Exact and approximate methods in analysis of one-dimensional mechanical systems

• Autorzy: Płaczek M.
• Języki publikacji: EN

Abstrakty

EN

Paper presents comparison of an exact Fourier method and an approximate Galerkin method in analysis of one-dimensional vibrating mechanical systems. Assumptions of the approximate method are presented. The considered systems are beams with different methods of fixing - different boundary conditions. Values of natural frequencies and dynamic flexibilities of considered systems are designated using the approximate method and compared with results obtained using the exact method.

Słowa kluczowe

EN

approximate method; approximate Galerkin method; vibrating system; dynamics

PL

metoda przybliżona; metoda przybliżona Galerkina; układ drgający; dynamika

• Wydawca: Instytut Automatyzacji Procesów Technologicznych i Zintegrowanych Systemów Wytwarzania Politechniki Śląskiej
• Czasopismo: Selected Engineering Problems
• Rocznik: 2016
• Tom: nr 7
• Strony: 37--42
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Płaczek M.

• Institute of Engineering Processes Automation and Integrated Manufacturing Systems, Faculty of Mechanical Engineering, Silesian University of Technology, Gliwice, Poland

Bibliografia

• 1. Buchacz A., Placzek M.: The analysis of vibrating systems based on the exact end approximate method, International Journal of Modern Manufacturing Technologies, Vol. II, No 1, (2010), pp. 19-24
• 2. Buchacz A., Placzek M.: Development of Mathematical Model of a Mechatronic System, Solid State Phenomena Vol. 164 (2010), Trans Tech Publications, Switzerland, pp. 319-322.
• 3. Maxwell N. D., Asokanthan S. F.: Modal characteristics of a flexible beam with multiple distributed actuators. Journal of Sound and Vibration 269 (2004), pp. 19-31.