Structural optimization with frequency constraints - A review

Panda—Interactive program for minimum weight design of stiffened cylindrical panels and shells

Vibration frequencies are important and easily attainable parameters, which can be used to observe the dynamic behavior of a structural system. In many cases, it is beneficial to place some restrictions on the natural frequencies of a structure for different purposes. As a well-known example, it is advantageous to constrain the vibration frequencies of a structural system so as to prevent resonance in response to external excitation. Another application is in space structures, which are supposed to operate in zero gravity conditions; constraining natural frequencies is crucial in order to control the dynamic response to different sources of vibration like orbit maintenance maneuvers. Attempting to optimize a weight- or cost-related objective function of a structure, while placing lower and/or upper bounds on its vibration frequencies, gives rise to the well-known problem of structural optimization with frequency constraints. This paper reviews different meta-heuristic optimization techniques utilized to address different examples of the problem.

S.N. Patnaik

Papers

Optimum design of stiffened structures with constraint on the frequency in the presence of initial stresses