A FLEXIBILITY-BASED INVERSE ALGORITHM FOR IDENTIFICATION OF SUBSTRUCTURAL AND JOINT PROPERTIES

ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)

Volumn 1998-G, Issue , 1998, Pages 11-22

  Park, K C ^a   Felippa, Carlos A ^a  

^a University of Colorado at Boulder   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AIRCRAFT ENGINES; FINITE ELEMENT METHOD; GAS TURBINES; INVERSE PROBLEMS;

FLEXIBILITY METHOD; INVERSE ALGORITHM; INVERSE PROBLEM METHODOLOGY; JOINT INTERFACES; JOINT PROPERTY; JOINTS' CHARACTERISTICS; LOCALISED; PARTITION STRUCTURES; STATISTICAL UNCERTAINTY; STRUCTURAL JOINTS;

LAGRANGE MULTIPLIERS;

EID: 85124357236     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/IMECE1998-0216     Document Type: Conference Paper

References (83)

1. E. J. Abbott, and F. A. Firestone, Specifying surface quality. Mechanical Engineering (ASME) 55, 1933, pp.569-589.
2. G. Adomian, Stochastic Systems, Academic Press, New York, 1983.
3. K. F. Alvin, Finite element model update via Bayesian estimation and minimization of dynamic residuals, Proc. International Modal Analysis Conference, Ann Arbor, Mich., 1996, 561-567.
4. K. F. Alvin, and K. C. Park, A Partitioned system identification procedure for substructural flexibility determination, Proc. 1996 AIAA SDM Conference, Paper No. AIAA 96-1297, Salt Lake City, Utah, April 15-19 1996
5. K. F. Alvin, K. C. Park and L. D. Peterson, Extraction of undamped normal modes and full modal damping matrix from complex modal parameters, AIAA Journal, 35(7), 1997, pp.l 187-1194
6. K. F. Alvin, K. C. Park and L. D. Peterson, A minimal-order experimental component code synthesis: new results and challenges, AIAA Journal, 33(8),1995, pp.1477-1485.
7. K. F. Alvin, K. C. Park and L. D. Peterson, Consistent model reduction of modal parameters for reduced-order active control, AIAA Journal ofGuidance, Control and Dynamics, 18(4), 1995, pp.748-755.
8. K. F. Alvin, L. D. Peterson and K. C. Park, A method for determining minimum-order mass and stiffness matrices from modal test data, AIAA Journal, 33(1), January 1995, 128-135.
9. K. F. Alvin and K. C. Park, A second-order structural identification procedure via system theory-based realization, AIAA Journal, 32(2), 1994, pp.397-406.
10. J. H. Argyris and S. Kelsey, Energy Theorems and Structural Analysis, Butterworths, London, 1960; reprinted from Aireraft Engrg. 26, Oct-Nov 1954 and 27, April-May 1955.
11. A. C. Aubert, E. F. Crawley, and K. J. O'Donnell, Measurement of the dynamic properties of joints in flexible space structures, MIT SSL Report No. 35-83, Sept. 1983.
12. C. F. Bears, Damping in structural joints, Shock and Vibration Digest, 11 (9), 1979, pp. 35-44.
13. H. Benaroya and M. Rehak, Finite element methods in probabilistic structural analysis: a selective review, AppliedMechanics Reviews, 41(5), 1988, pp.201-213.
14. M. Boucher, Signorinis problem in viscoelasticity, in The mechanics of the contact between deformable bodies, A. D. de Pater and J. J. Kalker, eds., Delft University Press, 1905, pp. 41-53.
15. F. P. Bowden and L. Leben, The nature of sliding and the analysis of friction, Proc. Roy. Soc. London A, 169 1939, pp. 371-391.
16. T. M. Cameron, L. Jordan and M.E.M. El-sayed, Sensitivity of structuraljoint siffness with respect to beam properties. Computers & Structures, Vol. 63, No.6, 1997, 1037-41.
17. S. H. Crandall, S. S. Lee and J. H. Williams Jr., Accumulated slip of a friction controlled mass excited by earthquake motions, ASME Journal ofApplied Mechanics, December 1974.
