Spectral finite element based on an efficient layerwise theory for wave propagation analysis of composite and sandwich beams

Nanda, Namita; Kapuria, S.; Gopalakrishnan, S.

doi:10.1016/j.jsv.2014.02.036

Cited by 36 publications

(17 citation statements)

References 23 publications

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“…Hong et al examined thermal induced vibration of a thermal sleeve using GDQ method, which was used to obtain numerical results of two-layer cross-ply laminated tubes under thermal vibration [16]. The classical finite element method has also been used in numerous works to examine the vibration of sandwich beam [17][18][19][20][21]. Similar to the FEM method, the quadrature element method (QEM) has also been examined by numerous investigators to study sandwich structures [13,14,[22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Analytical and Experimental Vibration of Sandwich Beams Having Various Boundary Conditions

Joubaneh

Barry

Tanbour

2018

Shock and Vibration

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Generalized differential quadrature (GDQ) method is used to analyze the vibration of sandwich beams with different boundary conditions. The equations of motion of the sandwich beam are derived using higher-order sandwich panel theory (HSAPT). Seven partial differential equations of motions are obtained through the use of Hamilton’s principle. The GDQ method is utilized to solve the equations of motion. Experiments are conducted to validate the proposed theory. The results from the analytical model are also compared to those from the literature and finite element method (FEM). Parametric studies are conducted to investigate the effects of different parameters on the natural frequency and response of the sandwich beam under various boundary conditions.

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Section: Introductionmentioning

confidence: 99%

Analytical and Experimental Vibration of Sandwich Beams Having Various Boundary Conditions

Joubaneh

Barry

Tanbour

2018

Shock and Vibration

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“…The eigenvectors U j of the complex coefficient matrix M for a given wavenumber k j are obtained by performing the singular value decomposition (SVD), details of which can be found in [26].…”

Section: Dispersion Relations For Fsdtmentioning

confidence: 99%

“…The global dynamic stiffness matrix is obtained by assembling the element stiffness matrices, in case of multiple elements. The time history response for a given loading function FðtÞ is obtained using the procedure described in [26].…”

Section: Spectral Finite Element Formulationmentioning

confidence: 99%

“…The Fast Fourier Transform (FFT) based SFEM has been presented in [20][21][22] for wave propagation in isotropic rods and beams. Similar SFEMs for laminated composite beams have been presented using the CLT [23], FSDT [24,25], and recently, an efficient layerwise theory [26]. SFEMs employing the wavelet transformation have also been presented for composite beams and plates [27,28] based on the FSDT.…”

Section: Introductionmentioning

confidence: 96%

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Spectral finite element for wave propagation analysis of laminated composite curved beams using classical and first order shear deformation theories

Nanda

Kapuria

2015

Composite Structures

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“…By fine and accurate processing, the space structure, the wave motion dispersion, and response of the structure can be obtained. Nanda et al [15] present a spectral finite element method which can adopt the efficient and accurate layerwise theory to analyze the nonuniform composite and sandwich structure beams. However, spectral finite element methods require modifying two-dimensional or three-dimensional problems, geometrical complexities, nonperiodic boundary conditions, and so on.…”

Section: Introductionmentioning

confidence: 99%

Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element Method

Xue

Wang

et al. 2020

Shock and Vibration

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A plane Hermitian wavelet finite element method is presented in this paper. Wave motion can be used to analyze plane structures with small defects such as cracks and obtain results. By using the tensor product of modified Hermitian wavelet shape functions, the plane Hermitian wavelet shape functions are constructed. Scale functions of Hermitian wavelet shape functions can replace the polynomial shape functions to construct new wavelet plane elements. As the scale of the shape functions increases, the precision of the new wavelet plane element will be improved. The new Hermitian wavelet finite element method which can be used to simulate wave motion analysis can reveal the law of the wave motion in plane. By using the results of transmitted and reflected wave motion, the cracks can be easily identified in plane. The results show that the new Hermitian plane wavelet finite element method can use the fewer elements to simulate the plane structure effectively and accurately and detect the cracks in plane.

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Spectral finite element based on an efficient layerwise theory for wave propagation analysis of composite and sandwich beams

Cited by 36 publications

References 23 publications

Analytical and Experimental Vibration of Sandwich Beams Having Various Boundary Conditions

Analytical and Experimental Vibration of Sandwich Beams Having Various Boundary Conditions

Spectral finite element for wave propagation analysis of laminated composite curved beams using classical and first order shear deformation theories

Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element Method

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