Obtaining D.C. Gain using MATLAB
All the Eigen vector values for the six frequencies are uploaded in the MATLAB© Workspace. All the frequencies obtained might not contribute to the systems disturbance significantly. Hence, only the frequencies that dominate are selected. This selection is made on the basis of the D C Gain value for each mode. This D C Gain value is now calculated using MATLAB©. It is assumed that the force is applied at the node, which for a particular mode, is peak. As the case is of simply supported, again the same node is selected for the output. Now, the D C Gain is given as follows[8]:
![](http://1.bp.blogspot.com/_fKYXbBmXz4k/SKzWAgG0T_I/AAAAAAAAAHI/mu0JQjSWuWo/s400/Img14+Obtaining+D.C.+Gain+using+MATLAB+%28b%29.jpg)
Graph of D.C. Value v/s Frequency is plotted.
![](http://3.bp.blogspot.com/_fKYXbBmXz4k/SKzV7NNENQI/AAAAAAAAAHA/nMS7Wd0LSmU/s400/Img15+Graph+of+D.C.+Value+vs+Frequency.jpg)
From the graph, it is observed that as the mode number increases there is a significant decrease in DC Gain value. High frequency modes have less nodes displacement. For a given structure, modes with negligible D C Gain value do not contribute much to the disturbance. Hence, these high frequency modes can be ignored for controlling purpose.
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