Fourthorder

. . . Let's go and see how the Shooting Method works. . So. let's suppose if we have a differential equation like this: d2y/dx2=f(x, y, dy/dx) d2y/dx2=f(x, y, dy/dx) d2y/dx2=f(x, y,...

In the previous lecture we talked about how to compute the element stiffness matrix and the element load vector entries for the linear approximation of the boundary value problem that we had taken. At...

. . In this segment what we are going to do is we are going to take a higher order differential equation and we are going to solve by it by using Heun's Method which is a Runge Kutta second...

In the next few lectures, let us look at various types of integration schemes. And this helps us to get an idea why Gaussian quadrature is preferred for finite element calculations. To start with it,...

We have been discussing random vibrations analysis of discrete multi-degree freedom systems. So, we will continue with that discussion and we will be concluding this discussion in this lecture, and we...

Today's discussion on lecture 16 begins once again, by our discussion on Spectral Analysis tool. As we mentioned before, we would like to develop an analysis tool which is applicable for the...

In the last class, we were exposed to the frequency limitation of amplifiers. Let us consider this example now, which illustrates how the so called gain characteristic of the amplifier gets limited....

Good afternoon to you. This is module 7, lecture 38. We are starting a new topic, a new module, a rather advanced topic. It is called analysis of Elastic instability and Second order effects.. So, we...

In today’s class, we will develop finite element formulation for two node beam element. Before we proceed with that, let me summarize what we have done in the last class. In the last class, we...

In this lecture we are going to go further with the definition of higher order shape functions for two-dimensional problems. We were working with triangular elements. How do I construct higher order...