Abstract
The present paper shows an efficient optimization approach on composite structures for vibration where layer angles in addition to layer thicknesses are used as design variables. A high-quality approximation method of natural frequencies with respect to layer angle and layer thickness is proposed. First in the present paper, several approximate methods of natural frequencies after design variation are compared. Next an approximation method is then applied to a minimum weight design of cantilevered laminated plates under multiple frequency constraints. The validity of the present approach is verified through the numerical examples of laminated plates.
