An alternative to modal analysis for material stiffness and damping identification from vibrating plates

Journal of Sound and Vibration

Volumn 329, Issue 10, 2010, Pages 1653-1672

  Giraudeau, Alain ^a   Pierron, Fabrice ^a   Guo, Baoqiao ^a  

^a ARTS ET MÉTIERS PARISTECH   (France)

Author keywords

[No Author keywords available]

Indexed keywords

MODAL ANALYSIS; STIFFNESS;

EXPERIMENTAL SET UP; MATERIAL STIFFNESS; PRINCIPLE OF VIRTUAL WORK; SLOPE MEASUREMENT; STIFFNESS AND DAMPING; VIBRATING PLATE; VIRTUAL FIELDS METHOD; VISCOELASTIC LAYERS;

DAMPING;

EID: 77954384917     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2009.11.031     Document Type: Article

References (58)

1. H. Sol, Identification of Anisotropic Plate Rigidities Using Free Vibration Data. PhD Thesis, Free University of Brussels, 1986.
2. L.R. Deobald, R.F. Gibson, Determination of elastic constants of orthotropic plates by a modal analysis/Rayleigh-Ritz technique, Journal of Sound and Vibration 124 (2) (1988) 269-283.
3. K.E. Fällström. M.A. Jonsson. A non-destructive method to determine material properties in anisotropic plates. Polymer Composites 12 (5) (1991) 293-305.
4. P. Pedersen, P.S. Frederiksen, Identification of orthotropic materials moduli by combinated experimental numerical approach, Measurements 10 (1992) 113-118.
5. W.P. De Wilde, Identification of the rigidities of composite systems by mixed numerical/experimental methods, in: A. Vautrin, H. Sol (Eds.), Mechanical identification of Composites, Elsevier Science Publishers, 1991, pp. 1-15.
6. E.O. Ayorinde, R.F. Gibson, Elastic constants of orthotropic composite materials using plate resonance frequencies, classical lamination theory and an optimized three-mode Rayleigh formulation. Composites Engineering 3 (5) (1993) 395-407.
7. C.M. Mota Soares, M. Moreira de Freitas, A.L. Araujo, P. Pedersen, Identification of material properties of composite plate specimen, Composite Structures 25 (1993) 277-285. (Pubitemid 23714744)
8. P. Frederiksen. Identification of elastic constants including transverse shear moduli of thick orthotropic plates. Technical Report, Danish Centre for Applied Mathematics and Mechanics, 1995 (Report number 500).
9. A.L. Araujo, C.M. Mota Soares, M.J.M. Freitas, Characterization of material parameters of composite specimens using optimization and experimental data, Composites Part B 27 (2) (1996) 185-191.
10. H. Sol, H. Hua, J. De Visscher, J. Vantomme, W.P. De Wilde, A mixed numerical experimental technique for the non destructive identification of the stiffness properties of fibre reinforced composite materials, NDT&E International 30 (2) (1997) 85-91.
11. L Pagnotta, G. Stigliano, Elastic characterization of isotropic plates of any shape via dynamic tests: theoretical aspects and numerical simulations, Mechanics Research Communications 35 (2008) 351-360.
12. P.S. Frederiksen, Numerical studies for identification of orthotropic elastic constants of thick plates, European Journal of Mechanics A/Solids 16 (1997) 117-140.
13. P.S. Frederiksen, Experimental procedure and results for the identification of elastic constants of thick orthotropic plates, Journal of Composite Materials 31 (4) (1997) 360-382.
14. K.E. Fällström, K. Olofsson, H.O. Saldner, S. Schedin, Dynamic material parameters in an isotropic plate estimated by phase-stepped holographic interferometry, Optics and Lasers in Engineering 24 (5-6) (1996) 429-454.
15. J. Cunha, J. Piranda, Application of model updating techniques in dynamics for the identification of elastic constants of composite materials, Composites Part B 30 (1999) 79-85.
