Qualitative model-based analysis of truss structures

Karol Rosłaniec; Zenon Kulpa; Michał K Kleiber

Karol Rosłaniec Institute of Fundamental Technological Research, Polish Academy of Sciences
Zenon Kulpa Institute of Fundamental Technological Research, Polish Academy of Sciences
Michał K Kleiber Institute of Fundamental Technological Research, Polish Academy of Sciences

Abstract

The paper discusses some methods of commonsense reasoning applicable to analysis of truss structures. The proposed method, based on qualitative representation of trusses, allows to reach conclusions in the case of highly incomplete knowledge about the system. Two cases are considered. First, when only the general geometry of the structure is known, without the quantitative knowledge of stiffness coefficients of bars. Second, with additional assumption that all stiffness coefficients of bars are roughly equal.

Keywords

References

[1] E. Davis. Representations of Commonsense Knowledge. Morgan Kaufmann Publishers, Inc., San Mateo, CA, 1990.
[2] K.D. Forbus. Qualitative physics: Past, present, and future. In: H.E. Shrobe, ed., Exploring Artificial Intelligence, 239-296. Morgan Kaufmann Publishers, Inc., San Mateo, CA, 1988.
[3] M. Kleiber. Computer-assisted qualitative mechanics: an exemplary simulation of a 'snap-through' problem. Computers and Structures, 52(6): 1261- 1268, 1994.
[4] M. Kleiber, Z. Kulpa. Computer-assisted hybrid reasoning in simulation and analysis of physical systems. Computer Assisted Mechanics and Engineering Sciences, 2: 165-186, 1995.
[5] B. Kuipers. Qualitative reasoning: Modeling and Simulation with Incomplete Knowledge. The MIT Press, Cambridge, MA, 1994.