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3. Proposal of structure of a multilayer panel with an inside layer madę of two-phase composite. The structure allows to achieve the minimal thermal energy under given boundary conditions.
Thesis of the dissertation:
It is possible to design structure of two-phase composite, whose properties, such as the average temperaturę value, the average magnitude of temperaturę gradient, the average thermal energy and the average strain energy, are better than in classic layer composites (laminates). Additionally, having designed the structure of thermally optimal composite, it is possible to analyse its dynamie properties, i.e. determine eigenvalues, determine the freąuency response and the modę shapes for a particular eigenvalue.
The following dissertation presents the issue of modelling and analysis of dynamie parameters of thermally optimal composite. In order to achieve thermally optimal composite, a number of optimizations of properties was performed, such as: the average value of the temperaturę, the average magnitude of temperaturę gradient, the average value of thermal energy and the average value of strain energy. Optimization was performed by means of proposed algorithms for ID and 2D models with different shapes and different boundary conditions. For ID models, the combination of Nelder-Mead algorithm and finite element method was used, while for the analysis of 2D models, the combination of SNOPT optimization method and finite element method was applied. Optimization results performed for a 2D composite panel were compared with results for models of laminates. COMSOL facilitated the performance of all the simulations, as well as the analysis of how the applied finite element mesh and the parameters of the method have influenced the achieved new topologies of the structures.
The first chapters of the dissertation present a review of literaturę and theoretical introduction of the discussed issue. Numerical results carried out by means of various methods were presented in chapters six to nine. In the first part of the research, optimization of the average value of the temperaturę and the average magnitude of temperaturę gradient was performed. Calculations were madę for models defined on areas with different shapes and with different boundary conditions. Numerical results for newly created composites were compared with laminate composites. This leads to a conclusion that the proposed topology allows to obtain better results (lower in the case of minimization and higher in the case of maximization) than in traditional laminates [Nie2013].
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