Method of optimization for elastic damping suspensions
Abstract
The design of equipment at overloads in aircrafts requires effective methods for analyzing the vibration characteristics of suspensions, as well as the developing the synthesis methods to solve the topical problems. For these purposes the adaptive hybrid optimization method is developed. The objects of optimization are different suspensions of space-crafts and aircrafts units with asymmetrical distribution of masses and different arrangement of joints. Joints are the attachment points in the form of shock absorbers and bellows for joining with pipes. Blocks are considered as solid bodies. The links are highlighted as optimized elements. The main objective of the research is to improve the method of optimizing the parameters of shock absorbers that have to provide protection from vibrations and operating shock loads. The proposed optimization method uses a number of different methods that are operated together. Different criteria and their combination are chosen. These criterions include and overwork information that characterizes the changing situations; namely, mechanical and geometric information about structures, metric parameters of the space where the search is carried out, the prehistory of the computational process by which the possible continuation is established, and nature of the functions system that determine the problem under consideration. Adaptive control is introduced, and it obtains decision vectors, search directions and search steps, respectively to the changing situations. It is possible to effectively minimize the mass of system only with minimization of overload which is the variable parameter. Its boundary determines the domain where the search process of solution is accomplished. So, it is natural to use multi-criteria optimization. In this case, at the same time the optimization of masses and overloads is in progress. Restrictions are imposed on the structural dimensions and strength characteristics of the shock absorbers. As a result of the optimization, the weight of the suspension elements and the overload acting on the suspended block are reduced. The limits are determined of mass and overload diminishing.
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Динамика конструкций при воздействии кратковременных нагрузок / С. С. Кохманюк, А. С. Дмитриев, Г. А. Шелудько и др. – К. : Наук. думка, 1989. – 304 с.
Elliott J. and Peraire J. Practical three-dimensional aerodynamic design and optimization using unstructured meshes. AIAA journal, 1997. – 35(9): Р. 1479–1485,
Баландин, Д. В. Математическое моделирование и оптимизация противоударных систем / Д. В. Баландин // Вестн. Нижегород. ун-та. Сер.: Механика. 2001. № 1. – С. 52–54.
Makeev V. I., Strelnikova E. A., Trofimenko P. E., Bondar A. V. On Choice of Design Parameters for an Aircraft // Int. Appl. Mech. – 2013. – 49, N 5. – Р. 588 – 596.
Дегтярев К. Г., Стрельникова Е. А., Шелудько Г. А. Компьютерное моделирование лопастей ветроустановок с оптимальными параметрами /Вісник Харківського національного університету імені В. Н. Каразіна. Серія: Математичне моделювання. Інформаційні технології. Автоматизовані системи управління, № 19, 2012, С. 81-86.
Васильев, Ф. П. Численные методы решения экстремальных задач / Ф. П. Васильев. – М. : Наука, 1980. – 520 с.
Батищев, Д. Е. Поисковые методы оптимального проектирования / Д. Е. Батищев. – М. : Сов. радио, 1975. – 216 с.
Филипковский, С. В. Эффективность некоторых методов оптимизации упруго-демпферных подвесок агрегатов / С. В. Филипковский // Вестник Нац. техн. ун-та «ХПИ». – 2007. – №. 38. – С. 159–168.
Стрельникова, Е. А. Гибридизация вычислительных процессов: в 2-х ч. Ч. 2. / Е. А. Стрельникова, Г. А. Шелудько. – Харьков : Новое слово, 2007. – 130 с.
Шелудько, Г. А. Гибридные методы в задачах оптимального проектирования. 1. Поисковые методы / Г. А. Шелудько, Е. А. Стрельникова, Б. Я. Кантор. – Харьков : Новое слово, 2008. – 188 с.
Arezki Y. and Van Vliet D., A full analytical implementation of the PARTAN / Frank-Wolfe algorithm for equilibrium assignment, Transportation Science, 1990. – Vol. 24, no. 1, Р. 58–62,
Многокритериальная оптимизация. Математические аспекты / Б. А. Березовский, Ю. М. Барышников, В. И. Борзенко и др. – М. : Наука, 1989. – 128 с.
Mezmaz M., Melab N., and Talbi E. G. Using the multi-start and island models for parallel multi-objective optimization on the computational grid. In Second IEEE International Conference on e-Science and Grid Computing, 2006. – Р. 28-34.
Dinamika konstruktsiy pri vozdeystvii kratkovremennyih nagruzok / S. S. Kohmanyuk, A. S. Dmitriev, G. A. Sheludko i dr. – K. : Nauk. dumka, 1989. – 304 p.
Elliott J. and Peraire J. Practical three-dimensional aerodynamic designand optimization using unstructured meshes. AIAA journal, 1997. – 35(9): P. 1479–1485,
Balandin, D. V. Matematicheskoe modelirovanie i optimizatsiya protivoudarnyih sistem / D. V. Balandin // Vestn. Nizhegorod. un-ta. Ser.: Mehanika. 2001. N. 1. – S. 52–54.
Makeev V. I., Strelnikova E. A., Trofimenko P. E., Bondar A. V. On Choice of Design Parameters for an Aircraft // Int. Appl. Mech. – 2013. – 49, N. 5. – P. 588 – 596.
Degtyarev K. G., Strelnikova E. A., Sheludko G. A. Kompyuternoe modelirovanie lopastey vetroustanovok s optimalnyimi parametrami /VIsnik HarkIvskogo natsIonalnogo unIversitetu ImenI V. N. KarazIna. SerIya: Matematichne modelyuvannya. InformatsIynI tehnologIYi. AvtomatizovanI sistemi upravlInnya, 2012, N 19, P. 81-86.
Vasilev F. P. Chislennyie metodyi resheniya ekstremalnyih zadach / F. P. Vasilev. – M. : Nauka, 1980. – 520 s.
Batischev, D. E. Poiskovyie metodyi optimalnogo proektirovaniya / D. E. Batischev. – M. : Sov. radio, 1975. – 216 s.
Filipkovskiy, S. V. Effektivnost nekotoryih metodov optimizatsii uprugo-dempfernyih podvesok agregatov / S. V. Filipkovskiy // Vestnik Nats. tehn. un-ta «HPI». – 2007. – #. 38. – S. 159–168.
Strelnikova, E. A. Gibridizatsiya vyichislitelnyih protsessov: v 2-h ch. Ch. 2. / E. A. Strelnikova, G. A. Sheludko. – Harkov : Novoe slovo, 2007. – 130 s.
Sheludko, G. A. Gibridnyie metodyi v zadachah optimalnogo proektirovaniya. 1. Poiskovyie metodyi / G. A. Sheludko, E. A. Strelnikova, B. Ya. Kantor. – Harkov : Novoe slovo, 2008. – 188 s.
Arezki Y. and Van Vliet D., A full analytical implementation of the PARTAN / Frank-Wolfe algorithm for equilibrium assignment, Transportation Science, 1990. – vol. 24, N , Р. 58–62.
Mnogokriterialnaya optimizatsiya. Matematicheskie aspektyi / B. A. Berezovskiy, Yu. M. Baryishnikov, V. I. Borzenko i dr. – M. : Nauka, 1989. – 128 p.
Mezmaz M., Melab N., and Talbi E. G. Using the multi-start and island modelsfor parallel multi-objective optimization on the computational grid. In Second IEEE International Conference on e-Science and Grid Computing, 2006. – Р. 28-34.
