ES 240

CA #2 Natural frequency problem

Due on Monday (Nov. 20) in class

The notes mentioned in the problem (Rice, Solid Mechanics, pp65-68) is attached.

A file on elastic waves is attached.

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Updated on 11 October 2008.  Each student creates a distinct project that (a) addresses a phenomenon, and (b) involves a serious use of ABAQUS.   To get some inspiration, see projects of students who took this course in the past.

The project contributes 25% to the grade, distributed as follows.

34. Surface acoustic wave device

35. Approximate a rod as a 2DOF system

36. Soft tissues: large difference in velocities of longitudinal and transverse waves

37. A general approach to determine body waves

38. Reflection and refraction of a transverse wave

Return to the outline of the course. 

1-1 ABAQUS Tutorial: Schedule & Proceedings

1-2 Learning ABAQUS: Begin with ABAQUS Command

1-3 Computer Assignment #1: Plate with circular hole

1-4 CAE Example: Having a sense of ABAQUS CAE

Notes on the stiffness matrix formulation, used for ES 120, Introduction to the Mechanics of Solids, a sophomore course. This material will not be covered in ES 240, but might provide helpful reading if you do not have this background.

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31. A machine on a cantilever

32.  A beam on simple supports

33. Vibration of piano strings

Return to the outline of the course.

Though not that original, I want to recommend Timoshenko. Since many people have mentioned it already, I will discuss a Brief on Tensor Analysis by James Simmonds. Though not always useful, I sometimes use it to remember tensor rules that I have forgotten. The book is divided into chapters as follows:

I: Vectors and Tensors

II: General Bases and Tensor Notation

III: Newton's Law and Tensor Calculus

IV: Gradient, Del Operator, Covariant Differentiation, Divergence Theorem

Again, sometime it is not that useful and you spend your time trying to read it while not learning much, but it does come in handy sometimes. You can see the amazon link:

Amazon

After discussion with Xuanhe, I believe that B=0 for Q21 because there's no cut-and-weld operation here. Then the solusion is exactly the Lame Solution in Cylindrical Shape as in Q8.

What do you think?