Plot infinite series for displacement function

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Milad Ahmed
Milad Ahmed 2019-2-20
回答： Agnish Dutta 2019-2-26
Hello all, I am having trouble plotting this infinite series. I only need to plot for the first 5 values of j or so and the values of t from 0 to 0.9 for example. Wherever x is, I need it as L/2 i.e. to calculate the deflection at mid-span.
P = 250; %Concentrated point load of 250 kN
L = 5; % Span length
x = L/2; % Mid-span
E = 200*10^6; % Young's Modulus in kPa
J = 4.5*10^-5; % Moment of intertia for rectangular section
% with width 0.2m and depth 0.3m
V0 = (2*P*L^3)/(pi^4*E*J);
V0Actual = 1000*V0; %V0 in mm
c = 25; % speed in m/s (90 km/h)
w = (pi*c)/L;
for t = [0,1,100]
for j = 0:5
vxt = V0Actual*((1/j^4)*sin((j*pi*x)/L)*sin(j*w*t));
end
end
plot(vxt, t)

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回答（1 个）

Agnish Dutta
Agnish Dutta 2019-2-26
From what I understand, you want to calculate the value of v(x, t) for the first 5 values of j for the instances t = 0 - 0.9, and then plot v(x, t) against t.
The following modifications should be able to achieve that:
t = 0:0.1:0.9;
vxt_values = [];
for i = 0:0.1:0.9
vxt = 0;
for j = 1:5
vxt = vxt + V0Actual*((1/j^4)*sin((j*pi*x)/L)*sin(j*w*i));
end
vxt_values(end + 1) = vxt;
end
plot(t, vxt_values);
The plot fucntions required the x axis variable as the first argument, and the y axis variable as the second.
Refer to the following:
https://www.mathworks.com/help/matlab/ref/plot.html

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