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2018 | OriginalPaper | Buchkapitel

Static and Free Vibration Analysis of Functionally Graded Shells Using a Cell-Based Smoothed Discrete Shear Gap Method and Triangular Elements

verfasst von : D. Le-Xuan, H. Pham-Quoc, V. Tran-The, N. Nguyen-Van

Erschienen in: Proceedings of the International Conference on Advances in Computational Mechanics 2017

Verlag: Springer Singapore

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Abstract

A cell-based smoothed discrete shear gap method (CS-DSG3) using three-node triangular element was recently proposed to improve the effectiveness of the discrete shear gap method (DSG3) for static and vibration analyses of isotropic Mindlin plates and shells. In this study, the CS-DSG3 is further extended for static and free vibration responses of functionally graded shells. In the present method, the first-order shear deformation theory is used in the formulation owing to the simplicity and computational efficiency. Several numerical examples are provided to validate high reliability of the CS-DSG3 in comparison with other numerical methods.

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Loy C, Lam K, Reddy J (1999) Vibration of functionally graded cylindrical shells. Int J Mech Sci 41:309–324CrossRefMATH

Pradhan S, Loy C, Lam K, Reddy J (2000) Vibration characteristics of functionally graded cylindrical shells under various boundary conditions. Appl Acoust 61:111–129CrossRef

Aghdam M, Bigdeli K, Shahmansouri N (2010) A semi-analytical solution for bending of moderately thick doubly curved functionally graded panels. Mech Adv Mater Struct 17:320–327CrossRef

Su Z, Jin G, Shi S, Ye T, Jia X (2014) A unified solution for vibration analysis of functionally graded cylindrical, conical shells and annular plates with general boundary conditions. Int J Mech Sci 80(3/2014):62–80

Zhao X, Lee YY, Liew KM (2009) Thermoelastic and vibration analysis of functionally graded cylindrical shells. Int J Mech Sci 51(9/2009):694–707

Oktem A, Mantari J, Soares CG (2012) Static response of functionally graded plates and doubly-curved shells based on a higher order shear deformation theory. Eur J Mech A Solids 36:163–172CrossRefMATH

Liu B, Ferreira AJM, Xing YF, Neves AMA (2016) Analysis of functionally graded sandwich and laminated shells using a layerwise theory and a differential quadrature finite element method. Compos Struct 136(2016/02/01/2016):546–553

Liu G, Nguyen T (2010) Smoothed finite element methods. CRC Press, Taylor and Francis Group, NewYork

Liu G, Dai K, Nguyen T (2007) A smoothed finite element method for mechanics problems. Comput Mech 39:859–877CrossRefMATH

10.

Liu G, Nguyen T, Dai K, Lam K (2007) Theoretical aspects of the smoothed finite element method (SFEM). Int J Numer Methods Eng 71:902–930MathSciNetCrossRefMATH

11.

Liu G, Nguyen-Xuan H, Nguyen-Thoi T (2010) A theoretical study on the smoothed FEM (S-FEM) models: Properties, accuracy and convergence rates. Int J Numer Methods Eng 84:1222–1256MathSciNetCrossRefMATH

12.

Liu GR, Nguyen-Thoi T, Nguyen-Xuan H, Dai KY, Lam KY (2009) On the essence and the evaluation of the shape functions for the smoothed finite element method (SFEM). Int J Numer Methods Eng 77:1863–1869CrossRefMATH

13.

Nguyen T, Liu G, Dai K, Lam K (2007) Selective smoothed finite element method. Tsinghua Sci Technol 12:497–508MathSciNetCrossRef

14.

Liu GR, Nguyen-Thoi T, Nguyen-Xuan H, Lam KY (2009) A node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems. Comput Struct 87(1/2009):14–26

15.

Nguyen-Thoi T, Liu G, Nguyen-Xuan H (2009) Additional properties of the node-based smoothed finite element method (NS-FEM) for solid mechanics problems. Int J Comput Methods 6:633–666MathSciNetCrossRefMATH

16.

Nguyen-Thoi T, Liu G, Nguyen-Xuan H, Nguyen-Tran C (2011) Adaptive analysis using the node-based smoothed finite element method (NS-FEM). Inte J Numer Methods Biomed Eng 27:198–218MathSciNetCrossRefMATH

17.

Liu GR, Nguyen-Thoi T, Lam KY (2009) An edge-based smoothed finite element method (ES-FEM) for static, free and forced vibration analyses of solids. J Sound Vib 320(3/6/2009):1100–1130

18.

