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Acta Mechanica

Erschienen in:

03.07.2023 | Original Paper

Dynamic analysis of laminated composite double cylindrical and conical shells with bulkheads using meshfree method

verfasst von: Jangsu Kim, Cholnam Om, Dokgil Kang, Kwonryong Hong, Tong Ho Choe

Erschienen in: Acta Mechanica | Ausgabe 10/2023

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Abstract

In this paper, the free vibration and dynamic response of laminated composite double cylindrical and conical shells with bulkheads are investigated by means of the meshfree method. The laminated composite double conical shell with bulkheads (DCOSB) is divided into several conical shells and annular plates to ensure the numerical stability. The theoretical formulation of the individual segment is established by using the energy principle in framework of first order shear deformation theory (FSDT). The displacement components of each segment are approximated by a meshfree shape function along the meridional direction and Fourier series for the circumferential direction. The formulation of entire system are derived by using coupling conditions obtained through the geometrical relations between the segments. The double cylindrical shell with bulkheads (DCYSB) is considered as a DCOSB with semi-vertex angle of α = 0. The harmonic load and stationary stochastic excitation are considered as the external force. Convergence and verification studies are performed to confirm the reliability and accuracy of the present formulation. Satisfactory agreements are achieved between the numerical results by the proposed method and those from the published literature. Finally, the effect of some parameters on the free vibration and dynamic response of laminated composite DCYSB and DCOSB is presented.

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Jin, G., Ye, T., Jia, X., Gao, S.: A general Fourier solution for the vibration analysis of composite laminated structure elements of revolution with general elastic restraints. Compos. Struct. 109, 150–168 (2014)

Zhang, Y., Wang, C., Pedroso, D., Zhang, H.: Extension of Hencky bar-net model for vibration analysis of rectangular plates with rectangular cutouts. J. Sound Vib. 432, 65–87 (2018)

Zhang, H., Zhu, R., Shi, D., Wang, Q.: A simplified plate theory for vibration analysis of composite laminated sector, annular and circular plate. Thin Walled Struct. 143, 106252 (2019)

Khare, S., Mittal, N.D.: Free vibration of thick laminated circular and annular plates using three-dimensional finite element analysis. Alex. Eng. J. 57, 1217–1228 (2018)

Qin, B., Zhong, R., Wu, Q., Wang, T., Wang, Q.: A unified formulation for free vibration of laminated plate through Jacobi-Ritz method. Thin Walled Struct. 144, 106354 (2019)

Xie, X., Jin, G., Li, W., Liu, Z.: A numerical solution for vibration analysis of composite laminated conical, cylindrical shell and annular plate structures. Compos. Struct. 111, 20–30 (2014)

Fallah, N., Delzendeh, M.: Free vibration analysis of laminated composite plates using meshless finite volume method. Eng. Anal. Bound. Elem. 88, 132–144 (2018)MathSciNetMATH

Mantari, J.L., Oktem, A.S., Soares, C.G.: A new higher order shear deformation theory for sandwich and composite laminated plates. Comp. Part B 43, 1489–1499 (2012)

Choe, K., Kim, K., Wang, Q.: Dynamic analysis of composite laminated doubly-curved revolution shell based on higher order shear deformation theory. Compos. Struct. 225, 111155 (2019)

10.

Thai, C.H., Nguyen-Xuan, H., Bordas, S.P.A., Nguyen-Thanh, N., Rabczuk, T.: Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory. Mech. Adv. Mater. Struct. 22, 451–469 (2015)

11.

Zhou, J., Bhaskar, A., Zhang, X.: Sound transmission through double cylindrical shells lined with porous material under turbulent boundary layer excitation. J. Sound Vib. 357, 253–268 (2015)

12.

Zhang, Q., Mao, Y., Qi, D.: Effect of perforation on the sound transmission through a double-walled cylindrical shell. J. Sound Vib. 410, 344–363 (2017)

13.

Ramezani, H., Talebitooti, R.: Vibroacoustic response of a double-walled cylindrical FGM shell with a porous sandwiched layer. Mech. Compos. Mater. 51, 581–592 (2015)

14.