18. L. B. Crema et al, Damping effects in joints and experimental tests on rivetted specimens, AGARD Conference Proceedings, No. 277, April 1979.
19. T. A. Cruse, Y. T. Wu, J. B. Dias and K. R. Rajagopal, Probabilistic structural analysis methods and applications. Computers & Structures, 30(1-2), 1988, pp. 163-170.
20. T. A. Cruse, and C. C. Chamis (eds), Probabilistic Structural Analysis Methods (PSAM)for Selected Space Propulsion Applications, Manuscripts and reprints by Southwest Research Institute, San Antonio, TX, 1989.
21. C. A. Coulomb, Theorie des machines simples en ayant regard au frottement et a la raideur des cordages, in Memoires des Savants Strangers, Vol. X, Paris, 1781.
22. P. R. Dahl, Solid friction damping of mechanical vibrations, AIAA Journal, 14, No. 12, December 1976, pp. 1675-1682.
23. B. Dendrou and E. Houstis, An inference finite element model for field problems, Appled Mathematical Modeling, 1, 1978, pp. 109-114.
24. P. H. Denke, A general digital computer analysis of statically indeterminate structures, NASA Tech.Note D-1366, 1962.
25. A. Der-Kiureghian and P. L. Liu, Structural reliability under incomplete probability information, Journal ofEngineering Mechanics ASCE, 112(1), 1986, pp.85-104.
26. A. Der-Kiureghian, The stochastic finite element method in structural reliability, Proc. US-Austria Seminar on Stochastic Structural Mechanics Florida Atlantic Univ, Boca Raton, FA, May 1987.
27. M. P. Dolbey and R. Bell, The contact stiffness of joints at low apparent interface pressures, Ann. CIRP, XVIV 9, 1971, pp. 67-79.
28. E. H. Dowell, Free vibrations of a linear structure with arbitrary support conditions, ASME Journal ofApplied Mechanics, Vol. 38, 1971, pp. 595-600.
29. E. H. Dowell and H.B. Schwartz, Forced response of a cantilever beam with a dry friction damper attached, Part 1: Theory., J. Sound Vibration, Vol. 91 (2), 1983, pp. 255-267.
30. C. Farhat and F. X. Roux, Implicit parallel processing in structural mechanics, Computational Mechanics Advances, 2, No. 1, pp. 1-124, 1994.
31. C. A. Felippa and K. C. Park, “A direct flexibility method,” Computer Methods in Applied Mechanics and Engineering, 149 (1997)319-337.
32. C. A. Felippa, K. C. Park and M. R. Justino F., The construction of free-free flexibility matrices as generalized stiffness inverses, Center for Aerospace Structures, Report No. CU-CAS-97-04, University of Colorado, 1997; to appear in Computers and Structures.
33. B. M. Fraeijs de Veubeke, Matrix Structural Analysis, in: B. M. Fraeijs de Veubeke Memorial Volume ofSelected Papers, Sijthoff & Noordhoff, Alphen aan den Rijn, The Netherlands, 1980, pp.509-567.
34. R. H. Gallagher, Private communication to K. C. Park, 1997.
35. R. G. Ghanem and P. L. Spanos, Polynomial chaos in stochastic finite elements, J. AppliedMechanics, 57(1) 1990, pp. 197-202.
36. R. G. Ghanem and P. L. Spanos, Stochastic Finite Elements: A SpectralApproach, Springer-Verlag, New York, 1991.
37. M. Goland and E. Reissner, The stresses in cemented joints, J. Applied Mechanics, 11(1), 1944, pp.17-27.
38. A. P. Green, Friction between unlubricated metals: A theoretical analysis of the junction model, Proc. Roy. Soc. London, A228, 1955, pp. 181-204.
39. J. A. Greenwood, and D. Tabor, (1955). Deformation properties of friction junctions. Proceedings, Physical Society, Series B, 1968, 609.
40. F. Hemez and C. Farhat, Structural damage detection via a finite element model updating methodology,” ModalAnalysis Journal, Vol. 10, No. 3, 1995, 152-166.
