Model order reduction and substructuring methods for nonlinear structural dynamics

Dynamic analysis of large-size finite element models has been commonly applied by mechanical engineers to simulate the dynamic behavior of complex structures. The ever-increasing demand for both detailed and accurate simulation of complex structures forces mechanical engineers to pursue a balance between two conflicting goals during the...

Nonlinear model order reduction for flexible multibody dynamics: A modal derivatives approach

An effective reduction technique is presented for flexible multibody systems, for which the elastic deflection could not be considered small. We consider here the planar beam systems undergoing large elastic rotations, in the floating frame description. The proposed method enriches the classical linear reduction basis with modal derivatives...

Modal Derivatives based Reduction Method for Finite Deflections in Floating Frame

Model order reduction techniques are widely applied in the floating frame of reference. The use of linear vibration modes, however, is not applicable when the elastic deformations become finite. In this paper, the non-linear elastic formulation, where the higher-order terms will be included in the strain energy expression to consider the bending...

Component Mode Synthesis for geometrically nonlinear structures

In the field of computational physics and engineering, the introduction of computers opened a world of possibilities. The finite element method was developed in order to solve complex problems numerically. Over time, the method matured and structures in the field of engineering became more and more complex, resulting in large degree of freedom...