Generalized design variables in rod system optimization under pulse loading
https://doi.org/10.31675/1607-1859-2022-24-2-76-86
Abstract
The paper presents the comparative analysis of optimization of the multi-element rod system under static and pulse loads at a variable number of design parameters. It is shown that the design concept of generalization of design variables can significantly reduce not only the complexity of solving the optimization problem, but also the quality of the optimum solution. Approaches are proposed for generalizing the multidimensional design parameters for the twodimensional case at the restrictions of the maximum equivalent stress and strain. The proposed optimization of the frame structure proves the effectiveness of these approaches.
About the Authors
G. I. Grebenyuk
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
Grigori I. Grebenyuk - DSc, Professor.
2, Solanaya Str., 634002, Tomsk
V. I. Maksak
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
Vitali I. Maksak - DSc, Professor.
2, Solanaya Str., 634002, Tomsk
M. S. Veshkin
Novosibirsk State University of Architecture and Civil Engineering
Russian Federation
Russian Federation
Maksim S. Veshkin - Senior Lecturer.
113, Leningradskaya Str., 630008, Novosibirsk
References
1. Sergeev N.D., Bogatyrev A.N. Problemy optimal'nogo proektirovaniya konstrukcij [Optimum structural design problems]. Moscow: Stroiizdat, 1971. 136 p. (rus)
2. Rejtman M.I., Shapiro G.S. Metody optimal'nogo proektirovaniya deformiruemyh tel [Optimum design solutions for deformable bodies]. Moscow: Nauka, 1976. (rus)
3. Belsare S.V., Arora J.S. An algorithm for Engineering design Optimization. International Journal for Numerical Methods in Engineering. 1983, V. 19. Pp. 841−858.
4. Schmit L.A. Structural optimization some key ideas and insights. In: New Directions in Optimum Structural Design. E. Atrek et al., eds, Chichester: Wiley, 1984. Pp. 1−45.
5. Banichuk N.V. Vvedenie v optimizaciyu [Introduction to optimization]. Moscow: Nauka, 1986. 302 p. (rus)
6. Feng T.T., Arora J.S., Haug E.J. Optimal structural design under dynamic loads. International Journal for Numerical Methods in Engineering. 1977. V. 11. No. 1. Pp. 39−52.
7. Hog E.J., Arora J. Prikladnoe i optimal'noe proektirovanie. Mekhanicheskie sistemy i konstrukcii [Applied and optimal design: Mechanical systems and structures]. Moscow: Mir, 1983, 478 p. (transl. from Engl.)
8. Lazarev I.B. Osnovy optimal'nogo proektirovaniya konstruktsii. Zadachi i metody [Bases of optimum design. Tasks and methods]. Novosibirsk, 1995. 295 p. (rus)
9. Lyakhovich L.S., Malinovskii A.P. Optimizatsiya nesushchei sposobnosti po ustoichivosti i chastote kolebanii [Optimization of bearing capacity of stability and frequency]. In: Proektirovanie konstruktsii v Krasnoyarskom krae [Spatial structures in the Krasnoyarsk Krai]. 1979. No. 12. Pp. 103−113. (rus)
10. Lyakhovich L.S., Plakhotin A.N. Kriterii optimal'nosti svyazei v zadachakh ustoichivosti i sobstvennykh kolebanii uprugikh sistem [Optimum junction criteria of stability and eigenfrequency of elastic systems]. Izvestiya vuzov. Stroitel'stvo i arkhitektura. 1986. No. 7. Pp. 26−29. (rus)
11. Gerber Yu.A., Sebeshev V.G. Osobennosti rascheta nadezhnosti dinamicheski nagruzhennyh sistem s uchetom effekta nelinejnosti amplitudno-chastotnyh harakteristik v rezonansnyh zonah [Strength analysis of dynamically loaded systems with non-linearity effect of frequencyresponse curves in resonance zones]. Izvestiya vuzov. Stroitel'stvo. 2017. No. 5. Pp. 5–16. (rus)
12. Grebenyuk G.I., Roev V.I., Veshkin M.S. Optimizaciya sterzhnevyh sistem pri dejstvii impul'snyh nagruzok. [Optimization of rod systems under pulse loads]. In: Problemy optimal'nogo proektirovaniya sooruzhenii: doklady IV-go Vserossiiskogo seminara (Proc. 4th All-Russ. Sem. ‘Problems of Optimum Design of Structures’). Novosibirsk, 2002. Pp. 108−118. (rus)
13. Grebenyuk G.I., Veshkin M.S. Diskretnye modeli rascheta i optimizatsii sterzhnevykh konstruktsii pri impul'snom nagruzhenii [Discrete models of rod design calculation and optimization under pulse load]. Izvestiya Altaiskogo GU. 2012. No. 1. Pp. 36−38. (rus)
14. Grebenyuk G.I., Veshkin M.S. Razrabotka algoritmov chislennogo raschyota i optimizacii sterzhnevyh sistem pri dejstvii impul'snyh nagruzok [Logical design of numerical calculation and optimization of bar systems under dynamic loads]. Vestnik of Tomsk State University of Architecture and Building. 2014. No. 4 (45). Pp. 106−116. (rus)
15. Sobolev V.I., Nguen Fu Tuan. Obespechenie minimal'nogo znacheniya amplitud sobstvennyh kolebanij uprugih sistem pri vozdejstvii mgnovennogo impul'sa [Ensuring the minimum value of peak eigen-frequency of elastic systems under instantaneous pulse load]. Sistemy. Metody. Tekhnologii. 2013. No. 3 (19). Pp. 34−38. (rus)
16. Grebenyuk G.I. Preobrazovanie iskhodnoj zadachi konechnomernoj optimizacii pri proektirovanii konstrukcij [Transformation of initial finite-dimensional optimization problem in structural design]. In: Prochnost' i ustojchivost' inzhenernyh sooruzhenij [Strength and stability of engineering structures]. Barnaul: API, 1987. Pp. 15−22. (rus)
17. Grebenyuk G.I. Effektivnyi metod dekompozicii zadach optimizacii konstrukcii [Effective method of decomposition of structural optimization problems]. In: Problemy fundamental'nykh nauk: trudy II Mezhd. konf (Proc. 2nd Int. Sci. Conf. ‘Problems of Basic Research’). Moscow, 1994. (rus)
Review
For citations:
Grebenyuk G.I., Maksak V.I., Veshkin M.S. Generalized design variables in rod system optimization under pulse loading. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture. 2022;24(2):76-86. (In Russ.) https://doi.org/10.31675/1607-1859-2022-24-2-76-86
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