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EN
This study considered the solution of the stochastic vibration of non-linear mechanical systems with Gaussian random excitations. It realised a short review of linearisations techniques in stochastic dynamics mainly with application in the area of truss finite element modelling. The presented method of statistical linearisation is applied to numerical testing. In the second part of the article, the sensitivity analysis of the first two stress statistical moments and structural weight minimising subjected to the random stress constrains presented by mean value and standard deviation was brought to the fore. Cross-sectional areas were used as optimising parameters.
2
Content available Optymalizacja strukturalna dla architektów
PL
Poprzez porównanie etapów procesu projektowego w dziedzinie projektowania architektonicznego i projektowania samolotów, zwracając uwagę na sposób obsługi danych i integracji technik, uwidocznione zostały duże różnice w zakresie automatyzacji pewnych procesów projektowych. W projektowaniu architektonicznym, operowanie w takim środowisku, w którym możliwe jest tworzenie modeli parametrycznych, które w swojej logice mają zaprogramowane wytyczne, np. konstrukcyjne, umożliwi projektowanie budynków, których układ strukturalny i funkcjonalny są ze sobą lepiej zintegrowane i zoptymalizowane.
EN
A comparison of the phases of the design process in the field of architectural design and aircraft design, with particular consideration of the differences in data handling and technique integration, has shown large differences in the automation of certain design processes. In the field of architectural design, operating in an environment where it is possible to create parametric models in which logic guidelines such as construction guidelines are programmed, will allow designing buildings whose structural and functional layout are better integrated and optimized.
3
EN
Evolutionary solid bodies undergoing changes of mass, of properties, and of shapes are considered in models of growth and adaptation and similarily in structural optimisation. A fundamental separation of different growth phenomena and a subsequent parametrisation using independent design variables for the amount of substance as well as for molar mass and molar volume facilitates an efficient formulation of the design space. Thus, the effects of design variations, i.e. change of amount of substance, on the variations of the structural response, i.e. the deformation in physical space, can be clearly described. Overall, a novel treatment of growth processes based on an evolution of the amount of substance is outlined. The parallelism of variations in physical and design space are highlighted and compared with the multiplicative decomposition of the deformation gradient into a growth and an elastic part incorporating an incompatible intermediate configuration. This drawback is overcome by a compatible manifold based on material points modelling the amount of substance outside of any geometrical space.
EN
The paper discusses some unique properties of trabecular bone functional adaptation phenomenon, useful in mechanical design. On the basis of the biological process observations and the principle of constant strain energy density on the surface of the structure, the generic structural optimisation system has been developed. Such approach allows fulfilling mechanical theorem for the stiffest design, comprising the optimisations of size, shape and topology, using the concepts known from biomechanical studies. Also the biomimetic solution of multiple load problems is presented.
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