EQE 530 EARTHQUAKE RESPONSE ANALYSIS OF STRUCTURES

EQE 530  EARTHQUAKE RESPONSE ANALYSIS OF STRUCTURES

INSTRUCTOR : Prof. Dr. Sinan Akkar

COURSE OBJECTIVES : Understanding of basic structural dynamics under earthquake induced ground motions

COURSE SYLLABUS:

Elastic response of single-degree-of-freedom (sdof) systems in time domain (3 weeks)

Lumped mass vs. distributed mass sdof systems

Equation of motion under a dynamic force or base excitation

Solution of the sdof equation of motion

Undamped and damped free vibration response

Forced vibration response: harmonic and earthquake excitations

Numerical Evaluation of dynamic response

Elastic response of single-degree-of-freedom (sdof) systems in frequency domain (3 weeks)

Complex frequency response function

Complex Fourier series

Response to arbitrary excitation by discrete Fourier transformation (DFT)

Elastic earthquake response spectra (1 week)

Response spectrum concept (acceleration, velocity and displacement response spectra)

Pseudo-velocity and pseudo-acceleration response spectra

Elastic response of multi-degree-of-freedom (mdof) systems (6 weeks)

Equations of motion under external forces

Equations of motion under earthquake base excitation

Static condensation

Undamped free vibration: eigenvalue analysis

Vibration modes and frequencies

Normalization of modal vectors

Orthogonality of model vectors

Modal expansion of displacements

Solution of equation of motion under earthquake excitation

Modal superposition procedure

Response spectrum analysis

Modal combination rules

Equivalent static (effective) modal forces

Basic code approach for mdof response (1 week)

Estimation of natural period for fundamental mode

Minimum base shear requirement

Distribution of seismic loads under assumed mode shape

Approximate torsional analysis

PREREQUISITES : -

DURATION & HOURS PER WEEK : 14 weeks  - 3 hrs/week

GRADING BASIS : 2 term exams (20% each), final exam (30%) and homework (30%)

REFERENCE TEXTBOOKS : 

Basic Earthquake Engineering: from seismology to analysis and design by Haluk Sucuoğlu and Sinan Akkar (Springer, 2014)

Dynamics of Structures (2nd edition) by Ray W. Clough and Joseph Penzien (McGraw Hill, 1993)

Structural Dynamics: an introduction to computer methods by Roy R Craig (John Wiley & Sons, 1981)

Dynamics of Structures: theory and applications to earthquake engineering (3rd edition) by Anil K. Chopra (Pearson Education, 2007)