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Shock and Vibration
Volume 2016, Article ID 4097123, 30 pages
http://dx.doi.org/10.1155/2016/4097123
Research Article

A Unified Spectro-Geometric-Ritz Method for Vibration Analysis of Open and Closed Shells with Arbitrary Boundary Conditions

1College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China
2College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China

Received 18 September 2015; Accepted 16 December 2015

Academic Editor: Tai Thai

Copyright © 2016 Dongyan Shi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [23 citations]

The following is the list of published articles that have cited the current article.

  • Francesco Tornabene, Nicholas Fantuzzi, and Michele Bacciocchi, “The local GDQ method for the natural frequencies of doubly-curved shells with variable thickness: A general formulation,” Composites Part B-Engineering, vol. 92, pp. 265–289, 2016. View at Publisher · View at Google Scholar
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  • A. Taraghi Osguei, M.T. Ahmadian, M. Asghari, and N.M. Pugno, “Free vibration analysis of cylindrical panels with spiral cross section,” International Journal of Mechanical Sciences, 2017. View at Publisher · View at Google Scholar
  • Xianjie Shi, Chunli Li, Fengjun Wang, and Dongyan Shi, “Three-dimensional free vibration analysis of annular sector plates with arbitrary boundary conditions,” Archive of Applied Mechanics, 2017. View at Publisher · View at Google Scholar
  • Qingshan Wang, Bin Qin, Dongyan Shi, and Qian Liang, “A semi-analytical method for vibration analysis of functionally graded carbon nanotube reinforced composite doubly-curved panels and shells of revolution,” Composite Structures, 2017. View at Publisher · View at Google Scholar
  • Yunke Zhao, Dongyan Shi, and Huan Meng, “A unified spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combination with arbitrary boundary conditions,” Archive of Applied Mechanics, 2017. View at Publisher · View at Google Scholar
  • Dong Shao, Shenghai Hu, Qingshan Wang, and Fuzhen Pang, “An enhanced reverberation-ray matrix approach for transient response analysis of composite laminated shallow shells with general boundary conditions,” Composite Structures, vol. 162, pp. 133–155, 2017. View at Publisher · View at Google Scholar
  • Zeyu Shi, Xiongliang Yao, Fuzhen Pang, and Qingshan Wang, “A semi-analytical solution for in-plane free vibration analysis of functionally graded carbon nanotube reinforced composite circular arches with elastic restraints,” Composite Structures, vol. 182, pp. 420–434, 2017. View at Publisher · View at Google Scholar
  • Qingshan Wang, Kwangnam Choe, Dongyan Shi, and Kinam Sin, “Vibration analysis of the coupled doubly-curved revolution shell structures by using Jacobi-Ritz Method,” International Journal of Mechanical Sciences, 2017. View at Publisher · View at Google Scholar
  • Xiongliang Yao, Qingshan Wang, Zeyu Shi, and Fuzhen Pang, “An exact solution for the free-vibration analysis of functionally graded carbon-nanotube-reinforced composite beams with arbitrary boundary conditions,” Scientific Reports, vol. 7, no. 1, 2017. View at Publisher · View at Google Scholar
  • Qingshan Wang, Xiaohui Cui, Bin Qin, Qian Liang, and Jinyuan Tang, “A semi-analytical method for vibration analysis of functionally graded (FG) sandwich doubly-curved panels and shells of revolution,” International Journal of Mechanical Sciences, 2017. View at Publisher · View at Google Scholar
  • Hong Zhang, Qingshan Wang, Bin Qin, and Dongyan Shi, “Free vibration of functionally graded parabolic and circular panels with general boundary conditions,” Curved and Layered Structures, vol. 4, no. 1, pp. 52–84, 2017. View at Publisher · View at Google Scholar
  • Haichao Li, Xuhong Miao, Fuzhen Pang, and Xueren Wang, “A modified Fourier solution for vibration analysis of moderately thick laminated annular sector plates with general boundary conditions, internal radial line and circumferential arc supports,” Curved and Layered Structures, vol. 4, no. 1, pp. 189–220, 2017. View at Publisher · View at Google Scholar
  • Fazl E Ahad, Dongyan Shi, Zarnab Hina, and Anees Ur Rehman, “Free vibration analysis of moderately thick isotropic homogeneous open cylindrical shells using improved Fourier series method,” Journal of Vibroengineering, vol. 19, no. 5, pp. 3679–3693, 2017. View at Publisher · View at Google Scholar
  • Qian Liang, Qingshan Wang, Dongyan Shi, and Fuzhen Pang, “Free vibration of moderately thick functionally graded parabolic and circular panels and shells of revolution with general boundary conditions,” Engineering Computations (Swansea, Wales), vol. 34, no. 5, pp. 1598–1611, 2017. View at Publisher · View at Google Scholar
  • Huimin Liu, Fanming Liu, Xin Jing, Zhenpeng Wang, and Linlin Xia, “Three-Dimensional Vibration Analysis of Rectangular Thick Plates on Pasternak Foundation with Arbitrary Boundary Conditions,” Shock and Vibration, vol. 2017, pp. 1–10, 2017. View at Publisher · View at Google Scholar
  • Haichao Li, Fuzhen Pang, Xueren Wang, and Shuo Li, “Benchmark Solution for Free Vibration of Moderately Thick Functionally Graded Sandwich Sector Plates on Two-Parameter Elastic Foundation with General Boundary Conditions,” Shock and Vibration, vol. 2017, pp. 1–35, 2017. View at Publisher · View at Google Scholar
  • Lijie Li, Haichao Li, Fuzhen Pang, Xueren Wang, Yuan Du, and Shuo Li, “The Modified Fourier-Ritz Approach for the Free Vibration of Functionally Graded Cylindrical, Conical, Spherical Panels and Shells of Revolution with General Boundary Condition,” Mathematical Problems in Engineering, vol. 2017, pp. 1–32, 2017. View at Publisher · View at Google Scholar
  • Cheng Zhang, and Qingshan Wang, “Free vibration analysis of elastically restrained functionally graded curved beams based on the Mori–Tanaka scheme,” Mechanics of Advanced Materials and Structures, pp. 1–11, 2018. View at Publisher · View at Google Scholar
  • Kwangnam Choe, Qingshan Wang, Jinyuan Tang, and Cijun shui, “Vibration analysis for coupled composite laminated axis-symmetric doubly-curved revolution shell structures by unified Jacobi-Ritz Method,” Composite Structures, 2018. View at Publisher · View at Google Scholar
  • Rui Zhong, Qingshan Wang, Jinyuan Tang, Cijun shuai, and Bin Qin, “Vibration analysis of functionally graded carbon nanotube reinforced composites (FG-CNTRC) circular, annular and sector plates,” Composite Structures, 2018. View at Publisher · View at Google Scholar