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A Hybrid Finite Element Formulation for Analyzing Systems of Beams and Plates in the Mid-Frequency Range
Technical Paper
2003-01-1610
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
A hybrid Finite Element Analysis (hybrid FEA) formulation has been developed in the past for computing the mid-frequency vibration of systems that contain one type of energy. The hybrid FEA is based on characterizing as long members in a system all the members that contain a large number of wavelengths within their dimension. All the remaining members are considered as short. The Energy Finite Element Analysis (EFEA) is employed for modeling the behavior of the long members, while the conventional FEA method is utilized for modeling the short members. In this paper the hybrid FEA formulation is extended to plate structures that are spot-welded to a frame comprised by tubular members. The new formulation is validated by comparing the hybrid FEA solution to results produced by very dense conventional FEA models in the mid-frequency range.
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Hong, S. and Vlahopoulos, N., "A Hybrid Finite Element Formulation for Analyzing Systems of Beams and Plates in the Mid-Frequency Range," SAE Technical Paper 2003-01-1610, 2003, https://doi.org/10.4271/2003-01-1610.Also In
References
- Gockel, M. A. MSC/NASTRAN Handbook for Dynamic Analysis The MacNeal-Schwendler 1983
- Bathe, K. J. Finite Element Procedures in Engineering Analysis Englewood Cliffs, NJ Prentice-Hall 1982
- Huebner, K. H. Thornton, E. A. The Finite Element Method for Engineers Wiley NY second 1982
- Burroughs, C. B. Fischer, R. W. Kern, F. R. “An Introduction to Statistical Energy Analysis,” Journal of the Acoustical Society of America 101 1997 1779 1789
- Radcliffe, C. J. Huang, X. L. “Putting Statistics into the Statistical Energy Analysis of Automotive Vehicles,” Journal of Vibration and Acoustics 119 1997 629 634
- 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 45 1997 25 34
- Woodhouse, J. “An Approach to the Theoretical Background of Statistical Energy Analysis Applied to Structural Vibration,” Journal of the Acoustical Society of America 69 1991 1695 1709
- Lyon, R. H. DeJong, R. G. Theory and Application of Statistical Energy Analysis Butterworth-Heinemann 1995
- Bouthier, O. M. Bernhard, R. J. “Simple Models of the Energetics of Transversely Vibrating Plates,” Journal of Sound and Vibration 182 1995 149 164
- Huff, J. E. Bernhard, R. J. “Prediction of High Frequency Vibrations in Coupled Plates Using Energy Finite Element,” Proceedings of Inter-Noise '95 Newport Beach, CA July 1995 1221 1226
- Bouthier, O. M. Energetics of Vibrating Systems Mechanical Engineering Department, Purdue University 1992
- Bouthier, O. M. Bernhard, R. J. “Models of Space Averaged Energetics of Plates,” AIAA Journal 30 1995 34 44
- 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 111 1989 94 106
- 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 220 1999 135 154
- Vlahopoulos, N. Garza-Rios, L. O. Mollo, C. “Numerical Implementation, Validation, and Marine Applications of an Energy Finite Element Formulation,” Journal of Ship Research 43 September 1999 143 156
- Zhang, W. Wang, A. Vlahopoulos, N. “An Alternative Energy Finite Element Formulation Based on Incoherent Orthogonal Waves and its Validation for Marine Structures,” Finite Element in Analysis and Design 38 2002 1095 1113
- Zhang, W. Wang, A. Vlahopoulos, N. “High Frequency Vibration of Thin Elastic Plates under Heavy Fluid Loading by an Energy Finite Element Formulation,” Journal of Sound and Vibration
- Mace, B. R. “The Statistical Energy Analysis of Two Continuous One-Dimensional Subsystems,” Journal of Sound and Vibration 166 1993 429 461
- Ohayon, R. Soize, C. Structural Acoustics and Vibration Academic Press 1998
- Soize, C. “A model and numerical method in the medium frequency range for vibroacoustic predictions using the theory of structural fuzzy,” Journal of the Acoustical Society of America 94 1993 849 865
- Soize, C. “Reduced models in the medium frequency range for general dissipative structural-dynamics systems,” European Journal of Mechanics - A/Solids 17 1998 657 685
- Soize, C. “Reduced models in the medium-frequency range for general external structural-acoustic systems,” Journal of the Acoustical Society of America 103 1998 3393 3406
- Soize, C. “Reduced models for structures in the medium-frequency range coupled with internal acoustic cavities,” Journal of the Acoustical Society of America 105 1999 3362 3374
- Langley, R. S. Bremner, P. “A Hybrid Method for the Vibration Analysis of Complex Structural-Acoustic Systems,” Journal of the Acoustical Society of America 105 1999 1657 1671
- Soize, C. Bjaoui, K. “Estimation of fuzzy structure parameters for continuous junctions,” Journal of the Acoustical Society of America 107 2000 2011 2020
- Fredo, C. R. “A SEA-Like Approach for the Derivation of Energy Flow Coefficients with a Finite Element Model,” Journal of Sound and Vibration 199 1997 645 666
- Delange, K. Sas, P. Vandepitte, D. “The Use of Wave-Absorbing Elements for the Evaluation of Transmission Characteristics of Beam Junctions,” Journal of Vibration and Acoustics 119 1997 293 303
- Steel, J. A. Craik, R. J. M. “Statistical Energy Analysis of Structure-Borne Sound Transmission by Finite Element Methods,” Journal of Sound and Vibration 178 1994 553 561
- Simmons, C. “Structure-Borne Sound Transmission through Plate Junctions and Estimates of SEA Coupling Loss Factors Using the Finite Element Methods,” Journal of Sound and Vibration 144 1991 215 227
- Manning, J. E. “Calculation of Statistical Energy Analysis Parameters Using Finite Element and Boundary Element Models,” Proceedings of International Congress in Air- and Structure-Borne Sound and Vibration Auburn, AL March 1990 771 778
- Seeman, W. “Transmission and Reflection Coefficients for Longitudinal Waves Obtained by a Combination of Refined Rod Theory and FEM,” Journal of Sound and Vibration 197 1996 571 587
- 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 L. Rotterdam, The Netherlands Balkema 1997 435 444
- Lu, L. “Dynamic Substructuring by FEA/SEA,” Vehicle Noise Sung, S. H. Hsu, K. H. Keltie, R. F. Winter Annual Meeting of the American Society of Mechanical Engineers Dallas, TX 1990 9 12
- Vlahopoulos, N. Zhao, X. “Basic development of Hybrid Finite Element Method for Mid-Frequency Structural Vibrations,” AIAA Journal 37 1999 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 237 2 2000 181 202
- Vlahopoulos, N. Zhao, X. “An Investigation of Power Flow in the Mid-Frequency Range for Systems of Collinear Beams Based on a Hybrid Finite Element Formulation,” Journal of Sound and Vibration 242 3 2001 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
- Craig, R. R. Jr. Bampton, M. C. C. “Coupling of Substructures for Dynamic Analysis,” AIAA Journal 6 1968 1313 1319