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Nonlinear Response Analysis (a.a. 2019/20)

Programma

The objective of the course is to present, discuss, and apply state-of-the-art simulation methods for the nonlinear response of structures to earthquake loads. The course focuses strongly on the understanding of static and dynamic analysis procedures of equivalent frame models. The derivations and assumptions of the underlying structural theories and numerical solution methods are thoroughly presented and illustrated with a set of Jupyter Notebook documents and Python scripts. The course evaluation consists of three group assignments, a project addressing the complete assessment of a reinforced concrete structure – delivered in the form of a report and an oral presentation, and an individual final exam.

Svolgimento

Week

Date

Lecture hours

From____ To____

Tutorial hours

From____ To_____

Subject

Tot

h

1

May 7

(Thursday)

8h30 – 9h45

10h – 11h15

11h30 – 12h45

14h – 15h15

15h30 – 16h45

 

Motivation, course organisation and evaluation, Introduction

Linearity vs nonlinearity, Statics vs dynamics, SDOF vs MDOF

Solution methods in nonlinear problems

6h15

May 8

(Friday)

8h30 – 9h45

10h – 11h15

11h30 – 12h45

8h30 – 9h45

 

Overview of matrix structural analysis

Revision of structural dynamics

5h

2

May 12

(Tuesday)

8h30 – 9h45

10h – 11h15

14h – 15h15

15h30 – 16h45

11h30 – 12h45

 

Linear and nonlinear geometric transformations (corotational, P-Delta, etc)

Material response and uniaxial models

6h15

May 13

(Wednesday)

10h – 11h15

11h30 – 12h45

14h – 15h15

15h30 – 16h45

 

Development of beam theory differential equations

Nonlinear sectional problem

Displacement-based versus force-based formulations

 Concentrated versus distributed plasticity

5h

May 14

(Thursday)

8h30 – 9h45

10h – 11h15

11h30 – 12h45

 

Numerical integration

Response objectivity and localisation

Regularization methods

3h45

3

May 18

(Monday)

10h – 11h15

11h30 – 12h45

14h – 15h15

15h30 – 16h45

 

Energy dissipation and damping models

Nonlinear static analysis

5h

May 19

(Tuesday)

10h – 11h15

11h30 – 12h45

14h – 15h15

15h30 – 16h45

 

Selection and scaling of accelerogram

Nonlinear dynamic analysis

Simulation of diaphragm behaviour and masonry infills

5h

May 20

(Wednesday)

8h30 – 9h45

10h – 11h15

11h30 – 12h45

 

Modelling shear deformations and structural walls

2h30

4

May 28

(Thursday)

10h – 11h15

11h30 – 12h45

14h – 15h15

15h30 – 16h45

 

Beam-column joints and foundation anchorage slip

Aspects of simulation of bridge response

5h

May 29

(Friday)

10h – 11h15

 

11h30 – 12h45

Presentation of project and discussion

3h45

5

June 3

(Wednesday)

8h30 – 9h45

10h – 11h15

11h30 – 12h45

 

Soil-structure interaction

3h45

June 4

(Thursday)

10h – 11h15

11h30 – 12h45

 

Equivalent frame models for masonry structures; Pounding

2h30

June 5

(Friday)

8h30 – 9h45

10h – 11h15

11h30 – 12h45

 

Incremental dynamic analysis

Cloud Analysis, Multi-stripe

Fragility curves

3h45

6

June 10

(Wednesday)

8h30 – 12h45

 

Project presentation

 

June 12

(Friday)

9h – 12h

 

Exam

 

Ciclo :  XXXIII, XXXIV, XXXV

Tipologia corso : Caratterizzante

Curriculum : Ingegneria Sismica e Sismologia

Periodo: Semestre II

Anno accademico: 2019-2020