Enumeration of optimal pin-jointed bistable compliant mechanisms with non-crossing members
- 163 Downloads
An optimization approach is presented for enumerating pin-jointed bistable compliant mechanisms. In the first stage, the statically determinate trusses with non-crossing members containing a given set of nodes and some pre-defined members are regarded as minimally rigid framework or a Laman framework, and are enumerated without repetitions by the graph enumeration algorithm. In the second stage, the nodal locations and the cross-sectional areas are optimized under mechanical constraints, where the snapthrough behavior is extensively utilized to produce a pin-jointed bistable compliant mechanism. In the numerical examples, many bistable compliant mechanisms are generated to show the effectiveness of the proposed method.
KeywordsBistable structure Compliant mechanism Minimally rigid framework Snapthrough
Unable to display preview. Download preview PDF.
- Arora JS, Tseng CH (1987) Idesign user’s manual, ver. 3.5. Technical report, Optimal Design Laboratory, The University of IowaGoogle Scholar
- Avis D, Katoh N, Ohsaki M, Streinu I, Tanigawa S (2008) Enumerating constrained non-crossing minimally rigid frameworks. Discrete Comput Geom (published online) (also available at: http://arxiv.org/abs/math/0608102v2)
- Graver J, Servatius B, Servatius H (1993) Combinatorial rigidity. Grad Stud Math 2Google Scholar
- Larsen UD, Sigmund O, Bouswstra S (1996) Design and fabrication of compliant micromechanisms and structures with negative poisson’s ratio. In Proc. IEEE 9th annual int. workshop on micro electro mech. sys. An investigation of micro structures, sensors, actuators, machines and systems. IEEE, San Diego, CA, pp 365–371Google Scholar
- Masters ND, Howell LL (2003) A self-retracting fully compliant bistable micromechanism. J MEMS 12:273–280Google Scholar
- Pedersen CBW, Buhl T, Sigmund O (2002) Topology optimization of large-displacement compliant mechanisms. Int J Numer Methods Eng 44:1215–1237Google Scholar