Abstract
The load-displacement relations and buckling loads of Mises trusses, which are used in a bistable structural element, has been investigated in this paper. For the snap-through struts, von Mises trusses are connected to the adjacent elastic structural elements that provide elastic types of supports to the ends of the trusses. The elastically supporting actions of the other elements on a truss were replaced by equivalent springs. Then the effects of the elastic supports on the behavior of von Mises trusses, which rarely appear to be reported in the open literature, were discussed.
Similar content being viewed by others
References
M. Tupputi, “A Bi-Stable Rolling Hinge for Variable Geometry Structures,” Int. J. Struct. Engng 1 (3/4), 299–311 (2010).
V. C. Anderson and R. C. Horn, “Tensor Arm Manipulator Design,” ASME Paper 67-DE-57 (1967).
B. Roth, J. Rastegar, and V. Scheinman, “On the Design of Computer Controlled Manipulators,” in First CISM-IFTMM Symposium on Theory and Practice of Robots and Manipulation, pp. 93–113 (1973).
T. Schioler, Multi-Stable Structural Elements Ph. D. Thesis (University of Cambridge, 2005).
T. Schioler and S. Pellegrino, “Space Frames with Multiple Stable Configurations,” AIAA J. 45 (7), 1740–1747 (2007).
Z. P. Bazant and L. Cedolin, Stability of Structures (Oxford University Press, Oxford, 1991).
J. G. Cai, Y. X. Xu, J. Feng, and J. Zhang, “Mechanical Behaviour of Bistable Struts,” Proc. IMechE Part C: J. Mech. Engng Sci. 226, 1321–1325 (2012).
S. Ligaro and P. Valvo, “A Self-Adaptive Sstrategy for Uniformly Accurate Tracing of the Equilibrium Paths of Elastic Reticulated Structures,” Int. J. Num. Meth. Engng 46, 783–804 (1999).
S. Ligaro and P. Valvo, “Large Displacement Analysis of Elastic Pyramidal Trusses,” Int. J. Sol. Struct. 43, 4867–4887 (2006).
D. A. Pecknold, J. Ghaboussi, and T. J. Healey, “Snap-Through and Bifurcation in a Simple Structure,” J. Engng Mech. 111 (7), 909–922 (1985).
M. Greco and C. E. R. Vicente, “Analytical Solutions for Geometrically Nonlinear trusses,” Rem: Rev. Esc. Min. 62 (2), 205–214 (2009).
L. Kwasniewski, “Complete Equilibrium Paths for Mises Trusses,” Int. J. Non-Lin. Mech. 44, 19–26 (2009).
V. A. Eremeyev and L. P. Lebedev, “On the Loss of Stability of Von Mises Truss with the Effect of Pseudo-Elasticity,” Mat.: Ens. Univ. XIV (2), 111–118 (2006).
J. G. Cai, Q. Zhang, J. Feng, and Y. X. Xu, “Modeling and Kinematic Path Selection of Retractable Kirigami Roof Structures,” Comp.-Aid. Civ. Infr. Engng 34, 352–363 (2019).
J. G. Cai, R. G. Yang, X. Y. Wang, and J. Feng, “Effect of Initial Imperfections of Struts on the Mechanical Behavior of Tensegrity Structures,” Comp. Struct. 207, 871–876 (2019).
J. G. Cai, X. W. Deng, and J. Feng, “Effects of Symmetric Imperfections on the Behavior of Bistable Struts,” Mat. Mech. Sol. 22(12), 2240–2252 (2017).
M. Rezaiee-Pajand and A. R. Naghavi, “Accurate Solutions for Geometric Nonlinear Analysis of Eight Trusses,” Mech. Bas. Des. Struct. Mach., 39, 46–82 (2011).
J. G. Cai, Y. X. Xu, J. Feng, and J. Zhang, “In-Plane Elastic Buckling of Shallow Parabolic Arches under an External Load and Temperature Changes,” J. Struct. Engng ASCE 138(11), 1300–1309 (2012).
Y. -L. Pi, M. A. Bradford, and F. Tin-Loi, “Nonlinear Analysis and Buckling of Elastically Supported Circular Shallow Arches,” Int. J. Sol. Struct., 44 (7–8), 2401–2425 (2007).
Acknowledgments
The work presented in this article was supported by the National Natural Science Foundation of China (Grant No. 51822805, No. 51578133, and No. U1637207), the Natural Science Foundation of Jiangsu Province (Grant No. BK20170083), and the Six top talent peak projects of Jiangsu Province (Grant No. JZ-001). Authors also thank the anonymous reviewers for their valuable comments and thoughtful suggestions which improved the quality of the presented work.
Author information
Authors and Affiliations
Corresponding authors
About this article
Cite this article
Cai, J., Feng, J. & Xu, Y. Effects of Elastic Supports on the Snap-through Buckling of Mises Trusses. Mech. Solids 54, 486–490 (2019). https://doi.org/10.3103/S0025654419020122
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0025654419020122