FREE VIBRATION AND BUCKLING ANALYSIS OF COMPOSITE LAMINATED SHELLS USING THE REFINED ZIGZAG THEORY

被引:0
作者
Zhang H. [1 ]
Gao Y. [2 ,3 ]
He D. [1 ]
Yang W. [4 ]
机构
[1] Department of Aeronautics and Astronautics, Shenyang Aerospace University, Shenyang
[2] College of Aerospace Science and Engineering, National University of Defense Technology, Changsha
[3] Beijing Institute of Astronautical Systems Engineering, Beijing
[4] Department of Mechanics, Huazhong University of Science and Technology, Wuhan
来源
Journal of Theoretical and Applied Mechanics (Poland) | 2022年 / 60卷 / 03期
关键词
buckling; composite; free vibration; refined zigzag theory; shell;
D O I
10.15632/JTAM-PL/150847
中图分类号
学科分类号
摘要
In this study, a new composite laminated shell model is proposed for free vibration and stability analysis based on the refined zigzag theory (RZT). In contrast to the published shell models based on the first-order shear deformation theory (FSDT), piecewise-linear zigzag functions are utilized to provide a more realistic representation of deformation states of a transverse shear-flexible shell. In the present formulation, the governing equations and boundary conditions of composite laminated shells are established by d'Alembert's principle to obtain natural frequencies and critical buckling loadings. In order to evaluate the effectiveness and performance of the present new model for composite laminated shells, examples of free vibration and buckling analysis are carried out for cylindrical and spherical shells involving different lamination schemes and design parameters. The results are compared with the three dimensional (3D) exact, first-order and some high-order solutions in the literature. Numerical results show that the present model not only has high accuracy but also has superior computational efficiency in comparison with high-order models, such that it may show a great potential in engineering applications. © 2022 Polish Society of Theoretical and Allied Mechanics. All rights reserved.
引用
收藏
页码:435 / 448
页数:13
相关论文
共 25 条
[1]  
AVERILL R.C., YIP Y.C., Development of simple, robust finite elements based on refined theories for thick laminated beams, Computers and Structures, 59, pp. 529-546, (1996)
[2]  
BHIMARADDI A., Free vibration analysis of doubly curved shallow shells on rectangular planform using three-dimensional elasticity theory, International Journal of Solids and Structures, 27, pp. 897-913, (1991)
[3]  
CHERN Y., CHAO C.C., Comparison of natural frequencies of laminates by 3-D theory, Part II: Curved panels, Journal of Sound and Vibration, 230, pp. 1009-1030, (2000)
[4]  
DUAN H.Y., LIANG G.P., Mixed and nonconforming finite element approximations of Reissner-Mindlin plates, Computer Methods in Applied Mechanics and Engineering, 192, pp. 5265-5281, (2003)
[5]  
EIJO A., ONATE E., OLLER S., A four-noded quadrilateral element for composite laminated plates/shells using the refined zigzag theory, International Journal for Numerical Methods in Engineering, 95, pp. 631-660, (2013)
[6]  
IURLARO L., GHERLONE M.D., DI SCIUVA M., TESSLER A., Refined zigzag theory for laminated composite and sandwich plates derived from Reissner's mixed variational theorem, Composite Structures, 133, pp. 809-817, (2015)
[7]  
KHDEIR A.A., REDDY J.N., FREDERICK D., A study of bending, vibration and buckling of cross-ply circular cylindrical shells with various shell theories, International Journal of Engineering Science, 27, pp. 1337-1351, (1989)
[8]  
KUMAR A., CHAKRABARTI A., BHARGAVA P., Vibration of laminated composites and sandwich shells based on higher order zigzag theory, Engineering Structures, 56, pp. 880-888, (2013)
[9]  
LAM K.Y., NG T.Y., QIAN W., Vibration analysis of thick laminated composite cylindrical shells, AIAA Journal, 38, pp. 1102-1107, (2000)
[10]  
LI Z.M., WANG M., Large-amplitude vibration analysis of 3D braided composite cylindrical shells in an elastic medium, Journal of Aerospace Engineering, 29, (2016)