The Finite Element Method(FEM) generally used for the structural analysis has some defects, i.e. a great deal of computational time and huge memory capacity of computer are needed in the application to large and/or complex structures, etc. Therefore the Component Mode Synthesis method(CMS), one of sub-structure synthesis methods, was made to improve such demerits and has been developed up to now. In optimum structural modification problems, the sensitivity analysis method is useful, where the sensitivity-calculated by Fox's suggestion-is defined as the diffentials of design variables for the objective values. This paper discusses the vibration minimization techniques for the oper box type structure, in which it is assumed that an engine operates at 10-40Hz range. The results obtained are as follow; (1) The sensitivity of natural frequency could be easily obtained by sensitivity analysis method and the optimum position to insert pillars could be found by using it. (2) The rates of structural modification could be exactly obtained and the natural frequency observed could be easily shifted to the objective value. (3) The maximum amplitude around natural frequency noted could be nearly reduced to 1/25 by modification.
