Read e-book online Advanced Mathematics and Mechanics Applications Using PDF

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

ISBN-10: 158488262X

ISBN-13: 9781584882626

When you consider that its creation in 1984, MATLAB's ever-growing recognition and performance have secured its place as an industry-standard software program package deal. The uncomplicated, interactive surroundings of MATLAB 6.x, which incorporates a high-level programming language, flexible pictures services, and abundance of intrinsic features, is helping clients concentrate on their purposes instead of on programming mistakes. MATLAB has now leapt a ways prior to FORTRAN because the software program of selection for engineering functions.

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Extra resources for Advanced Mathematics and Mechanics Applications Using MATLAB, Third Edition

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7: Partial Motion Trace for Pendulum Almost Pushed Over the Top © 2003 by CRC Press LLC Program pendulum 1: 2: 3: 4: 5: 6: 7: 8: function pendulum(rundemo) % pendulum(rundemo) % This example analyzes damped oscillations of % a simple pendulum and animates the motion. 2*theta’(t)+sin(theta) = 0 9: 10: 11: 12: % Type pendulum with no argument for inter% active input. 2*theta’’(t)+sin(theta) = 0’) 23: 24: 25: 26: 27: % Create an inline function defining the % differential equation in matrix form zdot=inline(...

3, 1) >> ? ’); 40: 41: [f1,f2,w]=inputv(... © 2003 by CRC Press LLC 42: ’Input f1, f2, w (try 1, 0, 2) >> ? ’); 43: 44: 45: [x0,v0]=inputv(... ’Input x0, v0 (try 0, 2) >> ? ’); 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-’,...

3) The motion history at a particular point x 0 is y(x0 , t), t ≥ 0. The nature of F (x) implies that the motion has a period of 2l/a. Waves striking the boundary are reßected in inverted form so that for any time y(x, t + l/a) = −y(x, t). 67, 1], yd = [0, 0, −1, 0, 0]. The program reads the wave speed, the string length, and data points specifying the initial deßection. The solution is evaluated for a range of x, t values. 10, which is a three-dimensional plot of traces of the string deßection for a sequence of times.

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

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