41. H. Hertz, (1882). Uber die Beruhrung fester elastische Korper and uber die Harte (On the contact of rigid elastic solids and on hardness). Verhandlungen des Vereins zur Beforderung des Gewerbefleisses, Leipzig, Nov. 1882. (For English translation see Miscellaneous Papers by H. Hertz, Eds. Jones and Schott, London: Macmillan, 1896.)
42. T. J. R. Hughes, R.L. Taylor, J. Sackman, A. Curnier and W. Kanoknukulchai, A finite element method for a class of contact impact problems, Comput. Meth. Appl. Meeh. Engrg., 8,1976, pp. 249-276.
43. K. L. Johnson, One hundred years of Hertz contact, Proc. Inst. Meeh. Engrg., 196, 1982, pp. 363-378.
44. K. L. Johnson, Contact Mechanics, Cambridge University Press, 1985
45. M. R. Justino F„ K. C. Park, and C. A. Felippa, An algebraically partitioned FETI method for parallel structural Analysis: implementation and numerical performance evaluation, International Journalfor Numerical Methods in Engineering, 40, 1997, pp.2739-2758.
46. K. Karhunen, Uber Lineare Methoden in der Wahrscheinlichkeitrechnung, Amer. Acad. Sci. Fennicade, Series A, I, 37, 1947, pp.3-79.
47. N. Kikuchi and J. T. Oden, Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods, SIAM, Philadelphia, 1988.
48. B. J. Lazan, Damping ofMaterials andMembers in Structural Mechanics. Pergamon Press, Oxford, 1968.
49. W.-K. Liu, T. Besterfield and A. Mani, Probabilistic finite elements for transient analysis in nonlinear structural dynamics, Computer Methods in Applied Mechanics and Engineering, 57, 1986, pp. 61-81.
50. W.-K. Liu, T. Besterfield and T. Belytschko, Transient probabilistic systems, Computer Methods in Applied Mechanics and Engineering, 67, 1988, pp. 27-54.
51. M. Loeve, Probability Theory, 4th ed., Springer-Verlag, Berlin, 1977
52. R. H. MacNeal, The MacNeal Schwendler Corporation: The First Twenty Years, Gardner Litograph, Buena Park, CA., 1988.
53. S. Nakagiri and T Hisada, Stochastic finite element method applied to structural analysis with uncertain parameters, Proc. Inti. Conference on FEM, Tokyo, August 1982.
54. A. H. Nashed, Generalized Inverses and Applications, Proc. Advanced Seminar, The University of Wisconsin-Madison Oct 1973, Academic Press, New York, 1976.
55. K. J. O'Donnell and E. F. Crawley, Identification of nonlinear system parameters in space structure joints using the force-state mapping technique, MIT SSL Report No. 16-85, July 1985.
56. K. C. Park, G. W. Reich and K. F. Alvin, Damage Detection Using Localized Flexibilities, in: Structural Health Monitoring, Current Status and Perspectives, ed. F-K Chang, Technomic Pub., 1997, 125-139.
57. K. C. Park and C. A. Felippa, A Variational Framework for Solution Method Developments in Structural Mechanics, Journal ofAppliedMechanics, March 1998, Vol. 65/1, 242-249.
58. K. C. Park, M. R. Justino F. and C. A. Felippa, An algebraically partitioned FETI method for parallel structural analysis: algorithm description, International Journalfor Numerical Methods in Engineering, 40, 1997, pp.2717-2737.
59. S. N. Patnaik, An Integrated Force Method for discrete analysis, Int. J. Numer. Meth. Engrg., 6, 237-251, 1973.
60. E. C. Pestel and F. A. Leckie, Matrix Methods in Elastomechanics, McGraw-Hill, New York, 1963.
61. J. S. Przemieniecki, Theory of Matrix Structural Analysis, McGraw-Hill, 1968 (Dover edition 1986).
62. M.D. Rao and S. He, Vibration analysis of adhesively bonded lap joint, Part II: numerical solution,” J. Sound and Vibration, vol. 152, No.3, (1992) 417-425.
