I have a problem in my research that involves a platinum electrode which will form bubbles of hydrogen gas.  Bubbles sticking to the electrode is expected to be a problem, and one method of dealing with this is to induce resonant vibrations in the electrode.  These vibrations can be excited by running an alternating current through the electrode, which produces physical forces through electromagnetic interactions.

I plan to model several electrode shapes in ABAQUS with the aim of extracting the applicable resonant frequencies.  I will also try to investigate how these frequencies are affected by different scaling factors. 

References:

Project Description:

Although this is a class in solid mechanics, I chose a project which focuses on fluid dynamics. I did this because I think this project will be very educational with respect to the Finite Element Analysis and mechanics in general.

For my semester project, I will investigate equilibrium geometries of ripples in an elastic sheet. In order to do so, I will need to learn how to study out of plane bending of a thin membrane with ABAQUS. The project can be divided into the following stages:

1. Set up the membrane geometry model in ABAQUS

2. Apply relevant boundary conditions and tractions

3. Set up the job

4. Run the job, and post-process

Please see the attached file for details.

Finished BashringUnfinished Bashring Mounted on Crank

The biology of the inversion process in Volvox carteri is examined, and a coupled mechanical and kinetic model is proposed.  See attached proposal for details. The presentation given is also attached here, as well as the final paper.  Also, a movie of the simulation that made all of the work wroth while, the inversion of a half-sphere, is attached here as well.  Note: The file inversion2bw.doc is a movie, just download it and change the extension to .avi.  This has to be done since iMechanica doesn't allow attachment of .avi files directly.

Computer assignment #2 : natural frequency problem

due on Monday (Nov. 17, 2008)

Assignment #1 and related paper

1 Schedule & Proceedings

2 Reading-about ABAQUS

3 Learning ABAQUS

4 CAE example

Mechanics of Materials is the book I used for my undergraduate course in strength of materials and it helped me understand the basics, and hence my selection. 

The outline is as follows:

Ch. 1: Introduction -  concepts of stress

Ch. 2: Stress and strain - axial loading

Ch. 3: Torsion

Ch. 4: Pure bending

Ch. 5: Analysis and design of beams for bending

Ch. 6: Shearing stresses in beams and thin-walled members

Ch. 7: Transformations of stress and strain

Ch. 8: Principal stresses under a given loading

Ch. 9: Deflection of beams

Ch. 10: Columns

Ch. 11: Energy methods 

http://www.amazon.com/Mechanical-Behavior-Materials-Marc-Meyers/dp/1427614822/ref=pd_cp_b_0?pf_rd_p=413864201&pf_rd_s=center-41&pf_rd_t=201&pf_rd_i=0521866758&pf_rd_m=ATVPDKIKX0DER&pf_rd_r=0S0M88CGD0M7DMFVDEEB

This link contains basic book information and reviews of the book.  The content of the book is as follows:

1.
Materials: structure, properties and performance

2. Elasticity and
viscoelasticity

--This is the book I used for my junior-year solid mechanics class as a mechanical engineer.  You an read more about it here: http://www.amazon.com/Advanced-Mechanics-Materials-Roman-Solecki/dp/0195143728/ref=sr_1_3?ie=UTF8&s=books&qid=1224209659&sr=8-3

--The book covers a wide range of topics, starting with a standard chapter on intro to stress and strain.  It then quickly moves to more advance topics, including numerical methods/finite element analysis, and a good section on buckling and vibration.

* Title of the post: Theory of Elasticity by S.P. Timoshenko and J.N. Goodier