Yin, C., Jin, Z., Chen, Y., Hua, H.: Effects of sacrificial coatings on stiffened double cylindrical shells subjected to underwater blasts. Int. J. Impact Eng. 136, 103412 (2020)

15.

Zhang, C., Jin, G., Ma, X., Ye, T.: Vibration analysis of circular cylindrical double-shell structures under general coupling and end boundary conditions. Appl. Acoust. 110, 176–193 (2016)

16.

Ma, X., Jin, G., Xiong, Y., Liu, Z.: Free and forced vibration analysis of coupled conical-cylindrical shells with arbitrary boundary conditions. Int. J. Mech. Sci. 88, 122–137 (2014)

17.

Shakouri, M.: Free vibration analysis of functionally graded rotating conical shells in thermal environment. Comp. Part B 163, 574–584 (2019)

18.

Haddadpour, H., Mahmoudkhani, S., Navazi, H.M.: Free vibration analysis of functionally graded cylindrical shells including thermal effects. Thin Walled Struct. 45, 591–599 (2007)

19.

Jooybar, N., Malekzadeh, P., Fiouz, A., Vaghefi, M.: Thermal effect on free vibration of functionally graded truncated conical shell panels. Thin Walled Struct. 103, 45–61 (2016)

20.

Sheikh, A.H., Mukhopadhyay, M.: Linear and nonlinear transient vibration analysis of stiffened plate structures. Finite Elem. Anal. Des. 38, 477–502 (2002)MATH

21.

De Rosa, S., Franco, F.: Exact and numerical responses of a plate under a turbulent boundary layer excitation. J. Fluid Struct. 24(2), 212–230 (2008)

22.

Franco, F., De Rosa, S., Ciappi, E.: Numerical approximations on the predictive responses of plates under stochastic and convective loads. J. Fluid Struct. 42, 296–312 (2013)

23.

Zhang, Z., et al.: Non-stationary random vibration analysis for train–bridge systems subjected to horizontal earthquakes. Eng. Struct. 32(11), 3571–3582 (2010)

24.

Dogan, V.: Nonlinear vibration of FGM plates under random excitation. Compos. Struct. 95, 366–374 (2013)

25.

Zhou, K., Ni, Z., Huang, X., Hua, H.: Stationary/nonstationary stochastic response analysis of composite laminated plates with aerodynamic and thermal loads. Int. J. Mech. Sci. 173, 105461 (2020)

26.

Chen, G., Zhou, J., Yang, D.: Benchmark solutions of stationary random vibration for rectangular thin plate based on discrete analytical method. Probabilist. Eng. Mech. 50, 17–24 (2017)

27.

Lin, J., Zhao, Y., Zhang, Y.: Accurate and highly efficient algorithms for structural stationary/non-stationary random responses. Comput. Methods Appl. Mech. Eng. 191, 103–111 (2001)MATH

28.

Fantuzzi, N., Tornabene, F., Bacciocchi, M., Ferreira, A.J.M.: On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models. J. Compos. Sci. 16, 1–50 (2018). https://doi.org/10.3390/jcs2010016CrossRef

29.

Bediz, B.: A spectral-Tchebychev solution technique for determining vibrational behavior of thick plates having arbitrary geometry. J. Sound Vib. 432, 272–289 (2018)

30.

Yagci, B., Filiz, S., Romero, L.L., Ozdoganlar, O.B.: A spectral-Tchebychev technique for solving linear and nonlinear beam equations. J. Sound Vib. 321, 375–404 (2009)

31.

Ali, M.I., Azam, M.S., Ranjan, V., Banerjee, J.R.: Free vibration of sigmoid functionally graded plates using the dynamic stiffness method and the Wittrick-Williams algorithm. Comp. Struct. 244, 106424 (2021)

32.

Kumar, S., Ranjan, V., Jana, P.: Free vibration analysis of thin functionally graded rectangular plates using the dynamic stiffness method. Compos. Struct. 197, 39–53 (2018)

33.

