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Mathematical Modeling Via Direct Use of Vibration Data
ISSN: 0148-7191, e-ISSN: 2688-3627
Published February 01, 1969 by SAE International in United States
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The process of reducing a physical system to a mathematical representation is a prevalent task mutual to all fields of analysis. Sometimes the system of equations, or mathematical model as commonly known, will be modified on a trial and error basis to make the model respond in some predetermined fashion or react so as to match behavioral data obtained from the actual physical system.
This paper presents a survey of activities to produce logically based schemes to generate mathematical models by making use of experimentally derived information. Primary attention is given to modeling of mechanical structures for purposes of dynamic analysis. Emphasis is given to current effort at Goddard and in particular to the recent studies designed to verify the practical effectiveness of a specific modeling scheme.
Strengths and weaknesses of the various modeling schemes are discussed. The point is made that they all belong in the analyst’s bag of tools and it is his task to best match the particular job.
CitationYoung, J. and On, F., "Mathematical Modeling Via Direct Use of Vibration Data," SAE Technical Paper 690615, 1969, https://doi.org/10.4271/690615.
- Zadeh, L. A. “On the Identification Problem.” IRE Trans. on Circuit Theory December 1956 277 281
- Kopp R. E. Orford, R. J. “Linear Regression Applied to System Identification for Adaptive Control Systems.” AIAA Journal 1 10 October 1963 2300 2306
- Kumar K. S. P. Sridhar, R. “On the Identification of Control Systems by the Quasi-Linearization Method.” IEEE Trans. on Automatic Control AC-9 April 1964 151 154
- Ho Y. C. Lee, R. C. K. “Identification of Linear Dynamic Systems.” Proceedings of National Electronics Conference 20 1964
- Lavi A. Strauss, J. C. “Parameter Identification in Continuous Dynamic Systems.” IEEE International Convention Record 6 March 1965 49 61
- Allison, J. S. “The Parameter Estimation Problem in Mathematical Modelling.” Dept. of Supply, Australian Defense Scientific Establishment November 1966
- Bellman, R. Kagiwada, H. Kalaba, R. R. “Quasi-Linearization, Systems Identification and Prediction.” Rand August 1963
- Collins P. L. Khatri, H. C. “Identification of Distributed Parameter Systems Using Finite Differences.” Trans. of the ASME Journal of Basic Engineering June 1969 239 245
- Sprague C. H. Kohr, R. H. “The Use of Piece-wise Continuous Expansions in the Identification of Nonlinear Systems.” Trans. of the ASME Journal of Basic Engineering June 1969 179 184
- Eykhoff, P. “Process Parameter and State Estimation.” Automatica 4 No. 4 May 1968 205 233
- Cuenod M. Sage, A. P. “Comparison of Some Methods Used for Process Identification.” Automatica 4 No. 4 May 1968 235 269
- Shinbrot, M. “On the Analysis of Linear and Nonlinear Dynamical Systems from Transient Response Data.” NACA 1954
- Greenberg, H. “A Survey of Methods for Determining Stability Parameters of an Airplane from Dynamic Flight Measurements,” NACA 1951
- Taylor L. W. Ilift, K. W. “A Modified Newton-Raphson Method for Determining Stability Derivatives from Flight Data.” Proceedings of the 2nd Annual Conference on Computing Methods in Optimization Problems, Sanremo, Italy September 1968
- Sevin E. Pilkey, W. D. “Min-Max Response Problems of Dynamic Systems and Computational Solution Techniques.” Shock and Vibration Bulletin No. 36 5 January 1967 69 76
- Sevin E. Pilkey, W. D. “Optimation of Shock Isolation Systems.” Paper 680749 presented at SAE National Aeronautics and Space Engineering and Manufacturing Meeting October 1968
- Sevin E. Pilkey, W. D. “Computer Aided Design of Optimum Shock-Isolation Systems.” Shock and Vibration Bulletin No. 39 4 April 1969 185 197
- Zupp, G. A. Jr Childs, S. B. “Applications of Quasilinearization Theory to System Identification.” NASA July 1969
- Flannelly, W. G. McGarney, J. H. Berman, A. “A Theory of Identification of the Parameters in the Equations of Motion of a Structure Through Dynamic Testing.” To be presented at the Symposium on Structual Dynamics, University of Technology, Laughborough, England March 23–25 1970
- Vatz, I. P. “Determination of Modal Mass from Test Data.” Shock and Vibration Bulletin No. 38 2 August 1968 271 298
- Berman, A. “Preferred Solutions and Incomplete Models as Related to Structural Testing and Analysis.” Kaman Aerospace Corp. November 1968
- Raney, J. P. “Identification of Complex Structures Using Near-Resonance Testing,” Shock and Vibration Bulletin No. 38 2 August 1968 23 32
- MacNeal, R. H. “Vibrations of Composite Systems.” Office of Scientific Research October 1954
- Hurty, W. C. “Dynamic Analysis of Structural Systems by Component Mode Synthesis.” Jet Propulsion Laboratory Technical January 1964
- Goldman, R. L. “Vibration Analysis by Dynamic Partitioning.” AIAA Journal June 1969 1152 1154
- Kozin F. Kozin, C. H. “Identification of Linear Systems, Final Report on Simulation Studies.” NASA April 1968
- Kozin F. Kozin, C. H. “Comment on a Single Averaging Technique for Identification of System Parameters.” Presented at Second Joint U.S.-Japan Seminar on Applied Stochastics September 1968
- Kozin F. Kozin, C. H. “A Moment Technique for System Parameter Identification.” Shock and Vibration Bulletin No. 38 2 August 1968 119 131