Dynamics of structures [ LAUCE2185 ]

Course slides, exercices and solutions

LAUCE1181; LMECA2410

• Finite element modelling for linear and nonlinear structural dynamics;
•  Random dynamics;
• Fluid-structure interaction.

AA 1.1, AA 1.2 and AA 1.3.

After completing this course, the student should be able to:

•  Understand the basic ingredients of a finite element method for structural dynamics in a linear or (materially/geometrically) non-linear context, select appropriate computational procedures, control convergence and stability conditions of selected methods and correctly use computed results;
• Characterize random excitations, describe stationary and unstationary processes, establish a link between spectral and transient descriptions of such excitations, evaluate the response of structures subjected to random excitations, perform the selection of appropriate computational procedures, interpret and further exploit computed results (threshold statistics, estimation of duration life, etc.);
•  Describe physical aspects related to fluid-structure interaction in the elasto-acoustic context, formulate appropriate coupled models, handle free surface effects and sloshing modes in containers, evaluate coupled modes in hydro-elastic systems, compute the forced response of vibro-acoustic systems.

Examination with/without course notes (to be fixed) ' 4 hours maximum.

• Ex-cathedra course based on available slides (iCampus) for volume 1;
• Teacher supported project for volume 2.

• Course slides (iCampus) ;
• « Random vibrations : Theory and Practice », P.H. Wirsching, T. L. Paetz et H. Ortiz, John Wiley, 1995;
•  « Théorie des vibrations, application à la dynamique des structures », M. Géradin et D. Rixen, Masson 1996 ;
• « Fluid structure interaction », H.J.P. Morand et R. Ohayon, John Wiley, 1995.

•  Use of Matlab scripts ;
•  Use of industrial software  (MSC Nastran, Actran, etc.) for the project.