Yadav, S., Kumar, P.: Free vibration analysis of an orthotropic plate by dynamic stiffness method and Wittrick–Williams algorithm. Mater. Today Proc. 47(13), 4046–4051 (2021)

34.

Liu, G.R., Gu, Y.T.: An Introduction to Meshfree Methods and Their Programming. Springer, Dordrecht (2005)

35.

Kwak, S., Kim, K., Jang, P., Ri, Y., Kim, I.: A meshfree local weak-form method for free vibration analysis of an open laminated cylindrical shell with elliptical section. Compos. Struct. 275, 114484 (2021)

36.

Mellouli, H., Jrad, H., Wali, M., Dammak, F.: Free vibration analysis of FG-CNTRC shell structures using the meshfree radial point interpolation method. Comput. Math. Appl. 79, 3160–3178 (2020)MathSciNetMATH

37.

Dai, M.J., Tanaka, S., Sadamoto, S., Yu, T., Bui, T.Q.: Advanced reproducing kernel meshfree modeling of cracked curved shells for mixed-mode stress resultant intensity factors. Eng. Fract. Mech. 233, 107012 (2020)

38.

Guo, H., Cao, S., Yang, T., Chen, Y.: Vibration of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element-free IMLS-Ritz method. Int. J. Mech. Sci. 142–143, 610–621 (2018)

39.

Wang, J.F., Yang, J.P., Lai, S.K., Zhang, W.: Stochastic meshless method for nonlinear vibration analysis of composite plate reinforced with carbon fibers. Aerosp. Sci. Technol. 105, 105919 (2020)

40.

Ozdemir, M., Sadamoto, S., Tanaka, S., Okazawa, S., Yu, T.T., Bui, T.Q.: Application of 6-DOFs meshfree modeling to linear buckling analysis of stiffened plates with curvilinear surfaces. Acta. Mech. 229, 4995–5012 (2018)MathSciNetMATH

41.

Sadamoto, S., Ozdemir, M., Tanaka, S., Taniguchi, K., Yu, T.T., Bui, T.Q.: An effective meshfree reproducing kernel method for buckling analysis of cylindrical shells with and without cutouts. Comput. Mech. 59, 919–932 (2017)MathSciNet

42.

Chen, W., Luo, W.M., Chen, S.Y., Peng, L.X.: A FSDT Meshfree method for free vibration analysis of arbitrary laminated composite shells and spatial structures. Compos. Struct. 279, 114763 (2022)

43.

Zhong, R., Wang, Q., Hu, S., Qin, B., Shuai, C.: Meshless analysis for modal properties and stochastic responses of heated laminated rectangular/sectorial plates in supersonic airflow. Eur. J. Mech. A Solids 98, 104872 (2023)MathSciNetMATH

44.

Zhong, R., Wang, Q., Hu, S., Gao, X., Qin, B., Shuai, C.: Meshless stochastic vibration for laminated quadrilateral plates considering thermal factor. Int. J. Mech. Sci. 232, 107608 (2022)

45.

Kwak, S., Kim, K., Jong, G., Cha, J., Juhyok, U.: A meshfree approach for free vibration analysis of ply drop-off laminated conical, cylindrical shells and annular plates. Acta Mech. 232, 4775–4800 (2021)MathSciNetMATH

46.

Kwak, S., Kim, K.: Three-dimensional free vibration analysis of thick laminated combination shell using a meshfree approach. AIP Adv. 11, 105306 (2021)

47.

Qu, Y., Long, X., Wu, S., Meng, G.: A unified formulation for vibration analysis of composite laminated shells of revolution including shear deformation and rotary inertia. Compos. Struct. 98, 169–191 (2013)

Titel: Dynamic analysis of laminated composite double cylindrical and conical shells with bulkheads using meshfree method
verfasst von: Jangsu Kim
Cholnam Om
Dokgil Kang
Kwonryong Hong
Tong Ho Choe
Publikationsdatum: 03.07.2023
Verlag: Springer Vienna
Erschienen in: Acta Mechanica / Ausgabe 10/2023
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-023-03628-w

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