Journal
CHINA OCEAN ENGINEERING
Volume 35, Issue 4, Pages 544-553Publisher
CHINA OCEAN PRESS
DOI: 10.1007/s13344-021-0049-5
Keywords
tapered Rayleigh beam; flapwise bending vibration; variational iteration; natural frequencies; convergence
Funding
- National Natural Science Foundation of China [51779265, 52171285]
- Open Project Program of State Key Laboratory of Structural Analysis for Industrial Equipment [GZ19119]
- Science Foundation of China University of Petroleum, Beijing [2462020YXZZ045]
- Open Project Program of Beijing Key Laboratory of Pipeline Critical Technology and Equipment for Deepwater Oil & Gas Development [BIPT2018002]
- Special Funding for Promoting Economic Development in Guangdong Province
- GDOE
- Opening fund of State Key Laboratory of Hydraulic Engineering Simulation and Safety [HESS-1411]
Ask authors/readers for more resources
The flapwise bending vibrational equations of tapered Rayleigh beam were derived using Hamilton's principle and investigated using VIM. The study focused on the vibrational characteristics of rotating tapered Rayleigh beams under different conditions, and results showed that VIM can efficiently and accurately yield precise results.
The flapwise bending vibrational equations of tapered Rayleigh beam are derived based on Hamilton's principle. The corresponding vibrational characteristics of rotating tapered Rayleigh beams are investigated via variational iteration method (VIM). Natural frequencies and corresponding mode shapes are examined under various rotation speed, taper ratio and slenderness ratio focusing on two types of tapered beam. The convergence of VIM is examined as part of the paper. Validation of VIM solution is made by referring to results available in other literature and corresponding results show that VIM is capable of yielding precise results in a very efficient way.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available