Characteristics of guided waves in anisotropic spherical curved plates

Yu, Jiangong; Wu, Bin; Hongli, Huo; He, Cunfu

doi:10.1016/j.wavemoti.2006.11.002

Cited by 25 publications

(2 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It should be noted that in previous works the wave differential equations are transformed into the matrix eigenvalue problem. [32][33][34] This is useful for the propagating mode, by specifying real k and then solving for ω, but fails to find complex k solutions because the solving involves a multivariable search. We decompose the matrix so that the k dependence of the different terms becomes more apparent, and obtain Eq.…”

Section: Mathematics and Formulation Of The Problemmentioning

confidence: 99%

“…Moreover, although the Legendre polynomial method is quite versatile for guided wave problems, it involves a large amount of numerical integration calculations, resulting in a low computational efficiency. [29][30][31][32][33][34] This paper presents a recursive Legendre polynomial analytical integral (RLPAI) method to determine complete roots of the dispersion equation of guided waves in a rectangular orthotropic composite bar. The RLPAI method does not require the large amount of numerical integration calculations required by traditional polynomial methods, and the computational efficiency increases significantly.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Recursive Legendre Polynomial Analytical Integral Method for the Fast and Efficient Modelling Guided Wave Propagation in Rectangular Section Bars of Orthotropic Materials

Zhang¹,

Shao²,

Shao³

2021

The International Journal of Acoustics and Vibration

View full text Add to dashboard Cite

Ultrasonic guided waves are widely used in non-destructive testing (NDT), and complete guided wave dispersion, including propagating and evanescent modes in a given waveguide, is essential for NDT. Compared with an infinite plate, the finite lateral width of a rectangular bar introduces a greater density of modes, and the dispersion solutions become more complicated. In this study, a recursive Legendre polynomial analytical integral (RLPAI) method is presented to calculate the dispersion behaviours of guided waves in rectangular bars of orthotropic materials. The existing polynomial method involves a large number of numerical integration steps, and it is often computationally costly to compute these integrals. The presented RLPAI method uses analytical integration instead of numerical integration, thus leading to a significant improvement in the computational speed. The results are compared with those published previously to validate our method, and the computational efficiency is discussed. The full three-dimensional dispersion curves are plotted. The dispersion characteristics of propagating and evanescent waves are investigated in various rectangular bars. The influences of different width-to-thickness ratios on the dispersion curves of four types of low-order modes for a rectangular bar of an orthotropic composite are illustrated.

show abstract

Section: Mathematics and Formulation Of The Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Recursive Legendre Polynomial Analytical Integral Method for the Fast and Efficient Modelling Guided Wave Propagation in Rectangular Section Bars of Orthotropic Materials

Zhang¹,

Shao²,

Shao³

2021

The International Journal of Acoustics and Vibration

View full text Add to dashboard Cite

show abstract

Generalized thermoelastic waves in spherical curved plates without energy dissipation

Xue

2009

Acta Mech

View full text Add to dashboard Cite

Guided wave characteristics in functionally graded piezoelectric rings with rectangular cross-sections

Zhang

Lefebvre

2014

Acta Mech

View full text Add to dashboard Cite

For the purpose of design and optimization of functionally graded piezoelectric material (FGPM) transducers, wave propagation in FGPM structures has received much attention in the past twenty years. But previous research efforts have been focused essentially on semi-infinite structures and one-dimensional structures, i.e., structures with a finite dimension in only one direction, such as horizontally infinite flat plates and axially infinite hollow cylinders. This paper proposes a double orthogonal polynomial series approach to solving the wave propagation problem in a two-dimensional FGPM structure, namely an FGPM ring with a rectangular cross-section. By numerical comparison with the available reference results for a purely elastic homogeneous rectangular rod, the validity of the extended polynomial approach is illustrated. The dispersion curves and the electric potential distributions of various FGPM rectangular rings with different material gradient directions, different polarization directions, different radius to thickness ratios, and different width to thickness ratios are calculated to reveal the guided wave characteristics

show abstract

Characteristics of guided waves in anisotropic spherical curved plates

Cited by 25 publications

References 9 publications

A Recursive Legendre Polynomial Analytical Integral Method for the Fast and Efficient Modelling Guided Wave Propagation in Rectangular Section Bars of Orthotropic Materials

A Recursive Legendre Polynomial Analytical Integral Method for the Fast and Efficient Modelling Guided Wave Propagation in Rectangular Section Bars of Orthotropic Materials

Generalized thermoelastic waves in spherical curved plates without energy dissipation

Guided wave characteristics in functionally graded piezoelectric rings with rectangular cross-sections

Contact Info

Product

Resources

About