Stability of Flexible Mechanisms in View of Classic al Analysis of Parametric Vibration

• Autorzy: Hać M.
• Języki publikacji: EN

Abstrakty

EN

In this paper the stability analysis of flexible mechanisms is considered. The equations of motion of parametric vibration for dynamic stability are presented and as an example a slider-crank mechanism circulating at crank’s constant angular speed is considered. In order to obtain the critical running speeds the Fourier series method is used. The results show that the main resonance appears for the operating speed a little greater than double average value of the first natural frequency of the system.

Słowa kluczowe

EN

dynamic stability; flexible mechanism; finite element method

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Research
• Rocznik: 2013
• Tom: Vol. 37, No. 4
• Strony: 43--52
• Opis fizyczny: Bibliogr. 8 poz., wykr.

Twórcy

autor

Hać M.

• Warsaw University of Technology

Bibliografia

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• 2. Cleghorn, W.L., Tabarrok, B., Fenton, R.G., 1984, Critical Running Speeds and stability of high-speed flexible mechanisms, Mechanism and Machine Theory, 19, 307-317.
• 3. Hać, M., Osiński, J., 1992, Stability analysis of parametric vibration of flexible mechanisms, Machine Dynamics Problems, 3, 135-146.
• 4. Nagarajan, S., Turcic, D.A., 1990, General methods of determining stability and critical speeds for elastic mechanism systems, Mechanism and Machine Theory, 25, 209–223.
• 5. Osiński, Z., 1980, Theory of vibration (original title in Polish: Teoria drgań), PWN Warszawa.
• 6. Rakowski, G., Kacprzyk, Z., 1993, Finite element method in structure mechanics (original title in Polish: Metoda elementów skończonych w mechanice konstrukcji), WPW Warszawa.
• 7. Turcic, D.A., Midha, A., 1984, Generalized Equations of Dynamic Analysis of Elastic Mechanism Systems. Part I: Applications, ASME Journal of Dynamic Systems, Measurement and Control, 106, 249-254.
• 8. Yang, K-H., Park Y-S., 1998, Dynamic stability analysis of a flexible four-bar mechanism and its experimental investigation, Mechanism and Machine Theory, 33, 307-320.