Finite element analysis of frequency spectra for elastic waveguides

Talbot, Richard J.; Przemieniecki, J. S.

doi:10.1016/0020-7683(75)90106-7

Cited by 27 publications

(15 citation statements)

References 5 publications

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“…The finite element method (FEM) is a well-accepted modeling technique and has been traditionally used to study wave propagation behavior in anisotropic structures (Koshiba et al, 1984; Talbot and Przemieniecki, 1975; Zienkiewicz et al, 2013). When using the FEM method, the mesh must be fine enough to generate a high-frequency wave with a small wavelength in response to a structural damage resulting in increased computational time.…”

Section: Introductionmentioning

confidence: 99%

Ultrasonic guided wave propagation in composites including damage using high-fidelity local interaction simulation

Neerukatti

Chattopadhyay

2017

Journal of Intelligent Material Systems and Structures

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Composite materials are used in many advanced engineering applications because of high specific strength and stiffness. Their complex damage mechanisms and failure modes, however, are still not well-understood, thus challenging the application safety. Ultrasonic guided waves are promising structural health monitoring tools used to determine the operational safety of composite materials. In this article, a fully coupled numerical simulation model is used to study wave propagation and dispersion in composites under varying sensor locations, propagating orientations, excitation frequencies, and damage locations. The model is based on the local interaction simulation approaches/sharp interface model wherein output sensor signals are processed using the matching pursuit decomposition algorithm to study the signal features in the time–frequency domain. The changes in signals due to varying damage locations with respect to the through-thickness direction are studied under anti-symmetrical and symmetrical excitation scenarios. The results show that the signal from symmetric excitation is more sensitive to the damage location, while the signal from anti-symmetric excitation is less dispersive. It indicates that comprising effective feature extraction technique with the accurate physics-based numerical simulation model can be implemented to develop robust structural health monitoring framework for composites.

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Section: Introductionmentioning

confidence: 99%

Ultrasonic guided wave propagation in composites including damage using high-fidelity local interaction simulation

Neerukatti

Chattopadhyay

2017

Journal of Intelligent Material Systems and Structures

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“…Numerous numerical techniques exist for modeling elastic wave propagation, such as finite element method (Talbot and Przemieniecki, 1976;Zienkiewicz, 1989;Koshiba, Karakida, and Suzuki, 1984), finite strip elements (Cheung, 1976;Liu et al, 1995;Liu and Achenbach, 1995), boundary element method (Yamawaki and Saito, 1992;Cho and Rose, 1996), spectral element methods (Fornberg, 1998;Krawczuk and Ostachowicz, 2001), and local interaction simulation approach/sharp interface model (LISA/SIM) (Delsanto, 1992(Delsanto, , 1994(Delsanto, , 1997.…”

Section: Introductionmentioning

confidence: 99%

Fully coupled electromechanical elastodynamic model for guided wave propagation analysis

2013

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Physics-based computational models play a key role in the study of wave propagation for structural health monitoring (SHM) and the development of improved damage detection methodologies. Due to the complex nature of guided waves, accurate and efficient computation tools are necessary to investigate the mechanisms responsible for dispersion, coupling, and interaction with damage. In this paper, a fully coupled electromechanical elastodynamic model for wave propagation in a heterogeneous, anisotropic material system is developed. The final framework provides the full three dimensional displacement and electrical potential fields for arbitrary plate and transducer geometries and excitation waveform and frequency. The model is validated theoretically and proven computationally efficient. Studies are performed with surface bonded piezoelectric sensors to gain insight into the physics of experimental techniques used for SHM. Collocated actuation of the fundamental Lamb wave modes is modeled over a range of frequencies to demonstrate mode tuning capabilities. The displacement of the sensing surface is compared to the piezoelectric sensor electric potential to investigate the relationship between plate displacement and sensor voltage output. Since many studies, including the ones investigated in this paper, are difficult to perform experimentally, the developed model provides a valuable tool for the improvement of SHM techniques.

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“…For a specific geometry and finite periodic or semi-infinite boundary conditions many solution techniques have been reported (an excellent overview of these numerical techniques is given in [7]). Previous modelling studies were based on the finite difference method (FDM) and the finite element method (FEM) [8][9][10][11][12][13][14]. Also the boundary element method (BEM) [15,16] which utilises surface integrals based on the solutions in terms of special Green's function was applied for modelling and analysis of wave propagation phenomena.…”

Section: Introductionmentioning

confidence: 99%