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FUNDAMENTALS OF STRUCTURAL DYNAMICS Original draft by Prof. G.D. Manolis, Department of Civil Engineering Aristotle University, Thessaloniki, Greece Final draft - Presentation Prof. P.K. Koliopoulos, Department of Structural Engineering, Technological Educational Institute of Serres, Greece Topics : Revision of single degree-of freedom vibration theory Response to sinusoidal excitation Response to impulse loading Response spectrum Multi-degree of freedom structures References : R.W. Clough and J. Penzien ‘Dynamics of Structures’ 1975 A.K.. Chopra ‘Dynamics of Structures: Theory and Applications to Earthquake Engineering’ 20011 G.D. Manolis, Analysis for Dynamic Loading, Chapter 2 in Dynamic Loading and Design of Structures, Edited by A.J. Kappos, Spon Press, London, pp. 31-65, 2001. Why dynamic analysis? Æ Loads change with time Unit impulse f(t) Harmonic load f(t) 1/ε t τ ε Ground acceleration Single degree of freedom (sdof) system c u(t) mass-spring-damper m system k f(t) Μass m (kgr, tn), spring parameter k (kN/m), viscous damper parameter c (kN*sec/m), displacement u(t) (m), excitation f(t) (kN).
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