Abstract
The following paper presents methods for application of mode superposition to the analytical part of the hybrid simulation, when Real Time Finite Element Method is used to model the analytical substructure. Introducing mode superposition can bring significant computation time decrease in real time computations, by performing some calculations offline. The paper describes requirements, methods and algorithms for introducing mode superposition to explicit and implicit integration schemes. In explicit schemes mode superposition allows to increase the minimum time step often enabling real time computations that were not possible before. In implicit schemes mode superposition allows to reduce the time step of the analysis (and therefore increase accuracy). Numerical examples proving the effectiveness of the presented algorithms are given.DOI: http://dx.doi.org/10.5755/j01.mech.23.5.14642
Highlights
Hybrid simulation is a method for investigating dynamic material and structural properties of mechanical systems by performing an experiment and a numerical analysis simultaneously
The essence of the method is building two models that are dependent on each other: analytical model and experimental model
Mode superposition introduced to the analytical model enables to significantly reduce the model order and, the time step of real-time computations with only unnoticeable decrease of accuracy
Summary
Hybrid simulation is a method for investigating dynamic material and structural properties of mechanical systems by performing an experiment and a numerical analysis simultaneously. It applies to mechanical systems with components that are difficult to model numerically. Time (in order to obtain reliable results), all the FEM computations in the analytical model must be performed in real time. Real Time Finite Element Method (RTFEM) is used to simulate the non-physical part of the tested system. Mode superposition introduced to the analytical model enables to significantly reduce the model order and, the time step of real-time computations with only unnoticeable decrease of accuracy (if the reduction is performed correctly)
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