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A new method for the synthesis of structures with prescribed target natural frequencies and mode shapes is presented. The introduction of a modal Rayleigh quotient approximation based on the target mode shapes is the means to propose a structural synthesis problem whose solution is free from eigenvector sensitivity analysis. The frequencies and mode shapes can be adjusted as close as possible to the desired target values, while minimizing the total mass. Several examples corroborate the efficacy of the proposed method.

Design of compressed variable stiffness panels with steering-thickness coupling genetic algorithm. Knowing the current state of angle distributions proved to be important while calculating the coupled thickness build-up. The optimization problem is constrained by the critical linear buckling load, herein calculated using finite elements with MSC Nastran ® , and by manufacturing and design constraints, such as the minimum steering radius of AFP and CTS and common design guidelines for laminated composites. The results are compared with an optimized baseline design using conventional straight-fibre laminates to quantify how the design is changed in terms of overall geometry, buckling loads and structural weight.

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