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  • Open Access

    PROCEEDINGS

    A FE-Based Reduced-Order Modeling Technique with Mixed Kinematics for Geometrically Nonlinear Buckling Analysis of Structures

    Ke Liang1,*, Zheng Li1, Zhen Yin1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.29, No.1, pp. 1-1, 2024, DOI:10.32604/icces.2024.011625

    Abstract In this work, a finite element based reduced-order technique in the framework of mixed nonlinear kinematics is proposed for the geometrically nonlinear analysis of thin-walled structures [1]. The mixed nonlinear kinematics are established by combining the co-rotational formulation with the updated von Kármán formulation. The co-rotational formulation is selected to calculate the internal force and tangent stiffness of a structure; whereas the third- and fourth-order strain energy derivatives are achieved by the updated von Kármán formulation. For geometrically nonlinear problems with a large deflection, reduced-order models with 1 degree of freedom are constructed using the… More >

  • Open Access

    PROCEEDINGS

    Efficient Flow Prediction and Active Control based on Deep Learning Reduced-Order Modeling

    Jiaxin Wu1,2, Yi Zhan1, Min Luo1,*, Boo Cheong Khoo2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.29, No.4, pp. 1-1, 2024, DOI:10.32604/icces.2024.011058

    Abstract Research on the mechanism of fluid flows (particularly nonlinear) on solid structures is of great scientific and engineering significance, as well as to implement effective control by using intelligent solid structures (i.e., agents). These dynamical systems involve complex interactions of fluid dynamics and solid mechanics and, thus are typically defined as fluid-structure interaction (FSI) problems. For effective analysis of FSI systems and implementing active control, numerical modeling that couples fluid and solid solvers proves to be an effective approach. However, the efficiency and accuracy of conventional numerical methods for solving such problems are limited due… More >

  • Open Access

    ARTICLE

    Stability and Error Analysis of Reduced-Order Methods Based on POD with Finite Element Solutions for Nonlocal Diffusion Problems

    Haolun Zhang1, Mengna Yang1, Jie Wei2, Yufeng Nie2,*

    Digital Engineering and Digital Twin, Vol.2, pp. 49-77, 2024, DOI:10.32604/dedt.2023.044180 - 31 January 2024

    Abstract This paper mainly considers the formulation and theoretical analysis of the reduced-order numerical method constructed by proper orthogonal decomposition (POD) for nonlocal diffusion problems with a finite range of nonlocal interactions. We first set up the classical finite element discretization for nonlocal diffusion equations and briefly explain the difference between nonlocal and partial differential equations (PDEs). Nonlocal models have to handle double integrals when using finite element methods (FEMs), which causes the generation of algebraic systems to be more challenging and time-consuming, and discrete systems have less sparsity than those for PDEs. So we establish… More >

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