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saraha

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11 years, 158 days
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scilab...

saraha 5
January 28 2014
0 0

@J4James 

by any chance do you know how to use scilab?

I have to solve the same equation but with matrices (state space equation) on scilab and put it into a program which asks the values m, c, k and F(t)

@J4James  restart; ODE := m*diff(x(...

saraha 5
January 28 2014
0 0

@J4James 

restart;

ODE := m*diff(x(t),t$1) + k*x(t) = F(t);

dsolve (ODE);

m:=1 : c:=1 : k:=1 : F(t):= t² : #say

ics := x(o)=0, D(x)(0) = 0; #say

dsolve({ODE,ics});

Y;= rhs(x(t) = 4/3*e^(-1/2t) *sin(1/2*sqrt(3)*t)*sqrt(3) +t² - 2t);

plot(Y,t=0..10);

this is the work sheet...

saraha 5
January 28 2014
0 1

this is the work sheet

@J4James  mapl.pdf...

saraha 5
January 28 2014
0 0

@J4James

 mapl.pdf

maple...

saraha 5
January 28 2014
0 0

@J4James    MapleProject.mw ...

saraha 5
January 28 2014
0 0

@J4James 

 

MapleProject.mw

> 

restart
> 

DE := m*(diff(x(t), `$`(t, 2)))+c*(diff(x(t), `$`(t, 1)))+k*x(t) = F(t)

m*(diff(diff(x(t), t), t))+c*(diff(x(t), t))+k*x(t) = F(t)

 (1)
> 

dsolve(DE)

x(t) = exp((1/2)*(-c+(c^2-4*k*m)^(1/2))*t/m)*_C2+exp(-(1/2)*(c+(c^2-4*k*m)^(1/2))*t/m)*_C1+((Int(F(t)*exp(-(1/2)*(-c+(c^2-4*k*m)^(1/2))*t/m), t))*exp(t*(c^2-4*k*m)^(1/2)/m)-(Int(F(t)*exp((1/2)*(c+(c^2-4*k*m)^(1/2))*t/m), t)))*exp(-(1/2)*(c+(c^2-4*k*m)^(1/2))*t/m)/(c^2-4*k*m)^(1/2)

 (2)
> 

"m:=1:c:=1:k:=1:F(t):=t^2: #` say`"
> 

ics := x(0) = 0, (D(x))(0) = 0

x(0) = 0, (D(x))(0) = 0

 (3)
> 

dsolve({DE, ics})

x(t) = (4/3)*exp(-(1/2)*t)*sin((1/2)*3^(1/2)*t)*3^(1/2)+t^2-2*t

 (4)
> 

Y := rhs(x(t) = (4/3)*exp(-(1/2)*t)*sin((1/2)*sqrt(3)*t)*sqrt(3)+t^2-2*t);

(4/3)*exp(-(1/2)*t)*sin((1/2)*3^(1/2)*t)*3^(1/2)+t^2-2*t

 (5)
> 

plot(Y, t = 0 .. 10);

 
> 

``
> 

``


Download MapleProject.mw

            

MapleProject.mw @J4James here is the wor...

saraha 5
January 28 2014
0 0

MapleProject.mw

@J4James here is the work sheet

PS...

saraha 5
January 27 2014
0 2

The link "mck.mw" doesn't work

graph...

saraha 5
January 27 2014
0 0

I have another question, when I plot the graph, I don't get the right graph : the curve tends to + infinity

mck.mw...

saraha 5
January 27 2014
0 0

@J4James 

What is "mck.mw" ? Is it a command on maple to model the mass spring damper system?

@J4James  hi! thanks for your reply...

saraha 5
January 27 2014
0 0

@J4James 

hi! thanks for your reply!

I still have some problems : when I try to plot the equation, it doesn't work and when I try to model the system with the code which is given in the link you gave me maple doesn't understand the code

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