Nguyen-Thoi T, Liu G, Nguyen-Xuan H (2011) An n-sided polygonal edge-based smoothed finite element method (nES-FEM) for solid mechanics. Inte J Numer Methods Biomed Eng 27:1446–1472MATH

19.

Nguyen-Thoi T, Liu G, Lam K, Zhang G (2009) A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements. Int J Numer Methods Eng 78:324–353MathSciNetCrossRefMATH

20.

Cui X, Liu G, Li G, Zhao X, Nguyen-Thoi T, Sun G (2008) A smoothed finite element method (SFEM) for linear and geometrically nonlinear analysis of plates and shells. Comput Model Eng Sci 28:109–125MathSciNetMATH

21.

Nguyen-Thoi T, Phung-Van P, Luong-Van H, Nguyen-Van H, Nguyen-Xuan H (2012) A cell-based smoothed three-node Mindlin plate element (CS-MIN3) for static and free vibration analyses of plates. Comput Mech:1–17

22.

Nguyen-Xuan H, Liu G, Thai-Hoang CA, Nguyen-Thoi T (2010) An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates Comput Methods Appl Mech Eng 199:471–489

23.

Nguyen-Thoi T, Phung-Van P, Thai-Hoang C, Nguyen-Xuan H (2013). A cell-based smoothed discrete shear gap method (CS-DSG3) using triangular elements for static and free vibration analyses of shell structures. Int J Mech Sci 74(9/2013):32–45

24.

Bletzinger K-U, Bischoff M, Ramm E (2000) A unified approach for shear-locking-free triangular and rectangular shell finite elements. Comput Struct 75(4/2000):321–334

25.

Nguyen-Thoi T, Bui-Xuan T, Phung-Van P, Nguyen-Xuan H, Ngo-Thanh P (2013) Static, free vibration and buckling analyses of stiffened plates by CS-FEM-DSG3 using triangular elements. Comput Struct 125:100–113CrossRef

26.

Phung-Van P, Nguyen-Thoi T, Tran LV, Nguyen-Xuan H (2013) A cell-based smoothed discrete shear gap method (CS-DSG3) based on the C 0-type higher-order shear deformation theory for static and free vibration analyses of functionally graded plates. Comput Mater Sci 79:857–872CrossRef

27.

Phung-Van P, Nguyen-Thoi T, Le-Dinh T, Nguyen-Xuan H (2013) Static and free vibration analyses and dynamic control of composite plates integrated with piezoelectric sensors and actuators by the cell-based smoothed discrete shear gap method (CS-FEM-DSG3). Smart Mater Struct 22:095026CrossRef

28.

Phung-Van P, Nguyen-Thoi T, Luong-Van H, Thai-Hoang C, Nguyen-Xuan H (2014) A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) using layerwise deformation theory for dynamic response of composite plates resting on viscoelastic foundation. Comput Methods Appl Mech Eng 272:138–159MathSciNetCrossRefMATH

29.

Nguyen-Hoang S, Phung-Van P, Natarajan S, Kim H-G (2016) A combined scheme of edge-based and node-based smoothed finite element methods for Reissner–Mindlin flat shells. Eng Comput 32:267–284 (SCIE-Springer)

30.

Nguyen-Thoi T, Phung-Van P, Nguyen-Xuan H, Thai-Hoang C (2012) A cell-based smoothed discrete shear gap method using triangular elements for static and free vibration analyses of Reissner-Mindlin plates. Int J Numer Methods Eng 91:705–741MathSciNetCrossRefMATH

31.

Alijani F, Amabili M, Karagiozis K, Bakhtiari-Nejad F (2011) Nonlinear vibrations of functionally graded doubly curved shallow shells. J Sound Vib 330:1432–1454CrossRef

32.

Matsunaga H (2008) Free vibration and stability of functionally graded shallow shells according to a 2D higher-order deformation theory. Compos Struct 84:132–146CrossRef

33.

Chorfi S, Houmat A (2010) Non-linear free vibration of a functionally graded doubly-curved shallow shell of elliptical plan-form. Compos Struct 92:2573–2581CrossRef

Titel: Static and Free Vibration Analysis of Functionally Graded Shells Using a Cell-Based Smoothed Discrete Shear Gap Method and Triangular Elements
verfasst von: D. Le-Xuan
H. Pham-Quoc
V. Tran-The
N. Nguyen-Van
Verlag: Springer Singapore
Buch: Proceedings of the International Conference on Advances in Computational Mechanics 2017
Print ISBN: 978-981-10-7148-5

Electronic ISBN: 978-981-10-7149-2

Copyright-Jahr: 2018
DOI: https://doi.org/10.1007/978-981-10-7149-2_26

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