Reduced order modeling of modular parameter dependent structures based on proper orthogonal decomposition and mesh tying
Abstract: A model order reduction technique in combination with mesh tying is used to efficiently simulate many different structures that are assembled from a set of substructures. The stiffness matrices of the substructures are computed separately and assembled into a global stiffness matrix with tied contact formulation. Reducing the degrees of freedom of each substructure with a projection‐based model order reduction technique further decreases the computational time. The mode matrices that project the system into the low‐dimensional subspace are computed for each module separately with proper orthogonal decomposition and the method of snapshots. For the development and optimization of new construction strategies for fiber‐reinforced concrete, many different combinations of the modules have to be tested. The mechanical behavior of these modules depends on a set of parameters. Here the parameters are the fiber directions for transversely isotropic material behavior and parameters that describe the shape of the module. The sensitivity of the model order reduction technique to parameter changes requires a mode adaption technique to obtain reasonable results. Mode matrices for any parameters are computed by interpolating in a tangent space to the Grassmann manifold.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
Reduced order modeling of modular parameter dependent structures based on proper orthogonal decomposition and mesh tying ; volume:22 ; number:1 ; year:2023 ; extent:0
Proceedings in applied mathematics and mechanics ; 22, Heft 1 (2023) (gesamt 0)
- Urheber
- DOI
-
10.1002/pamm.202200189
- URN
-
urn:nbn:de:101:1-2023032514155169689123
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
14.08.2025, 11:01 MESZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Ritzert, Stephan
- Macek, Domen
- Simon, Jaan-Willem
- Reese, Stefanie
Ähnliche Objekte (12)
Reduced Order Modeling for modular anisotropic Structures based on Proper Orthogonal Decomposition and Mesh Tying
Theorie und Numerik des Stabilitätsverhaltens hyperelastischer Festkörper
Displacement-based multiscale modeling of fiber-reinforced composites by means of proper orthogonal decomposition
Thermomechanische Modellierung gummiartiger Polymerstrukturen
Implementation of a mesh-size-independent viscoplasticity damage model through a nonlocal continuum mechanical approach
Numerical implementation of tension–compression asymmetry in a gradient‐extended two‐surface damage–plasticity model
A two‐surface damage‐plasticity model based on a Drucker—Prager yield criterion
Deep learning‐based surrogate modeling of coronary in‐stent restenosis
Challenges in two‐scale computational homogenization of mechanical metamaterials
A variational concept and its experimental calibration for temperature‐induced rate‐dependent phase transformations in steel
A geometrically nonlinear micromorphic damage‐plasticity model
Fast simulation of coronary in‐stent restenosis: A non‐intrusive data‐driven reduced order surrogate model
Reduced Order Modeling for modular anisotropic Structures based on Proper Orthogonal Decomposition and Mesh Tying
Theorie und Numerik des Stabilitätsverhaltens hyperelastischer Festkörper
Displacement-based multiscale modeling of fiber-reinforced composites by means of proper orthogonal decomposition
Thermomechanische Modellierung gummiartiger Polymerstrukturen
Implementation of a mesh-size-independent viscoplasticity damage model through a nonlocal continuum mechanical approach
Numerical implementation of tension–compression asymmetry in a gradient‐extended two‐surface damage–plasticity model
A two‐surface damage‐plasticity model based on a Drucker—Prager yield criterion
Deep learning‐based surrogate modeling of coronary in‐stent restenosis
Challenges in two‐scale computational homogenization of mechanical metamaterials
A variational concept and its experimental calibration for temperature‐induced rate‐dependent phase transformations in steel
A geometrically nonlinear micromorphic damage‐plasticity model
Fast simulation of coronary in‐stent restenosis: A non‐intrusive data‐driven reduced order surrogate model
Reduced Order Modeling for modular anisotropic Structures based on Proper Orthogonal Decomposition and Mesh Tying
Theorie und Numerik des Stabilitätsverhaltens hyperelastischer Festkörper
Displacement-based multiscale modeling of fiber-reinforced composites by means of proper orthogonal decomposition
Thermomechanische Modellierung gummiartiger Polymerstrukturen
Implementation of a mesh-size-independent viscoplasticity damage model through a nonlocal continuum mechanical approach
Numerical implementation of tension–compression asymmetry in a gradient‐extended two‐surface damage–plasticity model
A two‐surface damage‐plasticity model based on a Drucker—Prager yield criterion
Deep learning‐based surrogate modeling of coronary in‐stent restenosis
Challenges in two‐scale computational homogenization of mechanical metamaterials
A variational concept and its experimental calibration for temperature‐induced rate‐dependent phase transformations in steel
A geometrically nonlinear micromorphic damage‐plasticity model