Finite element analysis of free vibration and wave propagation in asymmetric composite beams with structural discontinuities

Chakraborty, A.; Mahapatra, D. Roy; Gopalakrishnan, S.

doi:10.1016/s0263-8223(01)00130-1

Cited by 117 publications

(57 citation statements)

References 29 publications

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“…The mid-span displacements for different L/h ratios are compared with exact solutions [7] and the finite elements results ( [3], [12], [18], [35]) in Tables 5 and 6. Effect of span-to-height ratio on in-plane and transverse shear stresses of a simply-supported composite beam is given in Table 7.…”

Section: Numerical Examplesmentioning

confidence: 99%

Static behavior of composite beams using various refined shear deformation theories

Thai

2012

Composite Structures

103

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Citation: Vo, Thuc and Thai, Huu-Tai (2012) Static behavior of composite beams using various refined shear deformation theories. Composite Structures, 94 (8) Northumbria University has developed Northumbria Research Link (NRL) to enable users to access the University's research output. Copyright © and moral rights for items on NRL are retained by the individual author(s) and/or other copyright owners. Single copies of full items can be reproduced, displayed or performed, and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided the authors, title and full bibliographic details are given, as well as a hyperlink and/or URL to the original metadata page. The content must not be changed in any way. Full items must not be sold commercially in any format or medium without formal permission of the copyright holder. The full policy is available online: http://nrl.northumbria.ac.uk/policies.html This document may differ from the final, published version of the research and has been made available online in accordance with publisher policies. To read and/or cite from the published version of the research, please visit the publisher's website (a subscription may be required.) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 Static behaviour of composite beams using various refined shear deformation theories AbstractStatic behaviour of composite beams with arbitrary lay-ups using various refined shear deformation theories is presented. The developed theories, which do not require shear correction factor, account for parabolical variation of shear strains and consequently shear stresses through the depth of the beam. In addition, they have strong similarity with Euler-Bernoulli beam theory in some aspects such as governing equations, boundary conditions, and stress resultant expressions. A two-noded C 1 finite element with six degree-of-freedom per node which accounts for shear deformation effects and all coupling coming from the material anisotropy is developed to solve the problem. Numerical results are performed for symmetric and anti-symmetric cross-ply composite beams under the uniformly distributed load and concentrated load. The effects of fiber angle and lay-ups on the shear deformation parameter and extension-bending-shear-torsion response are investigated.

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Section: Numerical Examplesmentioning

confidence: 99%

Static behavior of composite beams using various refined shear deformation theories

Thai

2012

Composite Structures

103

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“…The spring stiffness is then set to be equal to zero (0) for the 'free mode' and infinity (∞) for the 'constrained mode'. Saravanos and Hopkins [9] developed an analytical solution for predicting natural frequencies, mode shapes and modal damping of a delaminated composite beam based on a general laminate theory which involves kinematic assumptions representing the discontinuities in the in-plane and through-the-thickness [10] presented a finite element method to study the free vibration of delaminated asymmetric composite beams using refined locking free first-order shear deformable elements.…”

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confidence: 99%

Vibration of composite beams with two overlapping delaminations

2005

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Delaminations in composite laminates may develop from small cracks due to fabrication and impact loading, or from places of high stress concentration. The locations of the delaminations are not determinate. In this research, an analytical solution for the free vibration of a composite beam with two overlapping delaminations is presented. The delaminated beam is analyzed as seven interconnected beams using the delaminations as their boundaries. The continuity and equilibrium conditions are satisfied between the adjoining regions of the beams. Classical beam theory is applied to each of the beams. Complex vibration behaviors emerge for different sizes and locations of the delaminations. Comparison with analytical results reported in the literature verifies the validity of the present solution.

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“…A variety of numerical techniques were proposed to model wave propagation in time, frequency or timefrequency domains. The frequent scheme is finite element method (FEM) that its capability in this field was illustrated in references (Moser et al 1999, Chakraborty et al 2002. The high frequency loads are accompanying with shorter wavelength; therefore a large number of meshes and degrees of freedom are needed for the exact consideration of the wave energy.…”

Section: Study On Meshfree Hermite Radial Point Interpolation Methods mentioning

confidence: 99%

Study on Meshfree Hermite Radial Point Interpolation Method for Flexural Wave Propagation Modeling and Damage Quantification

Ghaffarzadeh

Barghian

Mansouri

et al. 2016

Lat. Am. j. solids struct.

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This paper investigates the numerical modeling of the flexural wave propagation in Euler-Bernoulli beams using the Hermite-type radial point interpolation method (HRPIM) under the damage quantification approach. HRPIM employs radial basis functions (RBFs) and their derivatives for shape function construction as a meshfree technique. The performance of Multiquadric(MQ) RBF to the assessment of the reflection ratio was evaluated. HRPIM signals were compared with the theoretical and finite element responses. Results represent that MQ is a suitable RBF for HRPIM and wave propagation. However, the range of the proper shape parameters is notable. The number of field nodes is the main parameter for accurate wave propagation modeling using HRPIM. The size of support domain should be less thanan upper bound in order to prevent high error. With regard to the number of quadrature points, providing the minimum numbers of points are adequate for the stable solution, but the existence of more points in damage region does not leads to necessarily the accurate responses. It is concluded that the pure HRPIM, without any polynomial terms, is acceptable but considering a few terms will improve the accuracy; even though more terms make the problem unstable and inaccurate.

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Finite element analysis of free vibration and wave propagation in asymmetric composite beams with structural discontinuities

Cited by 117 publications

References 29 publications

Static behavior of composite beams using various refined shear deformation theories

Static behavior of composite beams using various refined shear deformation theories

Vibration of composite beams with two overlapping delaminations

Study on Meshfree Hermite Radial Point Interpolation Method for Flexural Wave Propagation Modeling and Damage Quantification

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