OPTIMIZATION OF FREQUENCIES SPECTRUM IN VIBRATIONS OF FLEXIBLE STRUCTURES

Optimality criteria are derived and used to maximize a set of frequenc ies for a structure of given weight. The criteria include both membran e and bending effects and nonlinear relations between the stiffness an d mass matrices. An error norm is proposed and used to determine the v alues of design variables and Lagrange multipliers at optimum. Some de tails of the accompanying iterative procedure are discussed and the nu merical examples of simple test structures are presented.