By Howard B. Wilson, Louis H. Turcotte, David Halpern

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R0,k,h - parameters which define the spiral % t - a vector of parameter values at % which the curve is evaluated from % the parametric form. ^2))); 80: 81: 82: 83: 84: 85: % Generate points on the osculating plane and % the rectifying plane along the curve.

2003 by CRC Press LLC A couple of special cases arise. , c = 0, ω = k/m. This √ case can be avoided by including a tiny amount of damping to make c = 2 mk/106. The second case happens when the characteristic roots are equal. This is remedied by perturbing the value of c to (1 + 10 −6) times c. Such small changes in a system model where realistic physical parameters are only known approximately will not affect the Þnal results signiÞcantly. In practice, enough damping often exists in the system to make the homogeneous solution components decay rapidly so the total solution approaches the particular solution with the displacement having the same frequency as the forcing function but out of phase with that force.

24: 25: 26: 27: 28: 29: 30: % Illustrate use of the function disp disp(’’) str=[’\nInput the inner radius, outer ’ ... ’radius and number of increments ’ ... 5,1,8)\n’]; fprintf(str); 31: 32: 33: % Use function inputv to input several variables [r1,r2,nr]=inputv; 34: 35: 36: 37: 38: 39: 40: % Use function fprintf to print more % complicated heading str=[’\nInput the starting value of ’ ... ’theta, the final value of theta \n’ ... ’and the number of theta increments ’ ... ’(the angles are in degrees) ’ ...

### Adv Math Mech App using MatLab Book by Howard B. Wilson, Louis H. Turcotte, David Halpern

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