ارائه‌ی الگوریتم‌های بهینه‌سازی کارا با استفاده از روش رشد سازگار بیولوژیکی

نوع مقاله : پژوهشی

نویسندگان

• سیدمحمدحسین جزایری ابنوی
• محمدحسین ابوالبشری

دانشگاه فردوسی مشهد

10.22067/civil.v25i2.40613

چکیده

تاکنون روش‌های مختلفی برای بهینه‌سازی شکل و ساختار سازه‌های مکانیکی با الهام از رفتار طبیعت تدوین گردیده است. در این مقاله با استفاده از اصل رشد سازگار بیولوژیکی، دو الگوریتم برای بهینه‌سازی شکل و ساختار ارائه شده است. الگوریتم اول به یک صفحه‌ی سوراخ ‌دار و نیز یک فیلت و الگوریتم دوم به یک تیر مخروطی و نیز یک تیر با سطح مقطع متفاوت اعمال شده است. نتایج نشان می‌دهد که عمر خستگی صفحه‌ی سوراخ ‌دار تا 40 برابر افزایش و تنش‌های ماکزیمم فیلت نسبت به نتایج دیگر پژوهشگران 6درصد کاهش یافته است. هم‌چنین این الگوریتم می‌تواند حجم سازه را به‌ طور قابل توجهی کاهش دهد.

کلیدواژه‌ها

• بهینه‌سازی شکل
• بهینه‌سازی ساختار
• رشد سازگار بیولوژیکی
• عمر خستگی

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عنوان مقاله [English]

Development of Robust Optimization Algorithms Based on Adaptive Biological Growth Method

نویسندگان [English]

• S.M.H. Jazayeri
• M.H. Abolbashari

چکیده [English]

Many shape and topology optimization methods have been inspired from the nature. In this paper, two different optimization algorithms based on the adaptive biological growth (ABG) have been applied to some structural elements. The first algorithm is developed for the shape optimization and is applied to a plate with a central hole as well as a fillet plate. The second algorithm is the soft kill option (SKO) that is applied to a cone cantilever beam and a beam with variable cross section where the optimum topology of them are sought. The results show that the fatigue life of the plate with a central hole is increased by 40 times. Also, the maximum normalized first principle stress is 6% lower and finally, the volume of the optimum structure is less than those obtained by other researchers.

کلیدواژه‌ها [English]

• Shape Optimization
• Topology Optimization
• Adaptive Biological Growth
• Fatigue Life

مراجع

1. Fleury, C., "Reconciliation of mathematical programming and optimality criteria approaches to structural optimization.", in: Morris AJ (ed) Foundations of structural optimization: a unified approach. Wiley, Chichester, pp. 363–404, (1982).

2. Wu, Z., "An efficient approach for shape optimization of components", International Journal of Mechanical Sciences, Vol. 47, pp. 1595–1610, (2005).

3. Rozvany, G.I.N.,"A critical review of established methods of structural topology optimization" Struct Multidisc Optim, Vol. 37, pp. 217–237, (2009).

4. Fanni, M., Schnack, E. and Granwald, J., "Shape optimization of dynamically loaded machine parts", International Journal of Pressure Vessels & Piping, Vol. 59, pp. 281-297, (1994).

5. Querin, O.M., "Evolutionary structural optimization: stress based formulation & implementation", PhD Dissertation, department of Aeronautical engineering, university of Sydney, Australia, (1997).

6. Mattheck, C. and Tesari, I., "The mechanical self-optimization of trees", Design and Nature ІІ, pp. 197-206, (2003).

7. Das, R. and Jones, R., "Development of a 3D biological method for fatigue life based optimisation and its application to structural shape design", International Journal ofFatigue, Vol. 31, no. 2, pp. 309–321, (2009).

8. Tekkaya, A. and Gűneri, A., "Shape optimization with the biological growth method: a parameter study",Engineering Computations, Vol. 13, No. 8, pp. 4–18, (1996).

9. Ledermann, M., Tesari, I. and Mattheck, C., "CAO-shape optimization of a fillet with a complex, time dependent loading", International Conference on Computer Aided Optimum Design of Structures, OPTI, Bologna, Proceedings 7, pp. 203-210, (2001).

10. Mattheck, C., "Teacher tree: The evolution of notch shape optimization from complex to simple", Engineering Fracture Mechanics, Vol. 73, no.12, pp. 1732-1742, (2006).

11. Peng, D. and Jones, R., "An approach based on biological algorithm for three-dimensional shape optimization with fracture strength constrains",Comput. Methods Appl. Mech. Engrg, Vol. 197, pp. 4383–4398, (2008).

12. ANSYS(R), SAS IP, Inc. Released 10.0 UP 20050718

13. Mattheck, C., Erb, D., Bethge, K. and Begemann, U., "Three-dimensional shapeoptimization of a bar with arectangular hole",Fatigue Fract Eng Mater. Struct, 15, pp. 347–351, (1992).

14. Baumgartner, A., Harzheim L. and Mattheck, C., "SKO (Soft Kill Option): thebiological way to find an optimum structure topology", International Journal of Fatigue, Vol. 14, pp. 387–393, (1992).

15. Seo, Y.D., Kim, H.J. and Youn, S.K., "Shape optimization and its extension to topological design based on isogeometric analysis", International Journal of Solids and Structures, Vol. 47,11-12, pp. 1618–1640, (2010).