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Engineering with Computers
Erschienen in: Engineering with Computers 6/2022

18.02.2022 | Original Article

Size-controlled cross-scale robust topology optimization based on adaptive subinterval dimension-wise method considering interval uncertainties

verfasst von: Lei Wang, Xingyu Zhao, Dongliang Liu

Erschienen in: Engineering with Computers | Ausgabe 6/2022

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Abstract

In this paper, a cross-scale robust topology optimization (CS-RTO) method for fixed boundary structures considering the uncertainties of the magnitude and the direction of forces is proposed, which can simultaneously constrain the robustness of structural response and unit-cell configuration. By establishing an adaptive subinterval partition strategy and based on the subinterval dimension-wise method, the adaptive subinterval dimension-wise method (ASDWM) is developed for strongly nonlinear propagation analysis problems. In addition, to obtain a more robust unit-cell configuration to enhance the structural manufacturability and suppress the influence of manufacturing defects on the properties of the unit cell, the filter-projection technique is used to control the minimum length scale of the unit cell. Finally, two examples are presented to demonstrate the applicability and effectiveness of the methodology that has been developed.
Vorheriger Artikel Wrinkling of finite-strain membranes with mixed solid-shell elements
Nächster Artikel Highly efficient variant of SAV approach for two-phase incompressible conservative Allen–Cahn fluids

