10.8 REVIEW AND DISCUSSION QUESTIONS

1. Name examples of surface modeling techniques.

2. State the definition of real and imaginary parts of a complex function in your own words.

3. In Equation (10-1), w = z + = u + iv, find the expressions for both the real and imaginary parts of w.

4. Given the Matlab program codes for generating the data in Table 10-1:

   % this fragment is used to show a Joukowski airfoil.

   clear

   alpha = 0: pi/90:2*pi;

   r = 1; % radius

   b = 1; % horizontal offset of the circle

   tol = 0.02; % control parameter

   ep = 4/(3*sqrt(3))*tol; % control parameter

   c = b/(1 + ep);

   z0 = b - c + 2*tol*i; % origin of the circle

   z = z0 + r*exp(i*alpha);

   w = z + c ?2./z;

   subplot(211)

   plot(real(z),imag(z)), axis square, axis([-1.2 1.2 -1.2 1.2])

   title( Z plane ),

   xlabel( x ), ylabel( y ), grid

   subplot(212)

   plot(real(w), imag(w)), hold on

   title( Joukowski Mapping ),

   xlabel( u ), ylabel( v ), axis([-2 2 -0.15 0.15])

   grid

Can you duplicate the results?

1. Can a Joukowski airfoil be used in real applications? Why?

2. What are the definitions of a cemented and a cementless total hip arthroplasty device?

3. What are the major difference between traditional mechanical design and biomedical engineering design?

4. What are the purposes of a cam-follower system?

5. Name the types of cam-follower systems?

6. In Equation (10-9) and Equation (10-10), what are the definitions for r _b and s = s( ?)?

7. We used a sine function, s = a