Vibration Analysis by Substructure Synthesis Method : Part 4, Calculation of Residual Compliance Matrix

The authors propose a method for calculating accurately the residual compliance matrix of structures with free-free boundary condition in this paper. A total structure must be divided into several substructures when it is analyzed by substructure synthesis methods. In doing this, the majority of the substructure will be under free-free boundary condition. For such substructure the residual compliance matrix cannot be obtained accurately by the usual method. So it is important to propose a new method for calculating the accurate residual compliance matrix of the structures with free-free boundary condition. Algorithms of the usual method and the method proposed by the authors as well as Hansteen are given. Numerical examples about a simple case are also shown.