16. J. Cugnoni, T. Gmür, A. Schorderet, Identification by modal analysis of composite structures modelled with FSDT and HSDT laminated shell finite elements, Composites Part A 35 (7-8) (2004) 977-987.
17. M. Grédiac, N. Fournier, P.-A. Paris, Y. Surrel, Direct determination of elastic constants of anisotropic plates by modal analysis: experimental results, Journal of Sound and Vibration 210 (5) (1998) 643-659.
18. M. Grédiac, P.-A. Paris, Direct identification of elastic constants of anisotropic plates by modal analysis: theoretical and numerical aspects, Journal of Sound and Vibration 193 (3) (1996) 401-415.
19. Y. Surrel, N. Fournier, M. Grédiac, P.-A Paris, Phase-stepped deflectometry applied to shape measurement of bent plates, Experimental Mechanics 39 (1) (1999) 66-70.
20. F.B. Batista, E.L. Albuquerque, J.R.F. Arruda, M. Dias Jr., Identification of the bending stiffness matrix of symmetric laminates using regressive discrete fourier series and finite differences, Journal of Sound and Vibration 320 (2009) 793-807.
21. R.F. Gibson, Modal vibration response measurements for characterization of composite materials and structures, Composites Science and Technology 60 (2000) 2769-2780.
22. G.G. Wren, V.K. Kinra, On the effect of an end-mass on a beam damping, Experimental Mechanics 9 (1989) 336-341.
23. G.G. Wren, V.K. Kinra, Modeling and measurement of axial and flexural damping in metal-matrix composites, Mechanics and Mechanisms of Material Damping, vol. 1169, American Society for Testing and Materials, 1992, pp. 282-315.
24. G.G. Wren, V.K. Kinra, Flexural damping of a P55 graphite magnesium composite, Journal of Materials Science 30 (1995) 3279-3284.
25. J.E. Bishop, V.K. Kinra, Some improvements in the flexural damping measurement techniques, Mechanics and Mechanisms of Material Damping, vol. 1169, American Society for Testing and Materials, 1992, pp. 457-470.
26. I.C. Finegan, R.F. Gibson, Recent research on enhancement of damping in polymer composite, Composite Structures 44 (1999) 89-98.
27. R.F. Gibson, Damping characteristics of composites materials and structures, Journal of Materials Engineering and Performance 1 (1992) 11-20. (Pubitemid 23618536)
28. Z. Zhang, G. Hartwig, Relation of damping and fatigue damage of unidirectional fibre composite, International Journal of Fatigue 24 (2002) 713-718.
29. D. Ouis, Effect of structural defects on the strength and damping properties of a solid material, European Journal of Mechanics A/Solids 22 (2003) 47-54.
30. Z. Xu, M. Y. Wang, T. Chen, An experimental study of particle damping for beams and plates, Journal of Vibration and Acoustics 126 (2004) 141-148.
31. J.L Ha. R.F. Fung, S.H. Chang. Quantitative determination of material viscoelasticity using a piezoelectric cantilever bimorph beam, Journal of Sound and Vibration 289 (2006) 529-550.
32. N. Srikanth, M. Gupta, Damping characterization of magnesium based composites using an innovative circle-fit approach, Composites Science and Technology 63 (2003) 559-568.
33. R.F. Gibson, R. Plunkett, Dynamic behavior of fiber-reinforced composites: measurements and analysis, Journal of Composite Materials 10 (1976) 325-332.
34. V. Jiejun, L. Chenggong, W. Dianbin, G. Manchang, Damping and sound absorption properties of particle Al matrix composite foams, Composites Science and Technology 63 (2003) 569-574.
35. N.W. Tschoegl, W.G. Knauss, I. Emri, Poisson's ratio in linear viscoelasticity - a critical review, Mechanics of Time-Dependent Materials 6 (2002) 3-51.
36. M.E. McIntyre, J. Woodhouse, On measuring the elastic and damping constants of orthotropic sheet materials, Acta Metallurgica 36 (6) (1988) 1397-1416.
