How I draw shape of traveling wave at various times?

Hi everyone, I have a problem with drawing of traveling wave shape. I create a code like this below. But I cannot draw traveling shape. I also attached formulas with this problem.

clear, clc

syms l;

syms x;

syms h;

syms wi;

syms t;

syms i;

func = (4/3)*h*(x/l)*sin(i*pi*x/l);

result=int(func,x,0,3*l/4);

func2 = 4*h*(1-(x/l))*sin(i*pi*x/l);

result2=int(func2,x,3*l/4,l);

sonuc=(2/l)*(result+result2); % This is the Fi function

%pretty(simplify(sonuc)); % Fi function

v_x_t=sonuc*sin((i*pi*x)/l)*cos(wi*t);

pretty(simplify(v_x_t));

%% Plotting Initial Shape------------------------------------------------

x1=0:.01:6;

y1=2*x1/3;

x2=6:.01:8;

y2=-2*x2+16;

x=[x1 x2];

y=[y1 y2];

x_line=0:.01:8;

y_line=0*x_line;

% h is assumed to be 4 and l is assumed to be 8.

figure(1)

plot(x,y,'r',x_line,y_line,'--k','linewidth',2)

axis([0 8 -2 6])

title('Initial Shape of f(x)')

xlabel('length')

ylabel('h')

THE RESULTS:

Thanks a lot:)

[Anudeep Kumar]

I understand that you want to calculate the displacement of a particle on a string, but could you be more clear on what exactly your problem is, how many waves are there on the string, what the variables represent and the formula you want to use to plot.

The code runs fine and is giving an expected output, I believe you are missing the logic in the code, if you help me with more information maybe I can help you better.

Meanwhile maybe this link could help you: http://www.physics.usyd.edu.au/teach_res/mp/doc/wm_string_1.htm

[Dilan Kilic]

Thanks for interesting Kumar,

Now, i have a problem of shorting this codes. I can plot this shapes at various time. I attached also code here. However, i want to animate these function shapes. Also, in the following code f(x) is created. f(x) is a partial function.

*************************This is the initial shape code:*************************************

clear,clc

x1=2:.01:6;

x2=4:.01:8;

y1=(2*(x1+1)-6)+(-2*(x2+1)+14);

y2=(2*(x1-1)-6)+(-2*(x2-1)+14);

x=[x1 x2];

y=[y1 y2];

x_line=0:.01:8;

y_line=0*x_line;

% h is assumed to be 4 and l is assumed to be 8.

figure(1)

plot(x,y,'r',x_line,y_line,'--k','linewidth',2)

axis([0 8 -6 6])

title('Initial Shape of f(x)')

xlabel('length')

ylabel('h')

********************************And the second shape of this question code********************************

clear,clc

%% Plotting Second Shape

x1=6:.01:8;

x2=4:.01:6;

x3=4:.01:6;

x4=2:.01:4;

y1=(1/2)*(-2*(x1-1)+14);

y2=(1/2)*(-2*(x2+1)+14);

y3=(1/2)*(2*(x3-1)-6);

y4=(1/2)*(2*(x4+1)-6);

x=[x1 x2 x3 x4];

y=[y1 y2 y3 y4];

%%

x_line=0:.01:8;

y_line=0*x_line;

% h is assumed to be 4 and l is assumed to be 8.

figure(1)

hold on

plot(x1,y1,'r',x_line,y_line,'--k','linewidth',2)

plot(x2,y2,'r',x_line,y_line,'--k','linewidth',2)

plot(x3,y3,'r',x_line,y_line,'--k','linewidth',2)

plot(x4,y4,'r',x_line,y_line,'--k','linewidth',2)

axis([0 8 -6 6])

title('Second Shape of f(x)')

xlabel('length')

ylabel('h')

[Anudeep Kumar]

Hey to draw and animate plots you can refer to the following link and modify your code accordingly

https://in.mathworks.com/help/matlab/ref/animatedline.html

https://stackoverflow.com/questions/23688688/how-to-do-an-animated-plot-in-matlab/23689973

I hope that will help solve your issue .

[Dilan Kilic]

Thanks Kumar. The problem have been solved :)