Automatically assembled large-scale tensegrities by truncated regular polyhedral and prismatic elementary cells

Abstract As a novel type of reticulated structures, tensegrities have found various applications in science and engineering. In this paper, an ingenious assembly method is developed to construct large-scale tensegrities using truncated regular polyhedral tensegrities and prismatic tensegrities as elementary cells. The truncated polyhedral tensegrities with regular polygons on their surfaces are specified as islands, and the prismatic tensegrities are used as bridges to connect these polygons along different directions. This method allows us to construct many types of large-scale tensegrities satisfying the demands of the size and topology. Based on the node-on-node assembly scheme, Z-based truncated regular octahedral tensegrity and its matching quadruplex prismatic tensegrity are employed to produce representative examples with traditional and untraditional shapes. Their mechanical properties are evaluated from the viewpoints of self-equilibrium, stability, and mechanical responses. Our results help to manufacture demanded large-scale tensegrities with delicate mechanical properties, and may be beneficial to construct composite metamaterials.

[1]  Yaozhi Luo,et al.  Form-finding of nonregular tensegrities using a genetic algorithm , 2010 .

[2]  Donald E. Ingber,et al.  From Cellular Mechanotransduction to Biologically Inspired Engineering , 2010, Annals of Biomedical Engineering.

[3]  Huajian Gao,et al.  Snapping instability in prismatic tensegrities under torsion , 2016 .

[4]  R. E. Skelton,et al.  On the additive manufacturing, post-tensioning and testing of bi-material tensegrity structures , 2015, 1504.01122.

[5]  Fernando Fraternali,et al.  Experimental investigation of the softening-stiffening response of tensegrity prisms under compressive loading , 2014, 1406.1104.

[6]  Heping Liu,et al.  Tensegrity configuration method for connecting tensegrity units along their axes , 2017 .

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

[8]  TrimmerBarry.  An Interview with NASA Principal Investigator Vytas SunSpiral: Expert Opinion on the Advantages and Limitations of Soft Robotics , 2015 .

[9]  Huajian Gao,et al.  A Numerical Method for Simulating Nonlinear Mechanical Responses of Tensegrity Structures Under Large Deformations , 2013 .

[10]  Ariel Hanaor,et al.  Double-Layer Tensegrity Grids: Static Load Response. Part I: Analytical Study , 1991 .

[11]  Gerardo Carpentieri,et al.  Three-dimensional modeling of the wave dynamics of tensegrity lattices , 2017 .

[12]  Baojun Zhao,et al.  A New Tensegrity Module — “Torus” , 2008 .

[13]  Mengkai Lu,et al.  Geometrically nonlinear elasto-plastic analysis of clustered tensegrity based on the co-rotational approach , 2015 .

[14]  Huajian Gao,et al.  Constructing tensegrity structures from one-bar elementary cells , 2009, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[15]  Jian Feng,et al.  Prismatic tensegrity structures with additional cables: Integral symmetric states of self-stress and cable-controlled reconfiguration procedure , 2014 .

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

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

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

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

[20]  Gunnar Tibert,et al.  Deployable tensegrity masts , 2003 .

[21]  Xi-Qiao Feng,et al.  Design methods of rhombic tensegrity structures , 2010 .

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

[23]  Hidenori Murakami,et al.  Infinitesimal Mechanism Modes of Tensegrity Modules , 2003 .

[24]  Giuseppe Marano,et al.  Morphological optimization of tensegrity-type metamaterials , 2017 .

[25]  Yaozhi Luo,et al.  General Approach for Topology-Finding of Tensegrity Structures , 2016 .

[26]  Alice M. Agogino,et al.  Soft Spherical Tensegrity Robot Design Using Rod-Centered Actuation and Control , 2016 .

[27]  Sergi Hernandez Juan,et al.  Tensegrity frameworks: Static analysis review. , 2008 .

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

[29]  Xi-Qiao Feng,et al.  Constructing large-scale tensegrity structures with bar–bar connection using prismatic elementary cells , 2015 .

[30]  R. Motro.  Structural morphology of tensegrity systems , 2011 .

[31]  Kenji Nagase,et al.  On a connectivity matrix formula for tensegrity prism plates , 2016 .

[32]  René Motro,et al.  Mechanism-Based Approach for the Deployment of a Tensegrity-Ring Module , 2012 .

[33]  Xi-Qiao Feng,et al.  Self-equilibrium and super-stability of truncated regular polyhedral tensegrity structures: a unified analytical solution , 2012, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[34]  Kenneth Snelson,et al.  The Art of Tensegrity , 2012 .

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

[36]  Hod Lipson,et al.  Automated discovery and optimization of large irregular tensegrity structures , 2009 .

[37]  Li-Yuan Zhang,et al.  Negative stiffness behaviors emerging in elastic instabilities of prismatic tensegrities under torsional loading , 2015 .

[38]  Dieu T. T. Do,et al.  A modified differential evolution algorithm for tensegrity structures , 2016 .

[39]  Fernando Fraternali,et al.  Multiscale tunability of solitary wave dynamics in tensegrity metamaterials , 2014, 1409.7097.

[40]  Jingyao Zhang,et al.  Symmetric prismatic tensegrity structures: Part I. Configuration and stability , 2009 .

[41]  Huajian Gao,et al.  A Tensegrity Model of Cell Reorientation on Cyclically Stretched Substrates. , 2016, Biophysical journal.