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Dynamics of Structures a.y. 2020/2021

Programma

It is commonly accepted that every structural engineering major should have a minimum introduction to dynamics of structures to serve as a prelude to more advanced courses in earthquake engineering, blast-resistant design, random vibrations and wind engineering. This course is designed to serve this purpose. It is a basic graduate level course which studies the vibration characteristics and dynamic response of structural systems to dynamic excitations generated by earthquakes, wind, impact and blast. 
 
By the end of the course, the student is expected to have a basic understanding of:
  • Discrete single-degree, multi-degree and continuous vibratory systems,
  • Free and forced vibration response of discrete and continuous systems,
  • Applications in structural design.
 
The only requirement for this course is a customary exposure to an introductory course on dynamics, such as the basic undergraduate course: Dynamics of Rigid Bodies. The knowledge of basic mathematics, particularly the solution differential equations and numerical methods are also used extensively in this course.

Svolgimento

Week

Date

Lecture hours

From 9:00 To 12:00

Tutorial hours

From 14:00 To 16:00

Subject

Dynamics of Structures

Tot

h

1

21.09.20  Mo

10-13

 

Equation of motion for SDOF systems, its solution

3

23.09.20  We

9-12

 

Free vibration response, viscous damping

3

25.09.20  Fr

9-12

 

Response to harmonic excitation

3

23.09.20  We

 

14-16

Problem session

2

25.09.20  Fr

 

14-16

Problem session

2

2

28.09.20  Mo

9-12

 

Response to general excitation

3

30.09.20  We

9-12

 

Numerical evaluation of dynamic response

3

02.10.20  Fr

9-12

 

Generalized SDOF systems

3

30.09.20  We

 

14-16

Tutorial on numerical integration

2

02.10.20  Fr

 

14-16

Problem session- Solution of homework problems

2

3

05.10.20  Mo

9-12

 

Midterm Exam

3

07.10. 20  We

9-12

 

Equations of motion and free vibration analysis for MDOF systems

3

09.10. 20  Fr

9-12

 

Modal expansion, damping in structures, damping matrix

3

07.10. 20  We

 

14-16

Tutorial on the modelling of MDOF systems

2

09.10. 20  Fr

 

14-16

Solution of homework problems

2

4

12.10. 20  Mo

9-12

 

Modal response analysis of undamped systems

3

14.10. 20  We

9-12

 

Modal response analysis of damped systems

3

16.10. 20  Fr

9-12

 

Torsional response of 3D systems

3

14.10. 20  We

 

14-16

Tutorial on forced vibration analysis

2

16.10. 20  Fr

 

14-16

Tutorial on homework problems

2

20.10. 20  Tu

10-13

 

Final Exam  

3

Bibliografia

Suggested reading material 
In addition to specific papers and handouts indicated/delivered during classes, the following general textbooks are recommended. 
• Chopra A., “Dynamics of Structures”, Prentice Hall, Third Edition, 2007 
• Clough R.W., Penzien J., "Dynamics of structures", Computers & Structures Inc, 2003 

Software 
• Matlab: The Mathworks, 2012. MATLAB 2012b Release, Statistics Toolbox, available at http://www
.mathworks.com/products/matlab/.
• Seismosoft: “SeismoStruct - A computer program for static and dynamic nonlinear analysis of framed structures”. 2018. (http://www.seismosoft.com/seismostruct) 
• SAP2000, Computers and Structures, Inc., 2020.
• Mazzoni et al.: “OpenSEES - The open system for earthquake engineering simulation”, PEER, UC Berkeley, 2006. (http://opensees.berkeley.edu) 

Esame

Grading 
Homework assignments: 35% 
Midterm: 30% 
Final exam: 35%

Ciclo :  XXXIII, XXXIV, XXXV, XXXVI

Tipologia corso : Caratterizzante

Curriculum : Ingegneria Sismica e Sismologia

Periodo: Semestre I

Anno accademico: 2020-2021

Luogo : Online