Design of a new tensegrity cantilever structure

Abstract This study mainly focuses on the design of a new cantilever structure and its minimal mass optimization subject to yield and buckling constraints. Given a vertical force in a constant distance from a vertical wall, the minimal mass design of a two elements structure with and without anchorage length limitation of the wall is first studied. To further reduce the total structural mass of, a sector cantilever structure is proposed, and the advantage of choosing equal bar length and connecting strings to the center of a circle is proved. Given finite anchorage length of the wall, a tailored sector cantilever structure with finite anchorage length is proposed. Minimal mass design of the sector cantilever with and without anchorage length constraint can be obtained by processing a constrained nonlinear optimization of shape parameters. Considering the penalty of joint mass, the optimal complexity of the sector cantilever will decrease as the penalty coefficient increases. Numerical results are given to show the efficiency of the proposed cantilever structures in saving mass.

[1]  Cornel Sultan,et al.  Deployment of foldable tensegrity-membrane systems via transition between tensegrity configurations and tensegrity-membrane configurations , 2019, International Journal of Solids and Structures.

[2]  Julian J. Rimoli,et al.  On the impact tolerance of tensegrity-based planetary landers , 2016 .

[3]  Kaan Yildiz,et al.  A novel deployment strategy for tensegrity towers , 2018 .

[4]  Xi-Qiao Feng,et al.  Stiffness matrix based form-finding method of tensegrity structures , 2014 .

[5]  René Motro,et al.  Tensegrity: Structural Systems for the Future , 2003 .

[6]  Yaozhi Luo,et al.  Form-finding of a new kind of tensegrity tori using overlapping modules , 2017 .

[7]  R. Skelton,et al.  Minimum mass design of tensegrity bridges with parametric architecture and multiscale complexity , 2014 .

[8]  A. Michell.  LVIII. The limits of economy of material in frame-structures , 1904 .

[9]  J. Rimoli,et al.  Mechanical response of 3-dimensional tensegrity lattices , 2017 .

[10]  Yaozhi Luo,et al.  Topology Optimization of Tensegrity Structures Considering Buckling Constraints , 2018 .

[11]  Robert E. Skelton,et al.  Design and control of tensegrity morphing airfoils , 2020 .

[12]  William Prager.  NEARLY OPTIMAL DESIGN OF TRUSSES , 1978 .

[13]  Mamoru Kawaguchi,et al.  Optimum shapes of a cable dome structure , 1999 .

[14]  Kenji Nagase,et al.  Double-Helix Tensegrity Structures , 2015 .

[15]  William Prager,et al.  Optimal layout of cantilever trusses , 1977 .

[16]  B. Crosnier,et al.  Active Control of Tensegrity Systems , 1998 .

[17]  A. Tibert,et al.  Review of Form-Finding Methods for Tensegrity Structures , 2003 .

[18]  K. Koohestani,et al.  On the analytical form-finding of tensegrities , 2017 .

[19]  Xi-Qiao Feng,et al.  A unified solution for self-equilibrium and super-stability of rhombic truncated regular polyhedral tensegrities , 2013 .

[20]  Aguinaldo Fraddosio,et al.  Minimal mass and self-stress analysis for innovative V-Expander tensegrity cells , 2019, Composite Structures.

[21]  J. Rimoli,et al.  Material symmetry phase transitions in three-dimensional tensegrity metamaterials , 2018, Journal of the Mechanics and Physics of Solids.

[22]  Hilary Bart-Smith,et al.  The analysis of tensegrity structures for the design of a morphing wing , 2007 .

[23]  E. P. Peraza Hernandez,et al.  Theoretical study of tensegrity systems with tunable energy dissipation , 2019, Extreme Mechanics Letters.

[24]  Haresh Lalvani,et al.  Origins Of Tensegrity: Views Of Emmerich, Fuller And Snelson , 1996 .

[25]  Raj Kumar Pal,et al.  Design and impact response of 3D-printable tensegrity-inspired structures , 2019, Materials & Design.

[26]  Glaucio H. Paulino,et al.  Unraveling tensegrity tessellations for metamaterials with tunable stiffness and bandgaps , 2019, Journal of the Mechanics and Physics of Solids.

[27]  Fernando Fraternali,et al.  A tensegrity approach to the optimal reinforcement of masonry domes and vaults through fiber-reinforced composite materials , 2015 .

[28]  Robert E. Skelton,et al.  Globally stable minimal mass compressive tensegrity structures , 2016 .

[29]  C. Sultan,et al.  Control‐oriented modeling and deployment of tensegrity–membrane systems , 2017 .

[30]  Francisco J. Campa,et al.  Kinematic Analysis of a Flexible Tensegrity Robot , 2017 .

[31]  Xingfei Yuan,et al.  A New Genetic Algorithm-based Topology Optimization Method of Tensegrity Tori , 2019, KSCE Journal of Civil Engineering.

[32]  Shuo Ma,et al.  Form-finding of tensegrity structures based on the LevenbergMarquardt method , 2017 .

[33]  Huajian Gao,et al.  A Monte Carlo form-finding method for large scale regular and irregular tensegrity structures , 2010 .

[34]  Y. Kanno.  Topology optimization of tensegrity structures under compliance constraint: a mixed integer linear programming approach , 2013 .

[35]  Shuo Ma,et al.  Shape optimization of a new tensegrity torus , 2019, Mechanics Research Communications.

[36]  René Motro,et al.  Form-Finding of Nonregular Tensegrity Systems , 2006 .

[37]  Shankar Subramaniam,et al.  Mechanisms Defining the Neuronal State Space , 2018 .

[38]  Fernando Fraternali,et al.  A minimal mass deployable structure for solar energy harvesting on water canals , 2017 .

[39]  Kenji Nagase,et al.  Tensile Tensegrity Structures , 2012 .

[40]  Haijun Peng,et al.  Nonlinear dynamic and deployment analysis of clustered tensegrity structures using a positional formulation FEM , 2018 .

[41]  Maurício C. de Oliveira,et al.  Optimal tensegrity structures in bending: The discrete Michell truss , 2010, J. Frankl. Inst..

[42]  Jaehong Lee,et al.  A novel method for topology design of tensegrity structures , 2016 .

[43]  Yaozhi Luo,et al.  Multistable Tensegrity Structures , 2011 .

[44]  Jingyao Zhang,et al.  Node-based genetic form-finding of irregular tensegrity structures , 2015 .