기계시스템의 정적 평형상태 해석을 위한 수치해석 방안 연구
The Numerical Method for Quasi-Static Analysis of Mechanical System
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In this study, the system Jacobian matrix is derived using symbolic method and developing general program to analyze quasi-static problem for mechanical system. The constraint equations in terms of generalized coordinates are generated symbolically by using the symbolic computation tool such as Maple, and then, the differentiation can be carried out easily. An algorithm based on Lagrange polynomial is developed to ensure efficiency and accuracy associated with numerical differentiation. The derived Jacobian matrix for a system is proved to be valid and accurate both analytically and through solution of numerical example. In order to verify the accuracy of a program, I was verified applying the 4-bar system.
Abstract
In this study, the system Jacobian matrix is derived using symbolic method and developing general program to analyze quasi-static problem for mechanical system. The constraint equations in terms of generalized coordinates are generated symbolically by using the symbolic computation tool such as Maple, and then, the differentiation can be carried out easily. An algorithm based on Lagrange polynomial is developed to ensure efficiency and accuracy associated with numerical differentiation. The derived Jacobian matrix for a system is proved to be valid and accurate both analytically and through solution of numerical example. In order to verify the accuracy of a program, I was verified applying the 4-bar system.
참고문헌 (7)
- Edward J. Haug, "Computer Aided Kinematics and Dynamics of Mechanical Systems" (1989), Allyn and Bacon
- P. E. Nikravesh, "Computer-Aided Analysis of Mechanical Systems" (1988), Prentice Hall
- Maplesoft, a division of Waterloo Maple Inc., "Maple User Manual", ~ (2013)
- J. I. LEE, "Design Method of Automobile Suspension", J. of Korean Soc. of Mechanical Technology, 6(2) (2004)
- 안기원, "유연 다물체 동력학모델을 이용한 크랭크트레인 동응력 해석", 한국기계기술학회지, 12(4), pp.67~74 (2010), 한국기계기술학회
- Kinematic Design Sensitivity Analysis of Suspension Systems Using Direct Differentiation, "H.K.Min", ~, pp.SAE No. 97370005
- Jaewook Lee, "Construction of System Jacobian in the Equations of Motion Using Velocity Transformation Technique", KSME, 25(12), pp.1966~1973 (2001)