The purpose of this study is to derive a linearized form of dynamic equations for constrained mechanical systems. The governing equations for constrained mechanical systems are generally expressed in terms of Differential-Algebraic Equations (DAEs). Conventional methods of linearization are based on the perturbation of the nonlinear DAE, where small amounts of perturbations are taken to guarantee linear characteristics of the equations. On the other hand, the proposed linearized dynamic equations are derived directly from a force equilibrium condition, not from the DAEs, with small motion assumption. This approach is straightforward and simple compared to conventional perturbation methods, and can be applicable to any constrained mechanical systems that undergo small displacement under external forces. The modeling procedure and formulation of linearized dynamic equations are demonstrated by the example of a vehicle suspension system, a typical constrained multibody system. The solution is validated by comparison with conventional nonlinear dynamic analysis and modal test results.
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e-mail: sangwoo@mailvib.snu.ac.kr
e-mail: leejm@gong.snu.ac.kr
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March 2003
Technical Papers
Force Equilibrium Approach for Linearization of Constrained Mechanical System Dynamics
Ju Seok Kang, Senior Researcher,,
Ju Seok Kang, Senior Researcher,
Chassis Design Dept., Daewoo Motor Co. Ltd., Incheon 403-714, Korea
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Sangwoo Bae, Senior Researcher,
e-mail: sangwoo@mailvib.snu.ac.kr
Sangwoo Bae, Senior Researcher
School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, 151-742, South Korea
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Jang Moo Lee, Professor,,
e-mail: leejm@gong.snu.ac.kr
Jang Moo Lee, Professor,
School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, 151-742, South Korea
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Tae Oh Tak, Associate Professor,
e-mail: totak@cc.kangwon.ac.kr
Tae Oh Tak, Associate Professor,
Dept of Mechanical Engineering, Kangwon National University, Kangwon-do, 200-701, South Korea
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Ju Seok Kang, Senior Researcher,
Chassis Design Dept., Daewoo Motor Co. Ltd., Incheon 403-714, Korea
Sangwoo Bae, Senior Researcher
School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, 151-742, South Korea
e-mail: sangwoo@mailvib.snu.ac.kr
Jang Moo Lee, Professor,
School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, 151-742, South Korea
e-mail: leejm@gong.snu.ac.kr
Tae Oh Tak, Associate Professor,
Dept of Mechanical Engineering, Kangwon National University, Kangwon-do, 200-701, South Korea
e-mail: totak@cc.kangwon.ac.kr
Contributed by the Design Automation Committee for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received Aug. 2000; rev. March 2002. Associate Editor: D. Dutta.
J. Mech. Des. Mar 2003, 125(1): 143-149 (7 pages)
Published Online: March 21, 2003
Article history
Received:
August 1, 2000
Revised:
March 1, 2002
Online:
March 21, 2003
Citation
Kang, J. S., Bae, S., Lee, J. M., and Tak, T. O. (March 21, 2003). "Force Equilibrium Approach for Linearization of Constrained Mechanical System Dynamics ." ASME. J. Mech. Des. March 2003; 125(1): 143–149. https://doi.org/10.1115/1.1541631
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