Abstract
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.
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Kaveh, A., Zolghadr, A. Meta-heuristic methods for optimization of truss structures with vibration frequency constraints. Acta Mech 229, 3971–3992 (2018). https://doi.org/10.1007/s00707-018-2234-z
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DOI: https://doi.org/10.1007/s00707-018-2234-z