37. J.P. Talbot, J. Woodhouse, The vibration damping of laminated plates, Composites Part A 28 (1997) 1007-1012.
38. J. De Visscher, H. Sol, W.P. De Wilde, J. Vantomme, Identification of the damping properties of orthotropic composite materials using a mixed numerical experimental method, Applied Composite Materials 4 (1997) 13-33.
39. M. Matter, T. Gmür, J. Cugnoni, A Schorderet, Numerical-experimental identification of the elastic and damping properties in composite plates, Composite Structures 90 (2009) 180-187.
40. A. Giraudeau, F. Pierron, Identification of stiffness and damping properties of thin isotropic plates using the virtual fields method: theory and simulations, Journal of Sound and Vibration 284 (3-5) (2005) 757-781. (Pubitemid 40643836)
41. A. Giraudeau, B. Guo, F. Pierron, Stiffness and damping identification from full-field measurements on vibrating plates, Experimental Mechanics 46 (6) (2006) 777-787. (Pubitemid 46023521)
42. S. Avril, M. Grédiac, F. Pierron, Sensitivity of the virtual fields method to noisy data, Computational Mechanics 34 (6) (2004) 439-452.
43. M. Geradin, D. Rixen, Mechanical Vibrations: Theory and Application to Structural Dynamics, second ed, Wiley, New York, 1997.
44. S. Avril, F. Pierron, General framework for the identification of constitutive parameters from full-field measurements in linear elasticity, International Journal of Solids and Structures 44 (2007) 4978-5002.
45. R. Moulart, F. Pierron, S. Hallett, M. Wisnom, Full-field strain measurements at high rate on notched composites tested with a tensile hopkinson bar, SEM Annual Conference on Experimental Mechanics, Society for Experimental Mechanics, Albuquerque, New Mexico, USA 1-4 June 2009.
46. I. Doghri, Mechanics of Deformable Solids, Springer, Berlin, 2000.
47. D. Jones, Viscoelastic Vibration Damping, Wiley, New York, 2001.
48. M. Grédiac, E. Toussaint, F. Pierron, Special virtual fields for the direct determination of material parameters with the virtual fields method. 1 - Principle and definition, International Journal of Solids and Structures 39 (10) (2000) 2691-2705.
49. M. Grédiac. E. Toussaint. F. Pierron, Special virtual fields for the direct determination of material parameters with the virtual fields method. 3 - Application to the bending rigidities of anisotropic plates, Internationai Jounjal of Solids and Structures 40 (10) (2003) 2401-2419.
50. E. Toussaint, M. Grédiac, F. Pierron, The virtual fields method with piecewise virtual fields, International Journal for Mechanical Sciences 48 (3) (2006) 256-264.
51. K. Syed-Muhammad, E. Toussaint, M. Grédiac, S. Avril, J.H. Kim, Characterization of composite plate using the virtual fields method with optimized loading conditions, Composite Structures 85 (2008) 70-82.
52. S. Rao, The Finite Element Method in Engineering, fourth ed, Elsevier, Amsterdam, 2005.
53. O.C Zienkewicz, R.L. Taylor, The finite element method, The Basis, vol. 1, fifth ed., Butterworth-Heinemeann, 2000.
54. J. Gittus, Creep, Viscoelasticity and Creep Fracture in Solids, Applied Science Publishers Ltd, London, 1975.
55. J. Lemaitre, J.-L. Chaboche, Mechanics of Solids Materials, Springer, Berlin, 1990.
56. Y. Surrei, Deflectometry: a simple and efficient non interferometric method for slope measurement, SEM Annual Congress on Experimental Mechanics, Society for Experimental Mechanics, Costa Mesa, California, USA, 7-10 June 2004.
57. Y. Surrel, Customized phase shift algorithms, Elsevier Science, January 2000, pp. 71-83.
58. T. Pritz. Measurement methods of complex poisson's ratio of viscoelastic materials. Applied Acoustics 60 (2002) 279-292.