Obtaining Nodal Solution using MATLAB

We obtain the first six natural frequencies of the integrated structure by modal analysis as they are more relevant. Nodes that are along the central axis in the X direction and on the surface of the beam are selected. As the number of element divisions along the x axis is 60, the number of nodes selected would be 61. As consideration of all the nodes would increase computation effort and time, eleven equidistant nodes are selected. The displacement of each node from the equilibrium position, for each of the six frequencies is calculated and stored as an Eigen vector file. The values of all the six frequencies are stored as a frequency file. As expected the displacement of the end nodes is zero for all frequencies.