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Abstract: This paper presents an elements-grouped morphogenesis method for the design of grid shells based on finding the linkage mechanism system shape that corresponds to the state of minimum potential energy. This method assigns the elements to several groups according to architectural design intentions and requirements to optimize a structural shape. A shape transformation equation is derived to constrain the total length of elements in each element group in the morphogenesis process and the generalized inverse matrix theory is then used to resolve the equation. The positions of nodes are, thus, progressively updated until the system reaches the minimum potential energy state. This method is characterized by the settings of element groups, temporary elements, and temporary forces. Finally, several numerical examples illustrate the characteristics and effectiveness of the proposed method.

基于联动机构的结构形态创构方法

[1]Adriaenssens S, Block P, Veenendaal D, et al., 2014. Shell Structures for Architecture: Form Finding and Optimization. Routledge, New York, USA.

[2]Adriaenssens SML, Barnes MR, 2001. Tensegrity spline beam and grid shell structures. Engineering Structures, 23(1):29-36.

[3]Alic V, Persson K, 2016. Form finding with dynamic relaxation and isogeometric membrane elements. Computer Methods in Applied Mechanics and Engineering, 300: 734-747.

[4]Argyris JH, Angelopoulos T, Bichat B, 1974. A general method for the shape finding of lightweight tension structures. Computer Methods in Applied Mechanics and Engineering, 3(1):135-149.

[5]Bagrianski S, Halpern AB, 2014. Form-finding of compressive structures using prescriptive dynamic relaxation. Computers & Structures, 132:65-74.

[6]Barnes MR, 1977. Form Finding and Analysis of Tension Space Structures by Dynamic Relaxation. PhD Thesis, City University London, London, UK.

[7]Barnes MR, 1988. Form-finding and analysis of prestressed nets and membranes. Computers & Structures, 30(3):685-695.

[8]Barnes MR, 1999. Form finding and analysis of tension structures by dynamic relaxation. International Journal of Space Structures, 14(2):89-104.

[9]Barnes MR, Adriaenssens S, Krupka M, 2013. A novel torsion/bending element for dynamic relaxation modeling. Computers & Structures, 119:60-67.

[10]Bel Hadj Ali N, Rhode-Barbarigos L, Pascual Albi AA, et al., 2010. Design optimization and dynamic analysis of a tensegrity-based footbridge. Engineering Structures, 32(11):3650-3659.

[11]Bel Hadj Ali N, Rhode-Barbarigos L, Smith IFC, 2011. Analysis of clustered tensegrity structures using a modified dynamic relaxation algorithm. International Journal of Solids and Structures, 48(5):637-647.

[12]Bletzinger KU, Ramm E, 1999. A general finite element approach to the form finding of tensile structures by the updated reference strategy. International Journal of Space Structures, 14(2):131-145.

[13]Bletzinger KU, Wüchner R, Daoud F, et al., 2005. Computational methods for form finding and optimization of shells and membranes. Computer Methods in Applied Mechanics and Engineering, 194(30-33):3438-3452.

[14]Block P, Ochsendorf J, 2007. Thrust network analysis: a new methodology for three-dimensional equilibrium. Journal of the International Association for Shell and Spatial Structures, 48(3):167-173.

[15]Cui CY, Jiang BS, Wang YB, 2014. Node shift method for stiffness-based optimization of single-layer reticulated shells. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 15(2):97-107.

[16]Day AS, 1965. An introduction to dynamic relaxation. The Engineer, 219(5688):218-221.

[17]Descamps B, Filomeno Coelho R, Ney L, et al., 2011. Multicriteria optimization of lightweight bridge structures with a constrained force density method. Computers & Structures, 89(3-4):277-284.

[18]Gosling PD, Lewis WJ, 1996. Optimal structural membranes —II. Form-finding of prestressed membranes using a curved quadrilateral finite element for surface definition. Computers & Structures, 61(5):885-895.

[19]Haber RB, Abel JF, 1982. Initial equilibrium solution methods for cable reinforced membranes part I—formulations. Computer Methods in Applied Mechanics and Engineering, 30(3):263-284.

[20]Hangai Y, Kawaguchi KI, 1987. Shape-finding analysis of unstable link structures. Journal of Structural and Construction Engineering, 381:56-60.

[21]Haug E, Powell GH, 1972. Analytical shape finding for cable nets. Proceedings of the IASS Pacific Symposium Part II on Tension Structures and Space Frames, p.83-92.

[22]Isler H, 1994. Concrete shells derived from experimental shapes. Structural Engineering International, 4(3):142-147.

[23]Jorquera Lucerga JJ, Armisen JM, 2012. An iterative form-finding method for antifunicular shapes in spatial arch bridges. Computers & Structures, 108-109:42-60.

[24]Kilian A, Ochsendorf J, 2005. Particle-spring systems for structural form finding. Journal of the International Association for Shell and Spatial Structures, 46(2):77-84.

[25]Maurin B, Motro R, 1998. The surface stress density method as a form-finding tool for tensile membranes. Engineering Structures, 20(8):712-719.

[26]Maurin B, Motro R, 2004. Concrete shells form-finding with surface stress density method. Journal of Structural Engineering, 130(6):961-968.

[27]Moored KW, Bart-Smith H, 2009. Investigation of clustered actuation in tensegrity structures. International Journal of Solids and Structures, 46(17):3272-3281.

[28]Pauletti RMO, Pimenta PM, 2008. The natural force density method for the shape finding of taut structures. Computer Methods in Applied Mechanics and Engineering, 197(49-50):4419-4428.

[29]Sánchez J, Serna MÁ, Morer P, 2007. A multi-step force-density method and surface-fitting approach for the preliminary shape design of tensile structures. Engineering Structures, 29(8):1966-1976.

[30]Schek HJ, 1974. The force density method for form finding and computation of general networks. Computer Methods in Applied Mechanics and Engineering, 3(1):115-134.

[31]Shan J, Lan T, 1994. On dynamic relaxation and its application to static analysis of tension structures. Journal of Southeast University, 24(3):94-98 (in Chinese).

[32]Siev A, Eidelman J, 1964. Stress analysis of prestressed suspended roofs. Journal of the Structural Division, 90(4):103-121.

[33]Xie YM, Steven GP, 1993. A simple evolutionary procedure for structural optimization. Computers & Structures, 49(5):885-896.

[34]Zhang L, Lu MK, Zhang HW, et al., 2015. Geometrically nonlinear elasto-plastic analysis of clustered tensegrity based on the co-rotational approach. International Journal of Mechanical Sciences, 93:154-165.