Abstract
Structural health monitoring heavily relies on signal processing techniques that are necessary to post-process measured signals. It is these signals that indicate the state of the structure. This chapter addresses some of the important issues regarding signal processing of the measured signals, as it applies to the detection and characterization of damage.
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Alleyne D, Cawley P (1991) A two-dimensional Fourier transform method for the measurement of propagating multimode Signals. J Acoust Soc Am 89:1159–68
Amaratunga K, Williams JR (1995) Integration using wavelet. In: Proceedings of SPIE, wavelet application for dual use, vol 2491, pp 894–902
Amaratunga K, Williams JR (1997) Wavelet-Galerkin solution of boundary value problems. Arch Comput Meth Eng 4(3):243–285
Bacry E, Mallat S, Papanicolac G (1991) A wavelet space–time adaptive numerical method for partial differential equations. Technical report No 591, Robotics report No 257, Courant Institute of Mathematical Sciences, New York University, New York
Bacry E, Mallat S, Papanicolac G (1992) A wavelet based space–time adaptive numerical method for partial differential equations. Math Model Numer Anal 26:793–834
Basri R, Chiu WK (2004) Numerical analysis on the interaction of guided Lamb waves with a local elastic stiffness reduction in quasi-isotropic composite plate structures. Comp Struct 66:87–99
Battle G (1987) A block spin construction of ondelettes. Part I Lemarie functions. Commun Math Phys 110:601–615
Beylkin G (1992) On the representation of operators in bases of compactly supported wavelets. SIAM J Numer Anal 6(6):1716–1740
Dahmen W (2001) Wavelet methods for PDEs some recent developments. J Computat Appl Math 128(1-):133–85
Daubechies I (1988) Orthonormal bases of compactly supported wavelets. Commun Pure Appl Math 41:906–966
Daubechies I (1992) Ten lectures on wavelets. Ten lectures on wavelets
Davis PJ (1963) Interpolation and approximation. Blaisdell, New York
Doyle JF (1997) Wave propagation in structures. Springer, New York
Glowinski R, Rieder A, Wells Jr, RO, Zhou X (1993) A Wavelet Multilevel method for Dirichlet boundary value problems in general domains. Technical report 93-06, Computational Mathematics Laboratory, Rice University
Gopalakrishnan S, Chakraborty A, Roy Mahapatra D (2008) Spectral finite element method. Springer, UK
Hong TK, Kennett BLN (2002) On a wavelet based method for the numerical simulation of wave propagation. J Comput Phys 183:577–622
Joly P, Maday Y, Perrier V (1994) Towards a method for solving partial differential equations by using wavelet packet bases. Comp Meth Appl Mech Eng 116:193–202
Latto A, Resnikoff H, Tanenbaum E (1991) The evaluation of connection coefficients of compactly supported wavelets. In: Proceedings of French-USA workshop on wavelets and turbulence. Princeton University, Springer, New York
Mira Mitra (2006) Wavelet based spectral finite elements for wave propagation analysis in isotropic. Composite and nano composite structures, December, Ph.D., thesis, Indian Institute of Science, Bangalore, India
Patton BD, Marks PC (1996) One dimensional finite elements based on the Daubechies family of wavelets. AIAA J 34:1696–1698
Qian S, Weis J (1993) Wavelets and the numerical solution of partial differential equations. J Comput Phys 106:155–175
Robertsson JOA, Blanch JO, Symes WW, Burrus CS (1994) Galerkin-wavelet modeling of wave propagation: optimal finite-difference stencil design. Math Comput Model 19:31–28
Rose JL (2004) Ultrasonic waves in solid media. Cambridge University Press, Cambridge
Stromberg JO (1982) A modified Franklin system and higher order spline systems on \(R^n\) as unconditional bases for Hardy spaces. Conf. in Honour of A. Zygmund, vol II, Wadsworth Mathematics Series, 475(493), pp 475–493
Yim H, Sohn Y (2000) Numerical simulation and visualization of elastic waves using mass-spring lattice model. IEEE Trans Ultrason Ferroelect Freq Control 47((3):549–558
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Gopalakrishnan, S., Ruzzene, M., Hanagud, S. (2011). Signal Processing Techniques. In: Computational Techniques for Structural Health Monitoring. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/978-0-85729-284-1_3
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DOI: https://doi.org/10.1007/978-0-85729-284-1_3
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