Analytical and FEM based vibration analysis of PCLD treated beams with different boundary conditions: A Comparative study

摘要

For active/passive control applications, low order models of flexible structures are always preferable. Models of PCLD systems generated by analytical methods are of much smaller orders as compared to finite element methods (FEM). Using analytical methods, one can get rid of complex model reduction techniques, since these model reduction techniques are subjected to errors if applied directly to PCLD or ACLD systems. However, analytical techniques cannot be applied blindly to any PCLD system. There is significant error in loss factor prediction for certain boundary conditions. This error is also dependent on the relative thicknesses of viscoelastic material layer, constraining layer and base beam. For certain combination of the above thicknesses and under certain boundary conditions, the models generated are useless for controller design purposes. On the other hand, FEM are highly robust and can be applied easily to any set of boundary conditions.