Enumeration of optimal pin-jointed bistable compliant mechanisms with non-crossing members

被引：0
作者：
M. Ohsaki
N. Katoh
T. Kinoshita
S. Tanigawa
D. Avis
I. Streinu
机构：
[1] Kyoto University,Department of Architecture and Architectural Engineering
[2] McGill University,School of Computer Science
[3] Smith College,Department of Computer Science
来源：
Structural and Multidisciplinary Optimization | 2009年 / 37卷
关键词：
Bistable structure; Compliant mechanism; Minimally rigid framework; Snapthrough;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：645 / 651
页数：6
相关论文
共 36 条
[1]  
Avis D(1996)Reverse search for enumeration Discrete Appl Math 65 21-46
[2]  
Fukuda K(2007)Enumerating non-crossing minimally rigid frameworks Graphs Comb 23 117-134
[3]  
Avis D(2004)Toward the topology design of mechanisms that exhibit snap-through behavior Comput Methods Appl Mech Eng 193 3973-4000
[4]  
Katoh N(2004)Planar articulated mechanism design by graph theoretical enumeration Struct Optim 27 295-299
[5]  
Ohsaki M(1988)On discrete and discretized non-linear elastic structures in unilateral contact (stability, uniqueness and variational principles) Int J Solids Struct 24 459-479
[6]  
Streinu I(2004a)Topology optimization for synthesis of contact-aided compliant mechanisms using regularized contact modeling Comput Struct 82 1267-1290
[7]  
Tanigawa S(2004b)Topology synthesis of electrothermal compliant mechanisms using line elements Struct Multidiscipl Optim 26 209-218
[8]  
Bruns TE(2003)A self-retracting fully compliant bistable micromechanism J MEMS 12 273-280
[9]  
Sigmund O(2001)Optimal structural design considering flexibility Comput Methods Appl Mech Eng 190 4457-4504
[10]  
Kawamoto A(2005)Design sensitivity analysis and optimization for nonlinear buckling of finite-dimensional elastic conservative structures Comput Methods Appl Mech Eng 194 3331-3358
1234