Анализ чувствительности характеристик поворотно-симметричных многокомпонентных конструкций к варьированию параметров
Дата
2017
DOI
10.20998/2078-9130.2017.40.119715
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Назва журналу
Номер ISSN
Назва тому
Видавець
НТУ "ХПІ"
Анотація
При оптимальном проектировании циклически-симметричной конструкции с учетом технологической наследственности вместо детерминированного критерия может рассматриваться оценка функционала по наихудшим или по среднестатистическим отклонениям варьируемых параметров в рамках допусков. Анализ чувствительности циклически-симметричной конструкции специфичен тем, что полный набор варьируемых параметров определяется комплектом, описывающим переменные проектирования отдельного сектора. Производные функционалов отыскиваются для целой циклически-симметричной конструкции. Учет циклической симметрии приводит к значительному уменьшению количества арифметических операций и существенному снижению объемов хранимой и обрабатываемой информации. Проанализированы методики анализа чувствительности прочностных и динамических характеристик. Приведены примеры решения задач для подшипникового узла качения и обратимой гидромашины.
Sensitivity analysis can be used in systems of optimal interactive and automated design, when identifying or updating mathematical models, debugging; non-destructive testing and vibration diagnostics of production and operation, stochastic analysis of characteristics in the field of random deviations of geometric parameters and material properties. In the optimal design of a cyclically symmetric design, taking into account the technological heredity, instead of a deterministic criterion, an evaluation of the functional by the worst or the average statistical deviations of the variable parameters within the limits of tolerances can be considered. The problem of the optimal designation of tolerances at a minimum manufacturing cost with constraints on the worst (within tolerances) deviations of dynamic or strength functionals is considered. The sensitivity analysis of the finite element model allows taking into account the kinematic constraints, the complex geometry of the volumetric form, the distribution of loads and the physical properties of materials. The analysis of the sensitivity of a cyclically symmetrical design is specific in that a complete set of variable parameters is determined by a set describing the design variables of a particular sector. Derivatives of functionals are sought for an entire cyclically symmetric construction. Accounting for cyclic symmetry leads to a significant reduction in the number of arithmetic operations and a significant reduction in the amount of stored and processed information. The methods for analyzing the sensitivity of strength and dynamic characteristics are analyzed. Examples of solving problems for a bearing rolling unit and a reversible hydraulic machine are given.
Sensitivity analysis can be used in systems of optimal interactive and automated design, when identifying or updating mathematical models, debugging; non-destructive testing and vibration diagnostics of production and operation, stochastic analysis of characteristics in the field of random deviations of geometric parameters and material properties. In the optimal design of a cyclically symmetric design, taking into account the technological heredity, instead of a deterministic criterion, an evaluation of the functional by the worst or the average statistical deviations of the variable parameters within the limits of tolerances can be considered. The problem of the optimal designation of tolerances at a minimum manufacturing cost with constraints on the worst (within tolerances) deviations of dynamic or strength functionals is considered. The sensitivity analysis of the finite element model allows taking into account the kinematic constraints, the complex geometry of the volumetric form, the distribution of loads and the physical properties of materials. The analysis of the sensitivity of a cyclically symmetrical design is specific in that a complete set of variable parameters is determined by a set describing the design variables of a particular sector. Derivatives of functionals are sought for an entire cyclically symmetric construction. Accounting for cyclic symmetry leads to a significant reduction in the number of arithmetic operations and a significant reduction in the amount of stored and processed information. The methods for analyzing the sensitivity of strength and dynamic characteristics are analyzed. Examples of solving problems for a bearing rolling unit and a reversible hydraulic machine are given.
Опис
Ключові слова
анализ чувствительности, механика, поворотно-симметричные конструкции, подшипники качения, sensitivity analysis, cyclically symmetric structure, finite element method, rolling bearing
Бібліографічний опис
Назаренко С. А. Анализ чувствительности характеристик поворотно-симметричных многокомпонентных конструкций к варьированию параметров / С. А. Назаренко // Вісник Нац. техн. ун-ту "ХПІ" : зб. наук. пр. Сер. : Динаміка і міцність машин = Bulletin of the National Technical University "KhPI" : coll. works. Ser. : Dynamics and Strength of Machines. – Харків : НТУ "ХПІ", 2017. – № 40 (1262). – С. 54-57.