Dynamic buckling of a sandwich bar compressed by periodically variable force

• Autorzy: Morzuch W.
• Języki publikacji: EN

Abstrakty

EN

The paper 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 bars; stability

PL

stabilność; pręt warstwowy

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2007
• Tom: Vol. 55, iss. 1
• Strony: 217--227

Twórcy

autor

Morzuch W.

• Wrocław University of Technology Wrocław, Poland

Bibliografia

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