What is Matrix analysis of beams and grids?
Today, we will complete the application of conventional stiffness method and we will apply the proposed methodology. But before that, let us briefly recap some of the lectures. In the previous lecture, we covered the initial setting up of the basic setup of the finite element analysis of an arbitrary beam using the recommended approach.
So what is the stiffness method?
We can say that a part of the solution of the finite element analysis is to use the stiffness matrix.
As you know, in the finite element analysis we are using finite elements for the analysis. In this case, we are using finite elements to approximate the real domain.
Also, in this approximation, we are using the solutions of a partial differential equation.
And, this equation can be linear, non-linear, or some complex equation.
For the complex equation, we will have to use the boundary conditions and the solution technique.
We can say that in the mathematical solution of the problem, we are using the solutions of the finite element analysis.
In this case, it is the solutions of the matrix equation.
But if you look at the solutions, it is the coefficient vectors.
This equation is called the finite element analysis.
So it is the matrix equation.
It is also called matrix finite element analysis.
So what is the stiffness matrix?
We are using the matrix equation.
We are using the solution of the finite element analysis.
Let us say that we have to approximate the solution of the equation, and in this case, we are using the finite element analysis.
In this case, it is a complex matrix.
It is very difficult to compute the inverse of the matrix.
And the matrix is very complicated.
So we are going to use the method of stiffness matrix.
This is the stiffness method.
This is the conventional method of stiffness matrix.
It is also called the elasticity method.
It is also called the rigid method.
It is also called the stress method.
It is also called the elastic method.
It is also called the residual method.
It is also called the element method.
It is also called the method of the matrix.
The basic principle of stiffness matrix is that, we need to solve the
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