I have a hollow tapered vertical tower..I have developed stiffness matrix considering translational and rotational using the function defined in BATHE's book..but, since I need to use tuned liquid column damper at the top, I have to develop stiffness matrix in such away that only translational motion along horizontal should be considered. Can you suggest any method? I couldn't find any suitable method. I tried to do in ansys also using beam 54 element restricting ROTZ and UY..but my frequencies are not matching with the previously calculated frequency.
Raseem
Your question is a bit unclear.If you need the stiffness at a certain point and at certain direction (i.e. Ux), all you need to do is to apply a unit force at that point (in X-direction) and analyse the model (e.g. with ANSYS) and obtain Ux displacement at that point. Inverse displacement will give you the stiffness factor you require. When you talk about the stiffness matrix, you are considering 6x6 matrices for each and every member in your tower which should be assembled and reduced with respect to the geometry and supports.
Amir
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