Simultaneously estimating the time-dependent damping and stiffness coefficients with the aid of vibrational data

Computers, Materials and Continua

Volumn 7, Issue 2, 2008, Pages 97-107

  Liu, Chein Shan ^a   Chang, Jiang Ren ^a   Chang, Kai Huey ^a   Chen, Yung Wei ^a  

^a NATIONAL TAIWAN OCEAN UNIVERSITY   (Taiwan)

Author keywords

Integrating factor; Inverse vibration problem; Lie group estimation method; Time dependent damping and stiffness coefficients

Indexed keywords

AIRCRAFT ENGINES; CANNING; DAMPING; EQUATIONS OF MOTION; ESTIMATION; FUNCTION EVALUATION; LATTICE VIBRATIONS; MOBILE TELECOMMUNICATION SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; STIFFNESS; VIBRATIONS (MECHANICAL);

(MIN ,MAX ,+) FUNCTIONS; ADJOINT; ALGEBRAIC EQUATIONS; DAMPING COEFFICIENTS; FIRST ORDER SYSTEMS; HYPERBOLIC TYPE; INTEGRATING FACTORS; INVERSE VIBRATION PROBLEM; MATHEMATICAL METHODS; SECOND-ORDER EQUATIONS; STIFFNESS COEFFICIENTS; TIME-DEPENDENT; UNKNOWN PARAMETERS; VIBRATION DATA; VIBRATIONAL DATA;

MATHEMATICAL TRANSFORMATIONS;

EID: 46449109059     PISSN: 15462218     EISSN: 15462226     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. Adhikari, S.; Woodhouse, J. (2001a): Identification of damping: part 1, viscous damping. Journal of Sound and Vibration, vol. 243, pp. 43-61.
2. Adhikari, S.; Woodhouse, J. (2001b): Identification of damping: part 2, non-viscous damping. Journal of Sound and Vibration, vol. 243, pp. 63-88.
3. Chang, C. W.; Chang, J. R.; Liu, C.-S. (2006): The Lie-group shooting method for boundary layer equations in fluid mechanics. Journal of Hydrodynamics, vol. 18, Issue 3, Supplement 1, pp. 103-108.
4. Chang, C. W; Liu, C.-S.; Chang, J. R. (2005): A group preserving scheme for inverse heat conduction problems. CMES: Computer Modeling in Engineering & Sciences, vol. 10, pp. 13-38.
5. Chang, J. R.; Liu, C.-S.; Chang, C. W. (2007a). A new shooting method for quasi-boundary regularization of backward heat conduction problems. International Journal of Heat and Mass Transfer, vol. 50, pp. 2325-2332.
6. Chang, C. W; Liu, C.-S.; Chang, J. R. (2007b): The Lie-group shooting method for quasi-boundary regularization of backward heat conduction problems. ICCES on line Journal, vol. 3, pp. 69-79.
7. Feldman, M. (2007): Consider high harmonics for identification of non-linear systems by Hilbert transform. Mechanical Systems and Signal Processing, vol. 21, pp. 943-958.
8. Huang, C. H. (2001): A non-linear inverse vibration problem of estimating the time-dependent stiffness coefficients by conjugate gradient method. International Journal for Numerical Methods in Engineering, vol. 50, pp. 1545-1558.
9. Huang, C. H. (2005): A generalized inverse force vibration vibration problem for simultaneously estimating the time-dependent external forces. Applied Mathematical Modelling, vol. 29, pp. 1022-1039.
10. Ingman, D.; Suzdalnitsky, J. (2001): Iteration method for equation of viscoelastic motion with fractional differential operator of damping. Computer Methods in Applied Mechanics and Engineering, vol. 190, pp. 5027-5036.
11. Liang, J. W.; Feeny, B. F. (2006): Balancing energy to estimate damping parameters in forced oscillator. Journal of Sound and Vibration, vol. 295, pp. 988-998.
12. Liu, C.-S. (2001): Cone of non-linear dynamical system and group preserving schemes. International Journal of Non-Linear Mechanics, vol. 36, pp. 1047-1068.
13. Liu, C.-S. (2004): Group preserving scheme for backward heat conduction problems. International Journal of Heat and Mass Transfer, vol. 47, pp. 2567-2576.
14. Liu, C.-S. (2006a): The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions. CMES: Computer Modeling in Engineering & Sciences, vol. 13, pp. 149-163.
15. Liu, C.-S. (2006b): Efficient shooting methods for the second order ordinary differential equations. CMES: Computer Modeling in Engineering & Sciences, vol. 15, pp. 69-86.
16. Liu, C.-S. (2006c): The Lie-group shooting method for singularly perturbed two-point boundary value problems. CMES: Computer Modeling in Engineering & Sciences, vol. 15, pp. 179-196.
17. Liu, C.-S. (2006d): An efficient backward group preserving scheme for the backward in time Burgers equation. CMES: Computer Modeling in Engineering & Sciences, vol. 12, pp. 55-65.
18. Liu, C.-S. (2006e): One-step GPS for the estimation of temperature-dependent thermal conductivity. International Journal of Heat and Mass Transfer, vol. 49, pp. 3084-3093.
19. Liu, C.-S. (2006f): An efficient simultaneous estimation of temperature-dependent thermophysical properties. CMES: Computer Modeling in Engineering & Sciences, vol. 14, pp. 77-90.
20. Liu, C.-S. (2007): Identification of temperature-dependent thermophysical properties in a partial differential equation subject to extra final measurement data. Numerical Methods for Partial Differential Equations, vol. 23, pp. 1083-1109.
21. Liu, C.-S. (2008a): Identifying time-dependent damping and stiffness functions by a simple and yet accurate method. Journal of Sound and Vibration, on-line available.
22. Liu, C.-S. (2008b): An LGSM to identify non-homogeneous heat conductivity functions by an extra measurement of temperature. International Journal of Heat and Mass Transfer, vol. 51, pp. 2603-2613.
23. Liu, C.-S. (2008c): An LGEM to identify time-dependent heat conductivity function by an extra measurement of temperature gradient. CMC- Computers, Materials & Continua, in press.
24. Liu, C.-S. (2008d): Solving an inverse SturmLiouville problem by a Lie-group method. Boundary Value Problems, vol. 2008, Article ID 749865.
25. Liu, C.-S.; Chang, C. W; Chang, J. R. (2006a): Past cone dynamics and backward group preserving schemes for backward heat conduction problems. CMES: Computer Modeling in Engineering & Sciences, vol. 12, pp. 67-81.
26. Liu, C.-S.; Chang, C. W; Chang, J. R. (2006b): The Lie-group shooting method for steady-state Burgers equation with high Reynolds number. Journal of Hydrodynamics, vol. 18, Issue 3, Supplement 1, pp. 367-372.
27. Liu, C.-S.; Liu, L. W; Hong, H. K. (2007): Highly accurate computation of spatial-dependent heat conductivity and heat capacity in inverse thermal problem. CMES: Computer Modeling in Engineering & Sciences, vol. 17, pp. 1-18.
28. Shiguemori, E. H.; Chiwiacowsky, L. D.; de Campos Velho, H. F. (2005): An inverse vibration problem solved by an artificial neural network. TEMA Tend. Mat. Apl. Comput., vol. 6, pp. 163-175.