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

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Aug 10, 2023 406 likes •553 views

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

SLIDE 1

Introduction to Seismic Essentials in Groningen

SLIDE 2

2.2

Structural Dynamics

Dynamic Behaviour of a Building – Representation by Single Degree and Two Degrees of Freedom Systems

Prof Andrei Metrikine MPhys PhD DSc – TU Delft

SLIDE 3

Damping

Walls Joints Additional damping devices

Dissipation of energy always takes place in the course of structural vibrations

SLIDE 4

Effect of damping on free vibration of SDOF

SDOF without damping SDOF with a viscous damper

SLIDE 5

Modelling of damping in SDOF

m m k k c – damping coefficient

SLIDE 6

Free vibration of SDOF with damping

SLIDE 7

Effect of damping on forced vibration of SDOF

U/u0

SLIDE 8

Vibrations of 2 DOF systems

1st DOF 2nd DOF

SLIDE 9

Vibrations of 2 DOF systems

SLIDE 10

2 DOF versus SDOF systems

SDOF 2 DOF Resonance

1 natural frequency 1 resonance frequency 2 natural frequencies 2 resonance frequencies

Modes No modes Natural modes

SLIDE 11

Examples of free vibrations of 2 DOF

In-phase vibrations Anti-phase vibrations

SLIDE 12

Thank you for your attention.

SLIDE 13

2.2

References and further reading

Chopra, A.K. (2005). Earthquake Dynamics of Structures - a Primer. Published by EERI (Earthquake 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.