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Literatur
1.
Allaire G, Jouve F (2005) A level-set method for vibration and multiple loads structural optimization. Comput Methods Appl Mech Eng 194(30/33):3269–3290MathSciNetMATH
2.
Zhang W, Kang Z (2017) Robust shape and topology optimization considering geometric uncertainties with stochastic level set perturbation. Int J Numer Methods Eng 110(1):31–56MathSciNetMATH
3.
Sigmund O (1994) Design of material structures using topology optimization. Technical University of Denmark Denmark
4.
Qiu Z, Liu D, Wang L, Xia H (2019) Scale-span stress-constrained topology optimization for continuum structures integrating truss-like microstructures and solid material. Comput Methods Appl Mech Eng 355:900–925MathSciNetMATH
5.
Auricchio F, Bonetti E, Carraturo M, Hoemberg D, Reali A, Rocca E (2020) A phase-field-based graded-material topology optimization with stress constraint. Math Models Methods Appl Sci 30(8):1461–1483MathSciNetMATH
6.
Deng H, To A (2021) A parametric level set method for topology optimization based on deep neural network (DNN). J Mech Des 143:1–14
7.
Huang X, Xie Y (2010) A further review of ESO type methods for topology optimization. Struct Multidiscip Optim 41:671–683
8.
Yan J, Guo X, Cheng G (2016) Multi-scale concurrent material and structural design under mechanical and thermal loads. Comput Mech 57(3):437–446MathSciNetMATH
9.
Wang L, Zhao X, Liu D, Chen X (2021) Uncertainty-oriented double-scale topology optimization with macro reliability limitation and micro manufacturing control. Int J Numer Methods Eng 122:2254–2286
10.
Liu D, Qiu Z (2021) A subinterval dimension-wise method for robust topology optimization of structures with truss-like lattice material under unknown but bounded uncertainties. Struct Multidiscip Optim 64: 1241–1258MathSciNet
11.
Pizzolato A, Sharma A, Maute K, Sciacovelli A, Verda V (2019) Multi-scale topology optimization of multi-material structures with controllable geometric complexity—applications to heat transfer problems. Comput Methods Appl Mech Eng 357:112552MathSciNetMATH
12.
Liu Y, Wang L, Qiu Z, Chen X (2021) A dynamic force reconstruction method based on modified Kalman filter using acceleration responses under multi-source uncertain samples. Mech Syst Signal Process 159:107761
13.
Wang L, Liu D, Yang Y, Wang X, Qiu Z (2017) A novel method of non-probabilistic reliability-based topology optimization corresponding to continuum structures with unknown but bounded uncertainties. Comput Methods Appl Mech Eng 326:573–595MathSciNetMATH
14.
Carraturo M, Hennig P, Alaimo G, Heindel L, Auricchio F, Kästner M et al (2021) Additive manufacturing applications of phase-field-based topology optimization using adaptive isogeometric analysis. GAMM Mitteilungen 44(3):e202100013MathSciNet
15.
Zhang W, Zhou L (2018) Topology optimization of self-supporting structures with polygon features for additive manufacturing. Comput Methods Appl Mech Eng 334:56–78MathSciNetMATH
16.
Park S-I, Rosen DW, Choi S-K, Duty CE (2014) Effective mechanical properties of lattice material fabricated by material extrusion additive manufacturing. Addit Manuf 1:12–23
17.
Zhang X, He J, Takezawa A, Kang Z (2018) Robust topology optimization of phononic crystals with random field uncertainty. Int J Numer Methods Eng 115(9):1154–1173MathSciNet
18.
Ghanem R (1999) Stochastic finite elements with multiple random non-Gaussian properties. J Eng Mech 125(1):26–40
19.
Wang L, Liu Y, Liu Y (2019) An inverse method for distributed dynamic load identification of structures with interval uncertainties. Adv Eng Softw 131:77–89
20.
Jiang C, Bi RG, Lu GY, Han X (2013) Structural reliability analysis using non-probabilistic convex model. Comput Methods Appl Mech Eng 254(2):83–98MathSciNetMATH
21.
Ben-Haim Y, Elishakoff I (1990) Convex models of uncertainty in applied mechanics. Stud. Appl. Mech Elsevier, AmsterdamMATH
22.
Benhaim Y, Elishakoff I (1989) Non-probabilistic models of uncertainty in the nonlinear buckling of shells with general imperfections: theoretical estimates of the knockdown factor. J Appl Mech 56(2):403–410MATH
23.
Jiang C, Han X, Liu GR (2007) Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval. Comput Methods Appl Mech Eng 196(49):4791–4800MATH
24.
Ma M, Wang L (2021) Reliability-based topology optimization framework of two-dimensional phononic crystal band-gap structures based on interval series expansion and mapping conversion method. Int J Mech Sci 196:106265
25.
Wang L, Liu J, Yang C, Wu D (2021) A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers. Appl Math Model 92:422–446MathSciNetMATH
26.
Ben-Haim Y (1994) A non-probabilistic concept of reliability. Struct Saf 14(4):227–245
27.
Ben-Haim Y, Elishakoff I (1995) Discussion on: a non-probabilistic concept of reliability. Struct Saf 17(3):195–199
28.
Asadpoure A, Tootkaboni M, Guest JK (2011) Robust topology optimization of structures with uncertainties in stiffness—application to truss structures. Comput Struct 89(11):1131–1141
29.
Kharmanda G, Olhoff N, Mohamed A, Lemaire M (2004) Reliability-based topology optimization. Struct Multidiscip Optim 26(5):295–307
30.
Dunning PD, Kim HA (2013) Robust topology optimization: minimization of expected and variance of compliance. AIAA J 51(11):2656–2664
31.
Kogiso N, Ahn W, Nishiwaki S, Izui K, Yoshimura M (2008) Robust topology optimization for compliant mechanisms considering uncertainty of applied loads. J Adv Mech Design Syst Manuf 2(1):96–107
32.
Wang L, Zhao X, Wu Z, Chen W (2022) Evidence theory-based reliability optimization for cross-scale topological structures with global stress, local displacement, and micro-manufacturing constraints. Struct Multidiscip Optim 65:23MathSciNet
33.
Wang F, Lazarov BS, Sigmund O (2011) On projection methods, convergence and robust formulations in topology optimization. Struct Multidiscip Optim 43(6):767–784MATH
34.
Schevenels M, Lazarov BS, Sigmund O (2015) Robust topology optimization accounting for spatially varying manufacturing errors. Comput Methods Appl Mech Eng 200(49):3613–3627MATH
35.
Richardson JN, Coelho RF, Adriaenssens S (2015) Robust topology optimization of truss structures with random loading and material properties: a multiobjective perspective. Comput Struct 154:41–47
36.
Guo X, Zhao X, Zhang W, Yan J, Sun G (2015) Multi-scale robust design and optimization considering load uncertainties. Comput Methods Appl Mech Eng 283:994–1009MathSciNetMATH
37.
Chan Y-C, Shintani K, Chen W (2019) Robust topology optimization of multi-material lattice structures under material and load uncertainties. Front Mech Eng 14:141–152
38.
Deng J, Chen W (2017) Concurrent topology optimization of multiscale structures with multiple porous materials under random field loading uncertainty. Struct Multidiscip Optim 56:1–19MathSciNet
39.
Wu Y, Li E, He Z, Lin XY, Jiang H (2020) Robust concurrent topology optimization of structure and its composite material considering uncertainty with imprecise probability. Comput Methods Appl Mech Eng 364:112927MathSciNetMATH
40.
Zheng J, Luo Z, Jiang C, Gao J (2019) Robust topology optimization for concurrent design of dynamic structures under hybrid uncertainties. Mech Syst Signal Process 120:540–559
41.
Andreassen E, Andreasen CS (2014) How to determine composite material properties using numerical homogenization. Comput Mater Sci 83(2):488–495
42.
Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1(4):193–202
43.
Rozvany GIN, Zhou M, Birker T (1992) Generalized shape optimization without homogenization. Struct Optim 4(3–4):250–252
44.
Luo Z, Wang X, Liu D (2020) Prediction on the static response of structures with large-scale uncertain-but-bounded parameters based on the adjoint sensitivity analysis. Struct Multidiscip Optim 61(1):123–139
45.
Luo Z, Wang X, Shi Q, Liu D (2021) UBC-constrained non-probabilistic reliability-based optimization of structures with uncertain-but-bounded parameters. Struct Multidiscip Optim 63(1):311–326MathSciNet
46.
Xiong C, Wang L, Liu G, Shi Q (2019) An iterative dimension-by-dimension method for structural interval response prediction with multidimensional uncertain variables. Aerosp Sci Technol 86:572–581
47.
Xu M, Qiu Z (2014) A dimension-wise method for the static analysis of structures with interval parameters. Sci China Phys Mech Astron 57(10):1934–1945
48.
Wu J, Luo Z, Zhang N, Zhang Y (2015) A new uncertain analysis method and its application in vehicle dynamics. Mech Syst Signal Process 50:659–675
49.
Svanberg K (1987) The method of moving asymptotes—a new method for structural optimization. Int J Numer Methods Eng 24(2):359–373MathSciNetMATH
50.
Liu S, Cheng G, Gu Y, Zheng X (2002) Mapping method for sensitivity analysis of composite material property. Struct Multidiscip Optim 24(3):212–217
Metadaten
Titel
Size-controlled cross-scale robust topology optimization based on adaptive subinterval dimension-wise method considering interval uncertainties
verfasst von
Lei Wang
Xingyu Zhao
Dongliang Liu
Publikationsdatum
18.02.2022
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 6/2022
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-022-01615-8

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