Based on the ROM, the modified HB-AFT method with embedded arc-length continuation procedure is used to solve the periodic solutions of the dual-rotor system under unbalanced excitation. The Floquet theory is employed to determine the stability of periodic solutions. The impact of key parameters such as Hertz contact stiffness and radial clearance of inter-shaft bearing, eccentricity of disk, and modal damping ratio on the primary resonance characteristics and inter-shaft bearing dynamic load of the dual-rotor system are revealed without considering the ESDFD. With considering the ESDFD, the influence of ESDFD normal force on the primary resonance peak and inter-shaft bearing dynamic load of the dual-rotor system is investigated. The optimal normal force and controllable region for ESDFD to control the vibration of the dual-rotor system under the target mode is determined. A control strategy based on altering the normal force within the controllable region is designed. Results show that under the proposed control strategy, the damping effect provided by ESDFD significantly reduces the vibration amplitude of the dual-rotor system and mitigates the dynamic load of the inter-shaft bearing when passing through the resonance region, completely suppresses the bi-stable phenomenon and vibration jump behavior of the dual-rotor system. Thereby reducing the structural damage caused by excessive vibration. This demonstrates promising engineering applications for ESDFD.

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“…Applications cover a large variety of problems, from recovering the response of a washing machine using reduced models of its cabinet and legs [29], to investigating the nonlinear aeroservoelastic behaviour of a three-dimensional supersonic aircraft [30], among many others. The reader is referred to [4,31] for some complete reviews on CMS methods.…”

Section: Introductionmentioning

confidence: 99%