This content is not included in your SAE MOBILUS subscription, or you are not logged in.
Structure-borne Vehicle Analysis using a Hybrid Finite Element Method
ISSN: 0148-7191, e-ISSN: 2688-3627
Published May 19, 2009 by SAE International in United States
Annotation ability available
The hybrid FEA method combines the conventional FEA method with the energy FEA (EFEA) for computing the structural vibration in vehicle structures when the excitation is applied on the load bearing stiff structural members. Conventional FEA models are employed for modeling the behavior of the stiff members in the vehicle. In order to account for the effect of the flexible members in the FEA analysis, appropriate damping and spring/mass elements are introduced at the connections between stiff and flexible members. Computing properly the values of these damping and spring/mass elements is important for the overall accuracy of the computations. Utilizing in these computations the analytical solutions for the driving point impedance of infinite or semi-infinite members introduces significant approximations. Alternatively, a component mode synthesis method applied to analytical modal solutions can be employed for determining the driving point conductance at joints between stiff and flexible members and for defining the dynamic properties of the flexible members when analyzing the stiff components. Once the vibration of the stiff members and the amount of power dissipated at the damping elements has been identified, an EFEA analysis is performed in order to determine the amount of vibrational energy in the flexible members. The hybrid FEA is used for analyzing a full vehicle structure and the results are compared to test data. The impact on the results from the values used for representing the dynamic characteristics of the flexible members in the FEA part of the calculations is also examined and presented.
CitationSbragio, R., Wang, A., Vlahopoulos, N., and Bertolini, D., "Structure-borne Vehicle Analysis using a Hybrid Finite Element Method," SAE Technical Paper 2009-01-2196, 2009, https://doi.org/10.4271/2009-01-2196.
- Tan Y-C, Castanier M. P., Pierre C., “Power flow analysis of complex structures using characteristic constraint modes” AIAA Journal, Vol. 43, No. 6, June 2005.
- Zhang G,,Castanier M.P. and Pierre C., Sep., 2005, “Integration of Component-Based and Parametric Reduced-Order Modeling Methods for Probabilistic Vibration Analysis and Design”, In proceedings of the Sixth European Conference on Structural Dynamics, Paris, France.
- Zhang G,,Castanier M.P. and Pierre C., Jan., 2004, “Efficient Component Mode Synthesis with a New Interface Reduction Method”, In proceedings of IMAC-XXII: A Conference & Exposition on Structural Dynamics, Dearborn, MI.
- Zhang G,, Castanier M. P., Pierre C. and Mourelatos Z. P., May 2003, “Vibration and Power Flow Analysis of a Vehicle Structure Using Characteristic Constraint Modes”, SAE Paper 2003-01-1602, In proceedings of the SAE Noise & Vibration Conference and Exhibition, Traverse City, MI.
- Avery P., Farhat C., Reese G., “Fast frequency sweep computations using a multi-point Padé-based reconstruction method and an efficient iterative solver,” International Journal for Numerical Methods in Engineering, Vol. 69, No. 13, pp. 2848-2875.
- Bremner P., Langley R., “An Energy Method for Mid-Frequency and Low Modal Overlap,” The Journal of the Acoustical Society of America, “October 1996”, Vol. 100, Issue 4, p. 2754.
- Langley R.S., and Bremner P., “A hybrid method for the vibration analysis of complex structural-acoustic systems,” 1999 Journal of the Acoustical Society of America 105, 1657-1671.
- Cotoni V., Shorter R., Langley R., “Numerical and experimental validation of a hybrid finite element - statistical energy analysis method,” J. Acoust. Soc. Am., Vol. 122, No. 1, July 2007, pp. 259-270.
- Vlahopoulos N., and Zhao X., “A Basic Development of a Hybrid Finite Element Method for Mid-Frequency Computations of Structural Vibrations,” AIAA Journal, Vol. 37, No. 11, November 1999, pp. 1495-1505.
- Vlahopoulos N., Zhao X., “An Investigation of Power Flow in the Mid-Frequency Range for Systems of Co-Linear Beams Based on a Hybrid Finite Element Formulation,” Journal of Sound and Vibration, Vol. 242(3), 3 May 2001, pp. 445-473.
- Zhao X., Vlahopoulos N., “A Basic Hybrid Finite Element Formulation for Mid-Frequency Analysis of Beams Connected at an Arbitrary Angle,” Journal of Sound and Vibration, Vol. 269, No. 6, January 2004, pp. 135-164.
- Hong S.B., Wang A., Vlahopoulos N., “A Hybrid Finite Element Formulation for a beam plate system,” Journal of Sound and Vibration, Vol. 298, 2006, pp. 233 - 256.
- Hong S. B., Vlahopoulos N., “A Hybrid Finite Element Formulation for Analyzing the Structure-Borne Noise in a Body-in-White,” SAE Paper No. 2005-01-2421, 2005 SAE Noise and Vibration Conference, Traverse City, MI.
- Craig R.R., and Bampton, M. C. C., “Coupling of substructures for dynamic analysis,” 1968 American Institute of Aeronautics and Astronautics Journal 6, 1313-1319.
- Gagliardini L., Houillon L., Borello G., and Petrinelli L., “Virtual SEA - FEA Based Modeling of Mid-Frequency Structure-Borne Noise,” Sound and Vibration, January 2005, pp. 22 -28.
- Vlahopoulos N., Li S., Victorovitch M., Caprioli D., “Validation of a hybrid finite element formulation for mid-frequency analysis of vehicle structures,” 2007 SAE Noise and Vibration Conference, SAE Paper No. 2007-01-2303.