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Parametric modeling and shape optimization design of five extended cylindrical reticulated shells
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 Title & Authors
Parametric modeling and shape optimization design of five extended cylindrical reticulated shells
Wu, J.; Lu, X.Y.; Li, S.C.; Xu, Z.H.; Wang, Z.D.; Li, L.P.; Xue, Y.G.;
 Abstract
Five extended cylindrical reticulated shells are proposed by changing distribution rule of diagonal rods based on three fundamental types. Modeling programs for fundamental types and extended types of cylindrical reticulated shell are compiled by using the ANSYS Parametric Design Language (APDL). On this basis, conditional formulas are derived when the grid shape of cylindrical reticulated shells is equilateral triangle. Internal force analysis of cylindrical reticulated shells is carried out. The variation and distribution regularities of maximum displacement and stress are studied. A shape optimization program is proposed by adopting the sequence two-stage algorithm (RDQA) in FORTRAN environment based on the characteristics of cylindrical reticulated shells and the ideas of discrete variable optimization design. Shape optimization is achieved by considering the objective function of the minimum total steel consumption, global and locality constraints. The shape optimization for three fundamental types and five extended types is calculated with the span of 30 m~80 m and rise-span ratio of 1/7~1/3. The variations of the total steel consumption along with the span and rise-span ratio are analyzed with contrast to the results of shape optimization. The optimal combination of main design parameters for five extended cylindrical reticulated shells is investigated. The total steel consumption affected by distribution rule of diagonal rods is discussed. The results show that: (1) Parametric modeling method is simple, efficient and practical, which can quickly generate different types of cylindrical reticulated shells. (2) The mechanical properties of five extended cylindrical reticulated shells are better than their fundamental types. (3) The total steel consumption of cylindrical reticulated shells is optimized to be the least when rise-span ratio is 1/6. (4) The extended type of three-way grid cylindrical reticulated shell should be preferentially adopted in practical engineering. (5) The grid shape of reticulated shells should be designed to equilateral triangle as much as possible because of its reasonable stress and the lowest total steel consumption.
 Keywords
extended cylindrical reticulated shell;APDL;parametric modeling;shape optimization;
 Language
English
 Cited by
 References
1.
Allaire, G., Jouve, F. and Toader, A.M. (2002), "A level-set method for shape optimization", Comptes Rendus Mathematique, 334(12), 1125-1130. crossref(new window)

2.
Chen, L.Z. (1989), The Optimal Method of Discrete Variable-Principle and Application, China Machine Press, Beijing, China.

3.
Chen, Z.H. and Liu, H.B. (2009), APDL Parametric Calculation and Analysis, China Water Power Press, Beijing, China.

4.
Deng, H. and Dong, S.L. (1999), "Shape optimization of spatial reticulated shell structures", J. Zhejiang Univ. (Engineering Science), 33(4), 371-375.

5.
Dietl, J.M. and Garcia, E. (2010), "Beam shape optimization for power harvesting", J. Intell. Mater. Syst. Struct.

6.
Dong, S.L. and Yao, J. (2003), "Future and prospects of reticulated shells", Spatial structure, 9(1), 31-34.

7.
Durgun, I., and Yildiz, A.R. (2012), "Structural design optimization of vehicle components using cuckoo search algorithm", Mater. Test., 54(3), 185-188. crossref(new window)

8.
Emmanuel, N.P., Padmanaban, K.P. and Vasudevan, D. (2014), "Buckling optimization of laminated composite plate with elliptical cutout using ANN and GA", Struct. Eng. Mech., Int. J., 52(4), 815-827. crossref(new window)

9.
Eschenauer, H.A., Kobelev, V.V. and Schumacher, A. (1994), "Bubble method for topology and shape optimization of structures", Struct. Optimiz., 8(1), 42-51. crossref(new window)

10.
Gong, S.G. and Xie, G.L. (2010), ANSYS Parametric Programming and Command Manual, China Machine Press, Beijing, China.

11.
He, Y.J., Qi, D.L. and Dong, S.L. (2001), "Application of chaos optimization algorithm in the optimization of double-layer cylindrical latticed shell", J. China Coal Soc., 26 (6), 663-666.

12.
He, Y.J., Qi, D.L. and Dong, S.L. (2002), "Application of genetic algorithm in the optimization of doublelayer cylindrical latticed shell", J. China Coal Soc., 26(6), 663-666.

13.
Jenkins, W.M. (1991b), "Towards structural optimization via the genetic algorithm", Comput. Struct., 40(5), 1321-1327. crossref(new window)

14.
Jenkins, W.M. (1991a), "Structural optimization with the genetic algorithm", The Struct. Eng., 69(24), 418-422.

15.
Jenkins, W.M. (1997), "On the application of natural algorithms to structural design optimization", Eng. Struct., 19(4), 302-308. crossref(new window)

16.
JGJ7 (2010), Technology Procedures of Space Grid Structures, China Building Industry Press, Beijing, China.

17.
Kaveh, A. and Ahmadi, B. (2014), "Sizing, geometry and topology optimization of trusses using force method and supervised charged system search", Struct. Eng. Mech., Int. J., 50(3), 365-382. crossref(new window)

18.
Kaveh, A. and Khayatazad, M. (2013), "Ray optimization for size and shape optimization of truss structures", Comput. Struct., 117, 82-94. crossref(new window)

19.
Kaveh, A. and Zolghadr, A. (2014), "A new PSRO algorithm for frequency constraint truss shape and size optimization", Struct. Eng. Mech., Int. J., 52(3), 445-468. crossref(new window)

20.
Levy, R., Hanaor, A. and Rizzuto, N. (1994), "Experimental investigation of prestressing in double-layer grids", Int. J. Space Struct., 9(1), 21-26. crossref(new window)

21.
Lu, X.Y., Zhao, X.W. and Huang, L.L. (2012), "Shape optimizing design of kiewiti spherical reticulated shell", Adv. Mater. Res., 424, 324-329.

