Question: Write a MATLAB code for the following problem: Suppose you have a cantilever bar having a random rigidity EA ( let ' s call it
Write a MATLAB code for the following problem: Suppose you have a cantilever bar having a random rigidity EA lets call it D in the code throughout its length. It is divided into n elements using the finite element method. A constant distributed horizontal load q is applied along the bar. I want to find the displacement u at the nonsupported end of the bar, and the probability that it exceeds a limit "ulim", using. When evaluating the endnode displacement of the last finite element, you have to account for that of the previous elements before it The methods used are: Monte Carlo, MarkovChain Monte Carlo MCMC Importance Sampling IS Sequential Importance Sampling SIS Line Sampling LS CrossEntropy CE Exponential Tilting ET and finally the First Order Reliability Method FORM Write a code for each method for the same cantilever bar, and compare their results against each other using graphs: the probility, the error and the variance.
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