Abstract
The second part of this paper is concerned with the structural shape optimisation of vibrating axisymmetric shells. Natural frequencies and mode shapes are determined using curved, variable thickness, Mindlin-Reissner FEs introduced and benchmarked in the first part of the paper. The whole shape optimisation process is carried out by integrating FE analysis, cubic spline shape and thickness definitions, sensitivity analysis and mathematical programming. The semi-analytical method is used to determine the sensitivities of the objective function and constraints to changes in the design variables. Several examples are considered to illustrate and highlight various features of the optimisation, including various plates, a conical shell, a branched shell, and a church bell.
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