Dynamic stability of sandwich bar compressed by periodically variable force

• Autorzy: Morzuch W.
• Konferencja: Symposium Vibrations In Physical Systems (23 ; 28-31.05.2008 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The work presents an analysis of dynamic buckling of a sandwich bar compressed by a periodically variable force. In order to determine the stability of the bar transverse motion, equations of its transverse vibration were formulated. From the equations of motion, differential equations interrelating of the bar dynamic deflection with space and time were derived. The partial differential equations were solved using the method of separation of variables (Fourier’s method). Then an ordinary differential equation (Hill’s equation) describing the bar vibration was solved. An analysis of the solution became the basis for determining the regions of sandwich bar motion instability. Finally, the critical damping coefficient values at which parametric resonance occurs have been calculated.

Słowa kluczowe

EN

sandwich bar; stability

PL

pręt warstwowy; stateczność

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2008
• Tom: Vol. 23
• Strony: 271--276
• Opis fizyczny: Bibliogr. 5 poz., rys., 1 wykr.

Twórcy

autor

Morzuch W.

• Wrocław University of Science, Wybrzeże Wyspiańskiego 27

Bibliografia

• 1. Dżygadło Z., Kaliski S., Solarz L., Włodarczyk E., Vibrations and waves, WAT, Warsaw 1965.
• 2. McLachlan N. W., Theory and application of Mathieu Functions, Oxford 1947.
• 3. Morzuch W., Dynamic stability of a sandwich bar compressed by a time-dependent force [in Polish], Rozprawy Inżynierskie, 37, 2, 1989.
• 4. Plantema J.F., Sandwich construction, Stanford University, London 1966.
• 5. Romanów F., Stricker L., Teisseyre J.: Stability of sandwich structures [in Polish], Skrypt Politechniki Wrocławskiej, Wrocław 1972.