How do i use boundary conditions to find variables in an equation
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Ramneet Sidhu
le 14 Nov 2019
Commenté : Muhammad Usman
le 14 Nov 2019
Hi all. I am trying to find 4 variables which are c1, c2, c3, c4 in my equation using 4 boundary conditions. The value of lambda is known. But i donot know how to proceed. Any help is much appreciated.
My code is as follows:
lambda = 0.0275;
%Solution of the governing equation for beam-on-elastic-foundation is:
syms x c1 c2 c3 c4
u(x) = exp(lambda*x)*(c1*cos(lambda*x) + c2*sin(lambda*x)) +exp(-lambda*x)*(c3*cos(lambda*x) + c4*sin(lambda*x));
du(x) = diff(u,x);
%The boundary condition for the pile under node 01 on applying unit force on dof-01 is:
eqn1 = u(0)==1;
eqn2 = u(Lp)==0;
eqn3 = du(0)==0;
eqn4 = du(Lp)==0;
eqns = [eqn1 eqn2 eqn3 eqn4];
vars = [C1 C2 C3 C4];
soln = solve(u,eqns,vars);
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Muhammad Usman
le 14 Nov 2019
if you let Lp=constant and make changes in
soln = solve(u,eqns,vars);
to
soln = solve(eqns);
you will get a structure soln and in the command window you can access the value for each variable by soln.[variable], for example soln.c1
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