Download Advanced Mathematics and Mechanics Applications Using MATLAB by David Halpern, Howard B. Wilson, Louis H. Turcotte PDF

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

On account that its advent in 1984, MATLAB's ever-growing attractiveness and performance have secured its place as an industry-standard software program package deal. The undemanding, interactive setting of MATLAB 6.x, which incorporates a high-level programming language, flexible pictures functions, and abundance of intrinsic services, is helping clients specialize in their functions instead of on programming error. MATLAB has now leapt some distance sooner than FORTRAN because the software program of selection for engineering purposes.

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Example text

This is seldom of interest in Newtonian mechanics. ˆ B, ˆ κ, and τ in terms of R (t), A function crvprp3d was written to evaluate Tˆ , N, R (t), and R (t). Another function aspiral applies crvprp3d to the curve described by R(t) = [(ro + kt) cos(t); (ro + kt) sin(t); ht] where t is the polar coordinate angle for cylindrical coordinates. 14 depicts results generated from the default data set where ro = 2π , k = 1 , h = 2 , 2π ≤ t ≤ 8π, with 101 data points being used. A cross section normal to the surface would produce a right angle describing the directions of the normal and binormal at a typical point.

46: 47: 48: 49: [tmax,nt]=inputv(... ’Input tmax, nt (try 30, 250) >> ? ’); end 50: 51: 52: t=linspace(0,tmax,nt); X=smdsolve(m,c,k,f1,f2,w,x0,v0,t); 53: 54: 55: 56: 57: 58: 59: 60: 61: % Plot the displacement versus time plot(t,X,’k’), xlabel(’time’) ylabel(’displacement’), title(... 5*f; fa=abs(f); sf=sign(f); xj=x(j,:); xmaxj=max(xj); if sf>0 xforc=xmaxj+[0,fa,fa+xtip]; © 2003 by CRC Press LLC 87: 88: 89: else xforc=xmaxj+[fa,0,-xtip]; end 90: 91: 92: 93: 94: 95: 96: 97: 98: 99: 100: 101: 102: % Plot the spring, block, and force % plot(xj,y,rx,ry,’k’,xforc,ytip,’r’) %plot(xj,y,’k-’,rx,ry,’k-’,xforc,ytip,’k-’) plot(xj,y,’k-’,xforc,ytip,’k-’,...

The animation depicts forced motion of a block % attached to a wall by a spring. The block % slides on a horizontal plane which provides % viscous damping. 14: 15: 16: 17: 18: 19: 20: 21: 22: 23: 24: % % % % % % % % % % example - Omit this parameter for interactive input. Use smdplot(1) to run a sample problem. t,X - time vector and displacement response m,c,k - mass, damping coefficient, spring stiffness constant f1,f2,w - force components and forcing frequency x0,v0 - initial position and velocity User m functions called: spring smdsolve inputv ----------------------------------------------- 25: 26: 27: 28: 29: 30: 31: pltsave=0; disp(’ ’), disp(...

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