CALCULATION OF SEA COUPLING LOSS FACTORS USING THE DUAL FORMULATION AND FEM MODAL INFORMATION PART I: THEORY

Abstract : The theoretical approach presented in this paper allows us to calculate SEA Coupling Loss Factors for subsystems modelled with FEM. It is then possible to take into account complicated substructure that can be encountered in practical industrial application. The technique relies on the basic SEA relation for coupled oscillators and the use of Dual Modal Formulation to describe vibration of coupled subsystems. With this approach, the boundary conditions of uncoupled subsystems are clearly defined and as assumed in SEA no modal coupling exists in a subsystem. Modes of two different subsystems are coupled together by gyroscopic elements and the coupling strength is related to eigenfrequencies of the uncoupled subsystems and mode shapes through the interaction modal works. A general expression of CLF has been obtained, it permits to determine CLF only from the knowledge of the modes of the uncoupled subsystems and the modal damping. Finite Element Model can be used to calculate the modal information in the case of complex substructures. It is possible to treat the case of heterogeneous subsystems having three dimensional vibration motions without difficulty. Contrary to classical approach based on SEA inverse matrix and numerical experiments, that necessitates calculations of subsystem energies for the coupled structures for a lot of excitation points, this technique calculates CLF directly from the governing equations, without solving them. In a companion paper, the present approach is applied about simple example to illustrate it and to present validations.
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Laurent Maxit, Jean-Louis Guyader. CALCULATION OF SEA COUPLING LOSS FACTORS USING THE DUAL FORMULATION AND FEM MODAL INFORMATION PART I: THEORY. Journal of Sound and Vibration, Elsevier, 2001, pp.907-930. ⟨10.1006/jsvi.2000.3192⟩. ⟨hal-01162185⟩

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