Computational Aspects of the Design of Micro Mechanical Hinged Structures
Towards Design Automation of MEMS (1990-1992)
Karl F. Böhringer, Bruce R. Donald (Cornell)
We are interested in determining the shape of micro mechanical hinged
structures, given specifications of their parameterized geometry and their
functionality. Interactions between mechanism components are reflected
in their configuration space (C-space). Each pair of components in contact
is responsible for a surface region in C-space. Adjacency relationships
of these regions define a C-space graph whose nodes represent contact
states of the mechanism, and whose edges represent physically feasible
state transitions. Parameterized components result in parameterized regions,
and thus parameterized C-space graphs.
Functionality requirements may dictate properties of parts of the C-space
graph, e.g. a certain start or an end state, or a certain path of states.
We describe an algorithm that determines values of design parameters such
that given functional requirements are satisfied.
|Figure 1: Micromechanical
hinged plate (top and side view). Picture thanks to Kris Pister.
||Figure 2: Micromechanical
hinged mechanism rotating out of the wafer plane (top and side view).
Picture thanks to Kris Pister.
|Figure 3: The
figures show a parameterized C-space from two different points of
view. The corresponding mechanism has two degrees of freedom (x and
y axis), and one design parameter (z axis). Different horizontal slices
of this graph may have very different shapes. This means that the
corresponding designs exhibit different functionality.
- Rama Prasad, Karl F. Böhringer, Noel C. MacDonald, "Design, Fabrication,
and Characterization of SCS Latching Snap Fasteners for Micro Assembly."
ASME International Mechanical Engineering Congress and Exposition
(IMECE), no. DSC-16A-1, San Francisco, California, November 12-17,
- Karl F. Böhringer, "A Computational Approach to the Design of
Micromechanical Hinged Structures." ACM SIGGRAPH Symposium on Solid
Modeling and Applications, pp. 457-458, Montréal, Québec, Canada,
May 1993 (extended
abstract / poster).
- K.-F. Böhringer, "Application of Computational Topology
to the Design of Microelectromechanical Structures." Proceedings
of the NSF Design and Manufacturing Systems Grantees Conference,
Charlotte, North Carolina (January 1993). Paper.
A complete list of our publications
(many of them available online) can be found here.
- NSF IRI-8802390, IRI-9000532 and by a Presidential Young Investigaor
award to Bruce Donald
- Air Force Oce of Sponsored Research, the Mathematical Sciences Institute,
Intel Corporation, and AT&T Bell Laboratories
© Karl F. Böhringer, Department of Electrical Engineering, Box
352500, Seattle, WA 98195-2500, USA