پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 646 |
| تعداد مقالات | 9,433 |
| تعداد مشاهده مقاله | 68,191,698 |
| تعداد دریافت فایل اصل مقاله | 44,648,852 |
Topology optimization of elastic structures with the aim of maximizing the buckling load factor using the level set method | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، Special Issue، اسفند 2021، صفحه 381-398 اصل مقاله (674.46 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22932.2435 | ||
| نویسندگان | ||
| Ali Ghoddosian* ؛ Hesam Abhar | ||
| Faculty of Mechanical Engineering, Semnan University, Semnan, Iran | ||
| تاریخ دریافت: 27 اسفند 1399، تاریخ بازنگری: 17 خرداد 1400، تاریخ پذیرش: 22 خرداد 1400 | ||
| چکیده | ||
| This paper presents a study on Topology optimization of continuum structures with the aim of maximizing the lowest buckling load factor. In the structural shape and topology optimization problems, stability and buckling issues are not usually considered therefore in some cases, long and thin members are obtained in an optimized configuration that can lead to the instability of the structure. In this article level set method incorporating a fictitious interface, energy is applied to find the optimal configuration. One of the main problems in traditional continuum structural optimization methods, which are based on the removal or alterations in element density, is the creation of pseudo buckling modes in the optimization process. These pseudo buckling modes should be identified and removed. The level set optimization method, which is grounded on moving the structure's boundary, has a high ability to control topological complexities. Therefore, the idea of using the level set method has led to the elimination of pseudo buckling modes and the resolving of this problem. Derivation of the required speed term in the level set method is complicated and this derivation term for the buckling load factor is the innovation of this research. Numerical examples are illustrated to prove the effectiveness of this method. | ||
| کلیدواژهها | ||
| Level set؛ Buckling؛ Topology optimization؛ stability؛ pseudo buckling modes | ||
| مراجع | ||
|
[1] G. Allaire, F. Jouve and A.M. Toader, Structural optimization using sensitivity analysis and a level-set method, J. Comput. Phys. 194(1) (2004) 363–393. [2] H.C. Cheng, K.N. Chiang and T.Y. Chen, Optimal configuration design of elastic structures for stability, Int. Conf. High Perf. Comput. Asia-Pacific Region, 2002. [3] P. D. Dunning, E. Ovtchinnikov, J. Scott and H. Alicia Kim, Level-set topology optimization with many linear buckling constraints using an efficient and robust eigensolver, Int. J. Numerical Meth. Engin. 10(12)7 (2016) 1029–1053. [4] X. Gao and H. Ma, Topology optimization of continuum structures under buckling constraints Comput. Struct. 157(C) (2015) 142-152. [5] M. Jansena, G. Lombaerta and M. Schevenelsb, Robust topology optimization of structures with imperfect geometry based on geometric nonlinear analysis, Comput. Meth. Appl. Mech. Engrg. 285 (2015) 452–467. [6] M.M. Neves, H. Rodrigues and J.M. Guedes, Generalized topology design of structures with a buckling load criterion, Struct. Optim. 10(2) (1995) 71–78. [7] M.M. Neves, O. Sigmund and M.P. Bendsoe,Topology optimization of periodic microstructures with a penalization of highly localized buckling modes, Int. J. Numerical Meth. Eng. 54(6) (2002) 809–834. [8] J. Osher and J.A. Sethian, Front propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys. 79(1) (1988) 12–49. [9] M. Otomori, T. Yamada, K. Izui and S.H. Nishiwaki, Matlab code for a level set-based topology optimization method using a reaction diffusion equation, Struct. Multidis. Optim. 51 (2014) 1159–1172. [10] L. Quantian and T. Liyong, Structural topology optimization for maximum linear buckling loads by using a moving iso-surface threshold method, Struct. Multidis. Optim. 52(1) (2015) 71–90. [11] J.A. Sethian and A. Wiegmann, Structural boundary design via level set and immersed interface methods, J. Comput. Phys. 163(2) (2000) 489–528. [12] P. Wei, Z. Li, X. Li1 and M. Yu Wang, An 88-line MATLAB code for the parameterized level set method based topology optimization using radial basis functions, Struct. Multidis. Optim. 58 (2018) 831–849. [13] Qi Xia, M. Yu Wang and Tielin Shi, A level set method for shape and topology optimization of both structure and support of continuum structures, Comput. Meth. Appl. Mech. Engin. 272 (2014) 340–353. [14] Qi Xia, M. Yu Wang and Tielin Shi, A move limit strategy for level set based structural optimization, Engin. Optim. 45(9) (2013) 1061–1072. [15] T. Yamada, K. Izui, S. Nishiwaki and A. Takezawa, A topology optimization method based on the level set method incorporating a fictitious interface energy, Comput. Meth. Appl. Mech. Eng. 199 (2010) 2876–2891. | ||
|
آمار تعداد مشاهده مقاله: 44,062 تعداد دریافت فایل اصل مقاله: 34,519 |
||