МЕТОДОЛОГИЧЕСКИЕ ОСНОВЫ И ПРАКТИЧЕСКИЕ АСПЕКТЫ РЕШЕНИЯ ЗАДАЧ ОПТИМИЗАЦИИ НЕСУЩИХ СИСТЕМ БЕСПЛАТФОРМЕННЫХ ИНЕРЦИАЛЬНЫХ НАВИГАЦИОННЫХ СИСТЕМ

Abstract

This article describes approaches to solving problems of optimization of bearing structureof strapdown inertial navigation systems (SINS). A typical optimization problem in this case ismultiobjective parametric optimization of the bearing structure of the SINS accelerometer triad inorder to minimize the mass of the bearing structure and minimize deviation angles of the accelerometeraxes under the action of external loads. The ANSYS Mechanical and ANSYSDesignXplorer modules are used as a tool for numerical modeling and optimization, respectively.Practical issues related to parameterization of SINS bearing structure 3D-models, calculation ofaccelerometer axes deviation angles, possible variants of numerical experiment plans, estimationof response sensitivity to input parameters, generation and refinement of the response surface, andmultiobjective optimization are considered. For the rational parametrization of geometry, theSINS device assembly was decomposed, as a result of which the parts and structural elements that have the greatest influence on the considered objective functions were identified. To calculate thedeviation angles of the sensitive elements axes, special two-node finite elements and relations forthe Bryant angles were used, which describe the relative position in space of two coordinate systems.When planning a numerical experiment, at the first stage of optimization, a central compositionplan was used, and at subsequent stages, the parameter space was filled using the Latin hypercubemethod with the option of relations between parameters, which made it possible to avoiddegenerate design options. The response surface was built using the genetic aggregation methodand subsequently refined based on a set of optimal solutions. Optimization for conflicting goals ofmass minimization and stiffness maximization was carried out using a multiobjective genetic algorithm.The described set of approaches to solving optimization problems as a result of an exemplaryseries of calculations made it possible to reduce the mass of a serial SINS bearing structurepart by 23% with fixed stiffness.