Course code: wb1417-05

Course name: Introduction to Fluid-Structure Interaction

This concerns a Course

ECTS credit points: 4

Faculty of 3mE

Section of Engineering Mechanics

Lecturer(s): Daniel J. Rixen

Tel.:  015 - 27 1523 /      

Catalog data:

structural mechanics, fluid mechanics, biomechanical flows, vibro-acoustics, coupling, finite elements, aeroelasticity, numerical methods, flutter, buffeting, wind-induced vibrations.

Course year:

MSc 1^st year

Course language:

English

In case of Dutch: Please contact the lecturer about an English alternative, whenever needed.

Semester:

2B

Hours per week:

2

Other hours:

16

Assessment:

Written report

Assessment period:

2B / August

(see academic calendar)

Prerequisites (course codes):

dynamics (e.g. wb1311, wb1418), fluid dynamics (e.g. wb1321)

Follow up (course codes):

-

Detailed description of topics:

Fluid-Structure interaction is a topic that covers many important and complex problems in engineering where the interaction between the mechanical behaviour of a solid structure is significantly influenced by surrounding fluids (water, air, etc ) and where, in turn, the aero/hydro-dynamic forces are modified by the deformation of the structure. Although it was pioneered by aeronautics engineers to study the static and dynamic deformation of wings under aerodynamic forces (aeroelasticity), fluid-structure interaction analysis involves also the description of interaction phenomenon in constructions (e.g. wind induced vibrations), vibro-acoutics, blood flow in elastic arteries or ink flow in an actuated printer head.

In the past, many semi-analytical approaches were developed to describe fluid-structure interaction. Today, complex problems interaction problems are investigated using engineering codes that couple structural models to fluid models.

In this course, we will discuss some basic static and dynamic phenomenon induced by fluid-structure interaction such as divergence, flutter and buffeting. An introduction to vibro-acoustics analysis will be presented. In the last part, some specific issues on coupling fluid and structural models in Finite Element/Volume will be discussed (e.g. moving meshes in fluids, pressure/displacement compatibility, time-integration).

Course material:

•  Lecture notes (available through blackboard)

References from literature:

• Structural acoustics and vibration; mechanical models, variational formulations and discretization, R. Ohayon, C. Soize, Academic Press, 1998, ISBN 0-12-524945-4 
• A modern course in aeroelasticity, Earl H. Dowell, Kluwer Academic Pub.,1995, isbn 0-7923-2788-8
• Fluid-Structure interaction: applied numerical methods, H. Morand. R. Ohayon, Wiley ed., 1995, isbn0-471-94459-9

Remarks assessment, entry requirements, etc.:

The lecture are partly organized as seminars prepared by the students. The evaluation will be based on the seminar and on a computer project

Learning goals:

The student must be able to:

1. derive the different forms of the Navier-Stokes and Euler equations (integral, local, conservative and non-conservative forms)

2. derive the linear elasto-dynamic equations for a solid

3. write the coupling conditions between  fluid and structure domains (compatibility/equilibrium)

4. linearize the fluid equations to obtain the acoustic equations and write the vibro-acoustic coupling conditions and apply the Finite Element method to vibro-acoustic problems

5. write the Reynolds equations for thin viscous layers and outline the underlying assumptions 

6. write the Arbitrary Lagrangian Eulerian Formulation of the Fluid Dynamics

7. write the coupling conditions in time between a finite volume model of a fluid domain and a finite element model of a structure

8. outline and apply techniques such as virtual mesh, mesh matching and staggered time integration needed to solve numerical models in fluid-structure interaction

Computer use:

Use of ANSYS and/or Matlab for assignment and illustration

Laboratory project(s):

-

Design content:

-

Percentage of design:  -0%