# Nonlinear Response Analysis

Curriculum: ROSE

Term: 1styear, 2nd semester

Syllabus: available here

CFU: 6

SSD: CEAR-06/A

Duration and Scheduleavailable here

Office hours: by appointment

BRIEF CONTENT AND DESCRIPTION

The course focuses on the advanced understanding of the nonlinear behaviour of structures under static and dynamic loads with emphasis on earthquake loading. The class deals with advanced theoretical concepts of linear and nonlinear structural analysis with emphasis on material constitutive formulations, transformations for second order geometric analysis, alternative elements for nonlinear analysis including beam-column elements as well as zero length elements. State-of-the-art modelling techniques are presented including the most recent modelling guidelines for steel and reinforced concrete structures. A plethora of examples is covered from material to element to system level behaviour including cases where nonlinear analysis is used for assessment of new and existing structures.

Teaching methods
• Lectures
• In-class exercises

Evaluation methods
• Assignments: 50% (four written assignments)
• Final exam: 50% (3-hour written exam)

Prerequisites
• Structural dynamics
• Structural analysis
• Statics
• Structural mechanics
• Numerical methods in engineering
• Programming (Matlab or equivalent)

Learning outcomes
• Implement nonlinear finite element approaches for frame elements
• Assess / Evaluate the consequences of modelling hypotheses on analysis results
• Develop models that represent the essentials of the nonlinear response of structures

Transversal skills
• Set objectives and design an action plan to reach those objectives.
• Use a work methodology appropriate to the task.
• Communicate effectively with professionals from other disciplines.
• Access and evaluate appropriate sources of information.
• Identify the different roles that are involved in well-functioning teams and assume different roles, including leadership roles.

Textbook and other material
• Handouts and selected papers will be distributed during the course
• McGuire, W., Gallagher, R.H., Ziemian, R.D. (2000). Matrix Strucutral Analysis. 2nd Edition, Faculty Books 7
• Bathe, K.-J. (1996). Finite Element Procedures. Prentice-Hall, Englewood Cliffs, New Jersey
• Crisfield, M.A. (1991). Non-linear Finite Element Analysis of Solids and Structures. John Wiley & Sons, Chichester, England
• Earthquake Engineering – From Engineering Seismology to Performance-Based Engineering, edited by Yousef Bozorgnia and Vitelmo V. Bertero, 2004

Instructor

Prof. D. Lignos : official webpage and CV available here