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Reduced Order Modeling and Substructuring : Applications in Nonlinear Structural Dynamics
A structural design process typically involves various load cases for which a sufficient load-bearing capacity must be demonstrated. In addition to static load cases, a verification of dynamic loads, such as blast and impact loading, may be required. To this end, the response can be estimated using computational models representing an idealized structure, often formulated using the finite element method. In contrast to static analyses, a dynamic response analysis generally requires some form of time (or frequency) discretization. Furthermore, to properly capture the structural behavior, it can be necessary to consider nonlinear effects, e.g., due to contact conditions, nonlinear material behaviors, or geometrically nonlinear effects. The repeated solution in time of large nonlinear finite element models can be computationally expensive and time-consuming. Consequently, there is a need for computationally efficient modeling approaches, allowing for an interactive design process where alternative designs may be tested in a time-efficient manner.By generating a reduced order model, the aim is to reduce the system size while maintaining sufficient accuracy of important output quantities. Hence, the computational cost can be reduced by analyzing a smaller, approximate system. For continuous structural dynamics problems discretized using the finite element method, reduced order models can be obtained by introducing a reduction basis. More specifically, the response is approximated using a set of time-independent displacement fields, referred to as mode shapes, which constitute the basis vectors of the modal basis. This approach is well-established and frequently used within linear structural dynamics. In the context of nonlinear structural dynamics, modal methods for reduced order modeling have gained more prominence during the last decades and is still an active area of research.In the dissertation, strategies for nonlinear reduced order modeling are developed on the basis of structural engineering applications ...
Reduced Order Modeling and Substructuring : Applications in Nonlinear Structural Dynamics
A structural design process typically involves various load cases for which a sufficient load-bearing capacity must be demonstrated. In addition to static load cases, a verification of dynamic loads, such as blast and impact loading, may be required. To this end, the response can be estimated using computational models representing an idealized structure, often formulated using the finite element method. In contrast to static analyses, a dynamic response analysis generally requires some form of time (or frequency) discretization. Furthermore, to properly capture the structural behavior, it can be necessary to consider nonlinear effects, e.g., due to contact conditions, nonlinear material behaviors, or geometrically nonlinear effects. The repeated solution in time of large nonlinear finite element models can be computationally expensive and time-consuming. Consequently, there is a need for computationally efficient modeling approaches, allowing for an interactive design process where alternative designs may be tested in a time-efficient manner.By generating a reduced order model, the aim is to reduce the system size while maintaining sufficient accuracy of important output quantities. Hence, the computational cost can be reduced by analyzing a smaller, approximate system. For continuous structural dynamics problems discretized using the finite element method, reduced order models can be obtained by introducing a reduction basis. More specifically, the response is approximated using a set of time-independent displacement fields, referred to as mode shapes, which constitute the basis vectors of the modal basis. This approach is well-established and frequently used within linear structural dynamics. In the context of nonlinear structural dynamics, modal methods for reduced order modeling have gained more prominence during the last decades and is still an active area of research.In the dissertation, strategies for nonlinear reduced order modeling are developed on the basis of structural engineering applications ...
Reduced Order Modeling and Substructuring : Applications in Nonlinear Structural Dynamics
Andersson, Linus (Autor:in)
01.01.2024
Hochschulschrift
Elektronische Ressource
Englisch
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