22.
Lu, X.Y., Zhao, X.W. and Chen, S.Y. (2013), The Optimization of Reticulated Shell Structures Based On Discrete Variables, Building Industry Press, Beijing, China.

23.
Luo, Z., Zhang, N., Gao, W. and Ma, H. (2012), "Structural shape and topology optimization using a meshless Galerkin level set method", Int. J. Numer. Method. Eng., 90(3), 369-389. crossref(new window)

24.
Oudjene, M., Ben-Ayed, L., Delameziere, A. and Batoz, J.L. (2009), "Shape optimization of clinching tools using the response surface methodology with Moving Least-Square approximation", J. Mater. Process. Technol., 209(1), 289-296. crossref(new window)

25.
Qian, X. (2010), "Full analytical sensitivities in NURBS based isogeometric shape optimization", Comput. Method. Appl. Mech. Eng., 199(29), 2059-2071. crossref(new window)

26.
Rajan, S.D. (1995), "Sizing, shape, and topology design optimization of trusses using genetic algorithm", J. Struct. Eng., 121(10), 1480-1487. crossref(new window)

27.
Rahami, H., Kaveh, A. and Gholipour, Y. (2008), "Sizing, geometry and topology optimization of trusses via force method and genetic algorithm", Eng. Struct., 30(9), 2360-2369. crossref(new window)

28.
Saka, M.P. (1991), "Optimum design of steel frames with stability constraints", Comput. Struct., 41(6), 1365-1377. crossref(new window)

29.
Saka, M.P. and Kameshki, E.S. (1998), "Optimum design of nonlinear elastic framed domes", Adv. Eng. Software, 29(7), 519-528. crossref(new window)

30.
Schulz, V.H. (2014), "A riemannian view on shape optimization", Found. Comput. Math., 14(3), 483-501. crossref(new window)

31.
Shang, X.J. and Qiu, F. (2005), ANSYS Structural Finite Element Senior Analysis Method and Sample Applications,China Water Power Press, Beijing, China.

32.
Shen, Z.Y. and Chen, Y.J. (1996), Grid and Lattice Shell, Tongji University Press, Shanghai, China.

33.
Sun, H.C., Chai, S. and Wang, Y.F. (2002), Structural Optimization with Discrete Variables, Dalian University of Technology Press, Dalian, China.

34.
Suzuki, K. and Kikuchi, N. (1991), "A homogenization method for shape and topology optimization", Comput. Appl. Mech. Eng., 93(3), 291-318. crossref(new window)

35.
Thrall, A.P., Zhu, M., Guest, J.K., Paya-Zaforteza, I. and Adriaenssens, S. (2014), "Structural optimization of deploying structures composed of linkages", J. Comput. Civil Eng., 28(3), 04014010. crossref(new window)

36.
Vyzantiadou, M.A., Avdelas, A.V. and Zafiropoulos, S. (2007), "The application of fractal geometry to the design of grid or reticulated shell structures", Comput.-Aid. Des., 39(1), 51-59. crossref(new window)

37.
Wang, Z.D. (2012), "Shape optimization of five developed cylinder latticed shell", Mater Dissertation; Shandong Jianzhu University, Jinan, China.

38.
Wang, C.W. and Tang, G. (2006), "Sectional optimum design of single-layer lattice shells considering structural stability", Spatial Structure, 12(3), 31-34.

39.
Wu, W., Petrini, L., Gastaldi, D., Villa, T., Vedani, M., Lesma, E. and Migliavacca, F. (2010), "Finite element shape optimization for biodegradable magnesium alloy stents", Annals Bomed. Eng., 38(9), 2829-2840. crossref(new window)

40.
Wu, J., Lu, X.Y., Li, S.C., Xu, Z.H., Li, L.P., Zhang, D.L. and Xue, Y.G. (2015a), "Parametric modeling and shape optimization of four typical Schwedler spherical reticulated shells", Struct. Eng. Mech., Int. J., 56(5), 813-833. crossref(new window)

41.
Wu, J., Lu, X.Y., Li, S.C., Zhang, D.L., Xu, Z.H., Li, L.P. and Xue, Y.G. (2015b), "Shape optimization for partial double-layer spherical reticulated shells of pyramidal system", Struct. Eng. Mech., Int. J., 55(3), 555-581. crossref(new window)

42.
Xia, Q., Shi, T., Liu, S. and Wang, M.Y. (2012), "A level set solution to the stress-based structural shape and topology optimization", Comput. Struct., 90, 55-64.

43.
Xu, J., Yang, S.S. and Diao, Y.S. (2006), "Optimized design of single-layer reticulated shell", Spatial Structure, 12(3), 35-37.

44.
Yas, M.H., Shakeri, M. and Ghasemi-Gol, M. (2007), "Two-objective stacking sequence optimization of a cylindrical shell using genetic algorithm", Scientia Iranica, 14(5), 499-506.

45.
Yildiz, A.R. (2013), "Comparison of evolutionary-based optimization algorithms for structural design optimization", Eng. Appl. Artif. Intell., 26(1), 327-333. crossref(new window)

46.
Zhang, N.W. and Dong, S.L. (2003), "Optimum design of single-layer lattice shells considering the effect of geometrical nonlinearity", Spatial Structure, 9(1), 31-34.

47.
Zhang, B.H. and Hou, C. (1998), Optimization Design of Civil Structures, Tongji University Press, Shanghai, China.