i-manager Publications

Free Vibration Analysis of Laminated Composite Conoidal Shells Using Six Node Linear Strain Triangle Elements

Sriram Sowmya*, K. N. V. Chandrasekhar**

*-** Department of Civil Engineering, CVR College of Engineering, Hyderabad, India.

Periodicity:September - November'2019
DOI : https://doi.org/10.26634/jste.8.3.16442

Abstract

Laminated composites are one of the evolving materials in the field of civil engineering construction materials. The main focus of this study is to perform free vibrational analysis of laminated composite conoidal shells. The formulation is done using six node linear strain triangle elements. Finite element coding is done using ForTran to form the global stiffness matrix and global mass matrix. The non-dimensional fundamental frequencies and corresponding mode shapes are determined using Matlab®. Several problem cases with different boundary conditions, varying the geometry curvature ratios' and several types of laminae were used to conduct this study. The results are then compared with those given in the literature. The non-dimensional fundamental frequencies obtained using six node linear strain triangle element are in good agreement with those given in the literature using eight node quadrilateral elements. The fundamental frequency increases with the increase in the number of constraints and the case of lamina 45/-45/45/-45 gave the highest frequency for most of the boundary conditions.

Keywords

laminate, shell, conoidal, free vibration, LST, composite, linear strain triangle

How to Cite this Article?

Sowmya, S., and Chandrasekhar, K. N. V. (2019). Free Vibration Analysis of Laminated Composite Conoidal Shells Using Six Node Linear Strain Triangle Elements. i-manager's Journal on Structural Engineering, 8(3), 1-13. https://doi.org/10.26634/jste.8.3.16442

References

[1]. Bakshi, K., & Chakravorty, D. (2014). Relative performances of composite conoidal shell roofs with parametric variations in terms of static, free and forced vibration behavior. International Journal of Civil Engineering, 12(2), 299-311.

[2]. Chakravorty, D., Bandyopadhyay, J. N., & Sinha, P. K. (1995). Finite element free vibration analysis of conoidal shells. Computers & Structures, 56(6), 975-978. https://doi.org/10.1016/0045-7949(94)00552-E

[3]. Chakravorty, D., Sinha, P. K., & Bandyopadhyay, J. N. (1998). Applications of FEM on free and forced vibration of laminated shells. Journal of Engineering Mechanics, 124(1), 1-8. https://doi.org/10.1061/(A SCE)0733- 9399(1998)124:1(1)

[4]. Choi, C. K. (1984). A conoidal shell analysis by modified isoparametric element. Computers & Structures, 18(5), 921-924. https://doi.org/10.1016/0045- 7949(84)90037-3

[5]. Das, A. K., & Bandyopadhyay, J. N. (1993). Theoretical and experimental studies on conoidal shells. Computers & Structures, 49(3), 531-536. https://doi.org/ 10.1016/0045-7949(93)90054-H

[6]. Das, H. S., & Chakravorty, D. (2007). Design aids and selection guidelines for composite conoidal shell roofs—A finite element application. Journal of Reinforced Plastics and Composites, 26(17), 1793-1819. https://doi.org/10.1177/0731684407081380

[7]. Das, H. S., & Chakravorty, D. (2008). Natural frequencies and mode shapes of composite conoids with complicated boundary conditions. Journal of Reinforced Plastics and Composites, 27(13), 1397-1415. https://doi.org/10.1177/0731684407086508

[8]. Ghosh, B., & Bandyopadhyay, J. N. (1989). Bending analysis of conoidal shells using curved quadratic isoparametric element. Computers & Structures, 33(3), 717-728. https://doi.org/10.1016/0045-7949(89)90245-9

[9]. Ghosh, B., & Bandyopadhyay, J. N. (1990). Approximate bending analysis of conoidal shells using the galerkin method. Computers & Structures, 36(5), 801- 805. https://doi.org/10.1016/0045-7949(90)90150-Z

[10]. Irie, T., Yamada, G., & Muramoto, Y. (1984). Free vibration of joined conical-cylindrical shells. Journal of Sound and Vibration, 95(1), 31-39. https://doi.org/10. 1016/0022-460X(84)90256-6

[11]. Natarajan, S., Deogekar, P. S., Manickam, G., & Belouettar, S. (2014). Hygrothermal effects on the free vibration and buckling of laminated composites with cutouts. Composite Structures, 108, 848-855. https://doi.org/10.1016/j.compstruct.2013.10.009

[12]. Reddy, J. N. (1984). Exact solutions of moderately thick laminated shells. Journal of Engineering Mechanics, 110(5), 794-809. https://doi.org/10.1061/(ASCE)0733- 9399(1984)110:5(794)

[13]. Tong, L. (1993). Free vibration of composite laminated conical shells. International Journal of Mechanical Sciences, 35(1), 47-61. https://doi.org/10. 1016/0020-7403(93)90064-2

[14]. Ye, T., Jin, G., Chen, Y., Ma, X., & Su, Z. (2013). Free vibration analysis of laminated composite shallow shells with general elastic boundaries. Composite Structures, 106, 470-490. https://doi.org/10.1016/j.compstruct. 2013.07.005

If you have access to this article please login to view the article or kindly login to purchase the article

Single Article

	North Americas,UK, Middle East,Europe		India	Rest of world
	USD	EUR	INR	USD-ROW
Online	15	15

ADD TO CART

Options for accessing this content:

If you would like institutional access to this content, please recommend the title to your librarian.
If you already have i-manager's user account: Login above and proceed to purchase the article.
New Users: Please register, then proceed to purchase the article.