This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Mid-Frequency Vibration Analysis of Systems Containing One Type of Energy Based on a Hybrid Finite Element Formulation
Technical Paper
2001-01-1620
ISSN: 0148-7191, e-ISSN: 2688-3627
Annotation ability available
Sector:
Language:
English
Abstract
A hybrid finite element method (hybrid FEA) for computing mid-frequency vibrations for systems that contain one energy type is presented. In the mid-frequency range a system is comprised of both long and short members. Long members contain several wavelengths and they are modeled by the Energy Finite Element Analysis (EFEA). Short members contain a small number of wavelengths and they are modeled by the Finite Element Analysis (FEA). External excitation can be applied on long and/or on short members. Systems are analyzed by both the hybrid FEA method and an analytical solution in order to validate the hybrid FEA developments. The interaction among long and short members is defined by a set of equations between the EFEA and the FEA primary variables at the interfaces between long and short members. The numerical systems of equations for the long and the short members, and the interface equations are solved simultaneously. Good correlation between analytical and hybrid results is observed for all analyses.
Topic
Citation
Zhao, X. and Vlahopoulos, N., "Mid-Frequency Vibration Analysis of Systems Containing One Type of Energy Based on a Hybrid Finite Element Formulation," SAE Technical Paper 2001-01-1620, 2001, https://doi.org/10.4271/2001-01-1620.Also In
SAE 2001 Transactions Journal of Passenger Cars - Mechanical Systems
Number: V110-6; Published: 2002-09-15
Number: V110-6; Published: 2002-09-15
References
- Bathe, K. J. Finite Element Procedures in Engineering Analysis Prentice - Hall, Inc. 1982
- Huebner, K. H. Thornton, E. A. The Finite Element Method for Engineers Second John Wiley and Sons 1982
- Gockel, M. A. MSC/NASTRAN Handbook for Dynamic Analysis, Version 63 The MacNeal- Schwendler Corporation June 1983
- Lyon, R. Statistical Energy Analysis of Dynamical Systems: Theory and Application The MIT Press 1975
- Woodhouse, J. “An Approach to the Theoretical Background of Statistical Energy Analysis Applied to Structural Vibration,” Journal of the Acoustical Society of America 69 6 June 1991 1695 1709
- Thomas, R. S. Pan, J. Moeller, M. J. Nolan, T. W. “Implementing and Improving Statistical Energy Analysis Models using Quality Technology,” Noise Control Engineering Journal 1997 45 1 25 34
- Radcliffe, C. J. Huang, X. L. “Putting Statistics into the Statistical Energy Analysis of Automotive Vehicles,” Journal of Vibration and Acoustics Oct. 1997 119 629 634
- Burroughs, C. B. Fischer, R. W. Kern, F. R. “An Introduction to Statistical Energy Analysis,” J. of Ac. Soc. Am. 101 4 April 1997 1779 1789
- Nefske, D. J. Sung, S. H. “Power Flow Finite Element Analysis of Dynamic Systems: Basic Theory and Applications to Beams,” Journal of Vibration, Acoustics, Stress and Reliability 1989 111 94 106
- Bouthier, O. M. Bernhard, R. “Models of Space Averaged Energetics of Plates,” AIAA Journal March 1992 30 3 138 146
- Bouthier, O. M. Energetics of Vibrating Systems Mechanical Engineering Department Purdue University 1992
- Bouthier, O. M. Bernhard, R. J. “Simple Models of the Energetics of Transversely Vibrating Plates,” Journal of Sound and Vibration 1995 182 1 149 164
- Huff, J. E. Bernhard, R. J. “Prediction of High Frequency Vibrations in Coupled Plates using Energy Finite Element,” Proceedings of Inter-Noise 1995 Newport Beach, CA July 10-12 1995 1221 1226
- Vlahopoulos, N. Zhao, X. Allen, T. “An Approach for Evaluating Power Transfer Coefficients for Spot-Welded Joints in an Energy Finite Element Formulation,” Journal of Sound and Vibration 1999 220 1 135 154
- Bernhard, R. J. Huff, J. E. “Structural-Acoustic Design at High Frequency Using the Energy Finite Element Method,” Journal of Vibration and Acoustics 1999 121 295 301
- Vlahopoulos, N. Garza-Rios, L. O. Mollo, C. “Numerical Implementation, Validation, and Marine Applications of an Energy Finite Element Formulation,” Journal of Ship Research 1999 43 143 156
- Thouverez, F. Viktorovitch, M. Jezequal, L. “A random boundary element formulation for assembled rods and beams in the mid frequency range,” New Advances in Modal Synthesis of Large Structures Jezequal 1997 Balkema, Rotterdam 435 444
- Lu, L. “Dynamic Substructuring by FEA/SEA,” Vehicle Noise, The Winter Annual Meeting of ASME Dallas, Texas 1990 Sung, S. H Hsu, K. H. Keltie, R. F. 9 12
- Langley, R. S. Bremner, P. “A Hybrid Method for the Vibration Analysis of Complex Structural- Acoustic Systems,” Journal of the Acoustical Society of America 1999 105 1657 1671
- Vlahopoulos, N. Zhao, X. “Basic Development of Hybrid Finite Element Method for Mid-Frequency Structural Vibrations,” AIAA Journal 1999 37 1495 1505
- Zhao, X. Vlahopoulos, N. “A Hybrid Finite Element Formulation for Mid-Frequency Analysis of Systems with Excitation Applied on Short Members,” Journal of Sound and Vibration 2000 237 2 October 19 2000 181 202
- 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
- Zhao X. “Ph.D. Dissertation, A Basic Development of a Hybrid Finite Element Method for Mid-Frequency Computations of Structural Vibrations,” May 2000 Department of Naval Architecture and Marine Engineering University of Michigan
- Vlahopoulos, N. Vallance, C. Stark R. D. III “Numerical Approach for Computing Noise - Induced Vibration from Launch Environments,” AIAA Journal of Spacecraft and Rockets 35 3 355 360
- Vlahopoulos, N. Raveendra, S. T. Vallance, C. Messer, S. “Numerical Implementation and Applications of a Coupling Algorithm for Structural-Acoustic Models with Unequal Discretization and Partially Interfacing Surfaces,” Finite Elements in Analysis and Design 1999 32 257 277
- Finnveden, S. “Ensemble Averaged Vibration Energy Flows in a Three-Element Structure,” Journal of Sound and Vibration 1995 187 495 529
- Mace, B. R. “Power flow between two coupled beams,” Journal of Sound and Vibration 1992 159 2 305 325
- Mace, B. R. “The Statistical Energy Analysis of Two Continuous One-Dimensional Subsystems,” Journal of Sound and Vibration 1993 166 2 429 461