Transient dynamic and free vibration analysis of functionally graded truncated conical shells with non-uniform thickness subjected to mechanical shock loading |
| |
| Authors: | AR Setoodeh M Tahani E Selahi |
| |
| Affiliation: | 1. Faculty of Mechanical & Aerospace Engineering, Shiraz University of Technology, Shiraz, Iran;2. Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran;1. Department of Aerospace Engineering, Sharif University of Technology, Tehran, Iran;2. Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada;3. Department of Mechanical Engineering, Khalifa University, Abu Dhabi, United Arab Emirates;4. Department of Civil and Architectural Engineering, City University of Hong Kong, Kowloon, Hong Kong;1. College of Information Science and Technology, Shanghai Ocean University, Shanghai 201306, China;2. Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong Special Administrative Region;3. City University of Hong Kong Shenzhen Research Institute Building, Shenzhen Hi-Tech Industrial Park, Nanshan District, Shenzhen, China;1. College of Civil Engineering and Architecture, Zhejiang University, Yuhangtang Road 866#, Hangzhou 310058, People’s Republic of China;2. School of Civil and Environmental Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore;3. School of Civil Engineering and Architecture, Weifang University, Dongfengdong Street 5147#, Weifang 261061, People’s Republic of China;4. Department of Civil and Environmental Engineering, National University of Singapore, 1 Engineering Drive 2, E1A 07-03, Singapore 117576, Singapore |
| |
| Abstract: | This paper is focused on the transient dynamic and free vibration analysis of functionally graded (FG) axisymmetric truncated conical shells with non-uniform thickness. Two numerically efficient and accurate solution methods are presented to study the transient dynamic responses of FG shells subjected to either internal or external mechanical shock loading. Employing the displacement-based layerwise theory in conjunction with the Hamilton’s principle, the transversely discretized equations of motion are obtained. The differential quadrature method (DQM) is used to discretize the resulting equations in the axial direction. To solve the developed time-dependent equations, either DQM (named LWDQ) or Newmark’s time integration scheme (named LWDQN) is employed. The material properties are graded continuously in the thickness direction according to a volume fraction power-law distribution. The developed results are successfully compared with those obtained by ANSYS and also with the available results in the literature. The comparisons demonstrate the accuracy and effectiveness of the aforementioned methods on achievement of fast convergence rate with relatively low computational cost. Finally, the effects of different geometric and material parameters on the dynamic behavior of the FG shells are investigated. Due to high accuracy of the method, the results can be used as benchmarks for future research. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
