Browse > Article

Inelastic Transient Dynamic Analysis of Two- and Three-dimensional Stress Problems by Particular Integral Boundary Element Method  

Yun, Seong-Ho (금오공과대학교 기계공학부)
Ren, Li-Min (금오공과대학교 자동차공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.21, no.5, 2008 , pp. 475-482 More about this Journal
Abstract
This paper indicates that the use of Euler angles lacks in its consistency and exactness of analysis when it was applied to incorporate the rotational equation of motion for rotor systems by previous researcher. Kinetic energy and angular velocity are different from case to case depending on the way of choosing Euler angles and thus only the linear system has been investigated even though the rotor system has a very nonlinear behavior. A new methodology is applied by using both spherical coordinate and quaternion in the rotor rotation to overcome weaknesses of Euler angles and shows its superiority It is found through numerical examples that the use of quaternion will be a more useful and valid tool to derive the numerical model of the rotor system.
Keywords
euler angle; quaternion; rotor system; finite rotation; inertial frame; moving frame;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Dooley J.R., McCarthy J.M. (1991) Spatial Rigid Body Dynamics using Dual Quaternion Components, Preceedings of the IEEE International Conference on Robotics and Automation, Sacramento, CA, USA, pp.90-95
2 윤성호, 임리민 (2008) 로터 시스템 회전운동 선형 및 비선형성, 한국전산구조공학회 학술대회 논문집, pp.190-196
3 Nelson, H.D., McVaugh J.M. (1976) The Dynamics of Rotor-bearing Systems using Finite Element, ASME Journal of Engineering for Industry, 98, pp.593-600   DOI
4 윤성호, 이동현 (2005) 4원법과 유한요소를 이용한 유연체 동 역학의 해석기법, 한국전산구조공학회 논문집, 18(2), pp.141-149   과학기술학회마을
5 Chen L.W., Ku D.M. (1991) Finite Element Analysis of Natural Whirl Speed Rotating Shaft, Computers and Structures, 40, pp.741-747   DOI   ScienceOn
6 Greenhill L.M,. Brickford J.D., Nelson, H.D. (1985) A Conical Beam Finite Element for Rotor Dynamic Analysis,' ASME Journal of Vibration and Acoustics, 107, pp.421-430   DOI   ScienceOn
7 Zorzi E.S., Nelson, H.D. (1980) The Dynamics of Rotor-bearing Systems with Axial Torque-A Finite Element Approach, Journal of Mechanical Engineering Design, 102, pp.158-161   DOI
8 Nelson, H.D. (1980) A Finite Rotating Shaft Element using Timoshenko Beam Theory, Journal of Mechanical Engineering Design, 102, pp.793-803   DOI
9 Al-Bedoor, B.O. (1999) Dynamic Model of Coupled Shaft Torsional and Blade Bending Deformations in Rotors, Computer Methods in Applied Mechanics and Engineering, 169, pp.177-190   DOI   ScienceOn
10 Mohiuddin M.A., Khulief Y.A. (1994) Modal characteristics of rotors using a conical shaft finite element, Computer Methods in Applied Mechanics and Engineering, 115, pp.125-144   DOI   ScienceOn