The Stability Analysis Of a Nonlinear Spring And Damper System
碩士 === 淡江大學 === 航空太空工程學系碩士班 === 97 === A 2-D rigid body nonlinear vibration system is considered in this research. This system includes an attached rigid body absorber. Both main body and the absorber allow plunge and pitch motion. The main body is supported by a cubic spring and a non-linear damper...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2009
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| Online Access: | http://ndltd.ncl.edu.tw/handle/k625f2 |
| Summary: | 碩士 === 淡江大學 === 航空太空工程學系碩士班 === 97 === A 2-D rigid body nonlinear vibration system is considered in this research. This system includes an attached rigid body absorber. Both main body and the absorber allow plunge and pitch motion. The main body is supported by a cubic spring and a non-linear damper at the body’s elastic axis. Both two ends of the absorber are attached under the main body by linear springs. The unsteady aerodynamic force is also included in this system. This vibration system can be considered a suspension bridge section, an airfoil with pylon, or any other vibration mechanisms with under stores. The main goal of this research is to study the effects of the attached vibration absorber on a vibrating rigid body sustaining aerodynamic force and analysis stability. The analytic model is established by the Newton’s Law. The nonlinear effect is simulated by the cubic spring and nonlinear damper. The analytic solution is obtained by using the Multiple-Time-Scales method. The system stability is obtained by Floquet method. Some fixed points results are also studied. Correlations of both analytic function and numerical results are made and prove the accuracy of our model. The optimal location of this absorber for minimum main body vibration and unsteady motion is concluded in this research. The results of this research provide a better way to reduce system vibration and increasing the stability for system.
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