Energy-based reformulated Craig-Bampton method for multiple flexural subsystems connected at a junction with low impedance mismatch.
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| Title: | Energy-based reformulated Craig-Bampton method for multiple flexural subsystems connected at a junction with low impedance mismatch. |
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| Authors: | Maxit, Laurent1 laurent.maxit@insa-lyon.fr, Guasch, Oriol1 oriol.guasch@salle.url.edu |
| Source: | Mechanical Systems & Signal Processing. Mar2019, Vol. 119, p471-485. 15p. |
| Subjects: | Mechanical impedance, Statistical energy analysis, Modal analysis, Displacement (Mechanics), Coupling schemes, Finite element method |
| Abstract: | Highlights • Statistical energy analysis like methods rely on a specific modal coupling scheme. • The modal coupling is difficult to establish for multiple connected subsystems. • The dual formulation fails for multiple subsystems with low impedance mismatch. • A reformulated Craig-Bampton method is proposed for that situation. • The influence of non-resonant coupling modes cannot be totally discarded. Abstract Whereas the coupling between modes of two different subsystems is well-resolved in vibroacoustic energy-based methods, the situation becomes more intricate when several subsystems get connected at a common junction. In statistical energy analysis (SEA), the modal formulation is replaced by the travelling wave approach to solve the problem. However, this is not a viable option for other energy-based methods, like the statistical modal energy distribution analysis (SmEdA), and a modal coupling scheme is required for them. If there is a strong impedance mismatch between the multiple connected subsystems, the displacement-stress dual formulation offers a proper way to address the situation. Unfortunately, the latter fails if all involved subsystems have similar stiffness. In this work, the feasibility of the Craig-Bampton (CB) method to address such circumstance is explored. It is shown that the original CB technique does not fulfill the modal coupling assumptions of energy-based methods, so it is suggested to reformulate it to partially mitigate the problem. Numerical tests on a benchmark test are carried out to validate the proposal. The benchmark consists of a floor coupled with two walls at right angle, and it is analyzed for different impedance mismatch conditions. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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