63. Red-Horse, J. R., and Alvin, K. F., Finite Element Modeling, Reconciliation, and Evaluation of Predictive Accuracy: A Case Study Proceedings of the 1996 AIAA/ASME Adaptive Structures Forum, Salt Lake City, UT, AIAA, Washington, DC, 1996, AIAA Paper 96-1296-CP.
64. Y. Ren and C. F. Beards, Identification of Effective Linear Joints Using Coupling and Joint Identification Techniques ASME Journal ofVibrations andAcoustics, 120, No.l, April 1998, 331-338.
65. Richter, S. L, and Collins, E. G., Jr., A Homotopy Algorithm for Reduced-Order Controller Design Using the Optimal Projection Equations, Proceedings ofthe Conference on Decision and Control, Dec. 1989, Tampa, FL, pp. 506-511.
66. A. N. Robertson, K. C. Park, and K. F. Alvin, Extraction of Impulse Response Data via Wavelet Transform for Structural System Identification, ASMEJournal ofVibrations andAcoustics, 120, No.l, January 1998, 252-260.
67. A. N. Robertson, K. C. Park, K. F. Alvin, Identification of Structural Dynamics Models Using Wavelet-Generated Impulse Response Data, ASME Journal of Vibrations and Acoustics, 120, No.l, January 1998, 261-266.
68. J. Robinson, StructuralMatrixAnalysisfor the Engineer, Wiley, New York, 1966.
69. J. W. Sawyer and P. A. Cooper, Analytical and experimental results for bonded single lap joints with preformed adherends, AIAA Journal, 19(11) 1981, pp.1443-1453.
70. M. Shinozuka and T. Nomoto, Response variability due to spatial randomness of material properties, Tech. Report, Dept, of Civil Engineering, Columbia Univ., New York, 1980.
71. M. Shinozuka, Basic Analysis for Structural Safety, J. Struc. Engrg ASCE, 109, 1983, pp.721-740
72. M. Shinozuka, Structural Response Variability, J. Engrg. Meeh. ASCE, 113, 1987, pp.825-842
73. C. Soize, Stochastic linearization method with random parameters for SDOF nonlinear dynamical systems: prediction and identification procedures, Probabilistic Engineering Mechanics, Vol. 10, pp. 143-152, 1992.
74. J. G. Teigen, D. M. Frangopol, S. Sture and C. A. Felippa, Probabilistic FEM for Nonlinear Concrete Structures. I: Theory, II: Applications, Journal Structural Engineering ASCE, 117, 1991, pp. 2674-2707.
75. L. Tong, M. Kurrupu and D. Kelly, Analysis of adhesively bonded composite double lap joints,” J. Thermoplastic Composite Materials, Vol. 10, No.l, (1997) 61.
76. H. S. Tzou, Non-Linearjoint dynamics and controls ofjointed flexible structures with active and viscoelastic joint actuators, Journal ofSound and Vibration, 1990, pp 407-422.
77. E. E. Ungar, Energy dissipation at structural joints; mechanisms and magnitudes, Air Force FDL-TDR-64-98, Aug. 1964.
78. E. E. Ungar, The status of engineering knowledge concerning the damping of built-up structures, J. Sound and Vibration, Vol. 26 (1), 1973. pp. 141-154.
79. D. J. Whitehouse and M. J. Phillips, Discrete properties of random surfaces, Phil. Trans. Roy. Soc. London A, 290, 1978, pp. 441-468.
80. Y.-T. Wu and P. H. Wirshing, New algorithm for structural reliability estimation, Journal ofEngineering Mechanics ASCE, 113(9), 1986, pp.1319-1336
81. C. Zener, Internal friction in solids: I. Theory of internal friction in reeds, Physical Review, Vol. 52, 1937, pp. 230-235.
82. C. Zener, Internal friction in solids: II. General theory of thermoelastic internal friction, Physical Review, Vol. 53, 1938, pp. 90-99.
83. C. Zener, W. Otis and R. Nuckolls, Internal friction in solids: III. Experimental demonstration of thermoelastic internal friction, Physical Review, Vol. 53, 1938, pp. 100-101.