Journal of Vibration and Sound

Journal of Vibration and Sound

Developing a method for reducing the vibroacoustic model of vehicles

Document Type : research article

Authors
Mohammadreza Rahiminejad parvin 1
shahram azadi 2
golsa ghanati 3
1 Automotive Department.Mechanical Engineering Faculty.Khaje nasir toosi university of technology.tehran.iran
2 Automotive.mechanical engineering.khaje nasir toosi university of technology.tehran.iran
3 automotive. mechanical engineering.khaje nasir toosi university of technology.tehran.iran
Abstract
The cabin of a road vehicle contains multiple noise sources, which can be airborne or structure-borne. These sources include the transmission, engine, tire and road contact noise, aerodynamics noise, and more. The noise in the cabin can significantly affect passenger comfort. Therefore, it is crucial to have an accurate vibroacoustic model for analyzing and controlling vibrations. However, creating a simulation that closely reflects reality using a finite element model is highly complex. This complexity stems from the large number of degrees of freedom in the model, which requires significant computational resources for simulation. To overcome these challenges, various model order reduction (MOR) techniques for linear or nonlinear models have been developed. MOR has two approaches: projection data-based and equivalent model energy-based. In this paper, we utilize two MOR methods to simulate a reduced coupled model. The first method is based on the Krylov subspace method, which uses projection bases to reduce the large linear model. The second method is the modal coupling method, which uses the mode shape of the model to create a reduced model. Finally, we compare the pressure and displacement of the reduced model to the model at different frequency spectra.
Keywords
Model order reduction
Coupled Vibro acoustic model
Modal Coupling
Arnoldi Algorithm
Subjects
[1] Gaul, Lothar, and Martin Fischer, "Fast multipole boundary element method for the simulation of acoustic-structure interaction", Fluid Structure Interaction and Moving Boundary Problems IV 92, 2007, pp.313-319.
[2] Zienkiewicz, Olek C., Robert L. Taylor, and Jian Z. Zhu, “The finite element method: its basis and fundamentals”, Elsevier, 2005.
[3] Antoulas, A. C., "Approximation of large-scale dynamical systems: An overview", IFAC Proceedings, 2004, Vol.37, no.11, vol19-28.
[4] Howard, Carl Q., Colin H. Hansen, and Anthony Zander, "Vibro-acoustic noise control treatments for payload bays of launch vehicles: discrete to fuzzy solutions", Applied Acoustics, 2005, Vol.66, no.11, pp.1235-1261.
[5] van de Walle, Axel, Frank Naets, Elke Deckers, and Wim Desmet, "Stability‐preserving model order reduction for time‐domain simulation of vibro‐acoustic FE models", International Journal for Numerical Methods in Engineering, 2017, Vol.109, no.6, pp.889-912.
[6] van Ophem, Sjoerd, Onur Atak, Elke Deckers, and Wim Desmet, "Stable model order reduction for time-domain exterior vibro-acoustic finite element simulations", Computer Methods in Applied Mechanics and Engineering, 2017, Vol.325, pp.240-264.
[7] Glover, Keith, "All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞-error bounds", International journal of control, 1984, Vol.39, no.6, pp.1115-1193.
[8] Moore, Bruce, "Principal component analysis in linear systems: Controllability, observability, and model reduction", IEEE transactions on automatic control, 1981, Vol.26, no.1, pp.17-32.
[9] Everstine, G. C., "Finite element formulatons of structural acoustics problems", Computers & Structures, 1997, Vol.65, no.3, pp.307-321.
[10] Morand, Henri J-P., and Roger Ohayon. "Fluid structure interaction: applied numerical methods", (No Title), 1995.
[11] Fahy, Frank J., “Sound and structural vibration: radiation, transmission and response”, Elsevier, 2007.
[12] Arnoldi, Walter Edwin, "The principle of minimized iterations in the solution of the matrix eigenvalue problem", Quarterly of applied mathematics, 1951, Vol.9, no.1, pp.17-29.
[13] Bai, Zhaojun, "Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems", Applied numerical mathematics, 2002, Vol.43, no.1-2, pp.9-44.
[14] Ghanati, Golsa, and Shahram Azadi, "Active control of vehicle’s interior sound field with considering acoustic structural coupling", Modares Mechanical Engineering, 2018, Vol.18, no.7, pp.177-186.
Journal of Vibration and Sound
Volume 12, Issue 23 - Serial Number 23
September 2023
Pages 109-121