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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 11 (Monday) | 10h – 11h15 11h30 – 12h45 15h30 – 16h45 17h – 18h15 |
| Motivation, course organisation and evaluation, Introduction (AAC+JPA) Linearity vs nonlinearity, Statics vs dynamics, SDOF vs MDOF (AAC) Overview of matrix structural analysis (JPA) | 5h |
| May 12 (Tuesday) |
11h30 – 12h45 14h – 15h15 | 10h – 11h15
15h30 – 16h45 | Tutorial: Matrix structural analysis (TA) Revision of structural dynamics (JPA)
Tutorial: Structural dynamics (TA) | 5h | |
| May 13 (Wednesday) | 10h – 11h15 11h30 – 12h45
|
15h30 – 16h45 17h – 18h15 | Solution methods in nonlinear problems (AAC)
Tutorial: SeismoStruct and Python | 5h | |
| May 14 (Thursday) | 10h – 11h15 11h30 – 12h45
|
14h – 15h15 | Linear and nonlinear geometric transformations (JPA)
| 3h45 | |
| May 15 (Friday) | 10h – 11h15 11h30 – 12h45 |
| Material response and uniaxial models (JPA)
| 2h30 | |
| 3 | May 18 (Monday) | 10h – 11h15 11h30 – 12h45 |
| Development of beam theory differential equations Nonlinear sectional problem (JPA) | 2h30 |
| May 19 (Tuesday) | 8h30 – 9h45 10h – 11h15 |
| Displacement-based versus force-based formulations Concentrated versus distributed plasticity (JPA) | 2h30 | |
| May 20 (Wednesday) | 10h – 11h15 11h30 – 12h45 14h – 15h15 |
15h30 – 16h45 | Numerical integration Response objectivity and localisation Regularisation methods (JPA)
| 5h | |
| 4 | May 25 (Monday) | 10h – 11h15 11h30 – 12h45 14h – 15h15 15h30 – 16h45 |
| Energy dissipation and damping models
Nonlinear static analysis (AAC) | 5h |
| May 26 (Tuesday) | 10h – 11h15 11h30 – 12h45
|
14h – 15h15 15h30 – 16h45 | Nonlinear dynamic analysis (AAC) | 5h | |
| May 27 (Wednesday) | 10h – 11h15 11h30 – 12h45 15h30 – 16h45 |
| Soil-structure interaction (AAC)
| 3h45 | |
| May 29 (Friday) | 10h – 11h15 11h30 – 12h45 |
14h – 15h15 | Aspects of simulation of bridge response
Presentation of project and discussion (JPA) | 3h45 | |
| 5 | June 3 (Wednesday) | 10h – 11h15 11h30 – 12h45 14h – 15h15 15h30 – 16h45 |
| RC building-specific modelling issues (AAC) | 5h |
| June 4 (Thursday) | 8h30 – 9h45 10h – 11h15 |
14h – 15h15 | Structural walls
Open tutorial | 3h45 | |
| June 5 (Friday) | 10h – 11h15 11h30 – 12h45 |
14h – 15h15 | Masonry buildings
Open tutorial | 3h45 | |
| 6 | June 9 (Tuesday) | 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