Finite Element Procedures

Model reduction methods

We develop advanced model reduction methods to enable efficient dynamic analysis of large structures and unsupervised FE dynamic analysis system. Component mode synthesis is one of a widely used model reduction method. To illustrate this method, an aircraft structure, for example, can be treated as an assembly of fuselage and wings whose computational models can be constructed independently except at the shared boundaries interfacing the components. These structural components are generally called substructures in CMS. Since their structural information is transmitted to one another through the interfaces only, each component model effectively reduces with dominant substructural modes to its boundaries and therefore the dynamics of the entire aircraft can be calculated using the reduced models of fuselage and wings, enabling an efficient modular analysis and design. We are interested in developing a more efficient model reduction method and applying it to biomolecular structures such as proteins and DNA beyond classical structures.

* Jin-Gyun Kim, Young-Jun Park, Geun Ho Lee, Do-Nyun Kim, "A general model reduction with primal assembly in structural dynamics." Computer Methods in Applied Mechanics and Engineering (2017).
* Jaehoon Kim, Jin-Gyun Kim, Giseok Yun, Phill-Seung Lee, Do-Nyun Kim, "Toward modular analysis of supramolecular protein assemblies." Journal of Chemical Theory and Computation (2015).