Introduction to Seismic Essentials in Groningen Structural Dynamics - PowerPoint PPT Presentation

Introduction to Seismic Essentials in Groningen

Structural Dynamics 2.2 Dynamic Behaviour of a Building – Representation by Single Degree and Two Degrees of Freedom Systems Prof Andrei Metrikine MPhys PhD DSc – TU Delft

Damping Dissipation of energy always takes place in the course of structural vibrations Walls Joints Additional damping devices

Effect of damping on free vibration of SDOF SDOF without damping SDOF with a viscous damper

Modelling of damping in SDOF m m k k c – damping coefficient

Free vibration of SDOF with damping

Effect of damping on forced vibration of SDOF U/u 0

Vibrations of 2 DOF systems 1 st DOF 2 nd DOF

Vibrations of 2 DOF systems

2 DOF versus SDOF systems SDOF 2 DOF 1 natural frequency 2 natural frequencies Resonance 1 resonance frequency 2 resonance frequencies Modes No modes Natural modes

Examples of free vibrations of 2 DOF In-phase vibrations Anti-phase vibrations

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References and further reading Chopra, A.K. (2005). Earthquake Dynamics of Structures - a Primer. Published by EERI (Earthquake 2.2 Engineering Research Institute). Hart, G.C. and Wong, K (2000). Structural Dynamics for Structural Engineers. Published by Wiley. Thomson, W.T. and Dahleh, M.D . (1998). Theory of Vibrations with Applications. Published by Upper Saddle River, N.J.: Prentice Hall.