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Joshua
Posts:
3
Registered:
12/1/12


Re: Problem solving nonlinear equations with matrices
Posted:
Dec 3, 2012 2:58 PM


"Joshua " <Hogy88@aol.com> wrote in message <k9dh9o$mn6$1@newscl01ah.mathworks.com>... > Hello, > > I am working with the Finite Element Method using MATLAB and I have run into a technical problem. For the basic finite element procedure, a stiffness matrix K and a force vector F are created, and the results we want to find are solved using > > d=K\F > > where K and F have no variables, only numbers. Now, however, I am doing a vibration problem and need some help to put a nonlinear equation into the matrix, or to solve it simultaneously. > > Here's my problem: > > I have a square matrix K of only numbers and my force vector F is zeros. I cannot just solve > > d=K\F > > because it gives me the trivial zero solution. I have to insert an equation based on a diagonal matrix M such that > > M_i*d(i)^2=1 (sum on i from 1 to the size of the K matrix) > > or M11*d1^2 + M22*d2^2 + ... + Mnn*dn^2 = 1 > > where n is the number of rows/columns in K. > > My procedure is to remove one equation (or row) from the K matrix, leaving n1 equations, and to solve these equations with the M_i*d(i)^2=1 equation to give me a nonzero d solution. My problem is...how? I am new to MATLAB and have no clue how to do this. I've tried using fsolve but keep getting various error messages. > > Help?!
Thanks, that worked out pretty well.



