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Design of “Intelligent” Structures as a Discrete Optimal Problem
Electronic Notes in Discrete Mathematics 27 (2006) 59–60 www.elsevier.com/locate/endm
Design of ”Intelligent” Structures as a Discrete Optimal Problem Alexander A. Kolpakov 1 Dept. of Mathematics and Mechanics Novosibirsk State University Novosibirsk, RUSSIA
A.G. Kolpakov Novosibirsk, RUSSIA
Keywords: optimal control design, structural design
The smart structure has actuators and processor among those constitutive elements. Using these devices, the structure can adapt themselves to an external force applied to the structure. The designer has to place the actuators and develop control instruction for processor in the best way. As a result, one arrives at a coupled ”optimal control design -structural design” problem. By the simplest example - the beam ”active shape preservation” problem, we present new method of integrated ”optimal control design -structural” design. The problem can be formulated as a problem about positions of convex domains in high (but finite)-dimensional space. 1
Email: [email protected]
1571-0653/$ – see front matter © 2006 Elsevier B.V. All rights reserved. doi:10.1016/j.endm.2006.08.055
60
A.A. Kolpakov, A.G. Kolpakov / Electronic Notes in Discrete Mathematics 27 (2006) 59–60
We present an algorithm (besed on ideas of computational geometry and convex combinations problem) and numerical examples of design of ”intelligent” beam. It demonstrates that the structural design and the design of intelligence are two stages of solution of the same universal problem. The following conclusions are made as a result of the mathematical amnalysis of the problem. A structure demonstrates the existence/absence of the intelligence only be subjected to the action of an inner factors. There exist two level of the ”intelligence”: the high-intelligence and if-then instructions intelligence (the ”knowledge”).
References [1] Kolpakov, A.A. and Kolpakov, A.G., Design of smart beam - an integrated design procedure, Structural and Multidisciplinary Optimization. 2006, V. 31, N1.
Design of ”Intelligent” Structures as a Discrete Optimal Problem Alexander A. Kolpakov 1 Dept. of Mathematics and Mechanics Novosibirsk State University Novosibirsk, RUSSIA
A.G. Kolpakov Novosibirsk, RUSSIA
Keywords: optimal control design, structural design
The smart structure has actuators and processor among those constitutive elements. Using these devices, the structure can adapt themselves to an external force applied to the structure. The designer has to place the actuators and develop control instruction for processor in the best way. As a result, one arrives at a coupled ”optimal control design -structural design” problem. By the simplest example - the beam ”active shape preservation” problem, we present new method of integrated ”optimal control design -structural” design. The problem can be formulated as a problem about positions of convex domains in high (but finite)-dimensional space. 1
Email: [email protected]
1571-0653/$ – see front matter © 2006 Elsevier B.V. All rights reserved. doi:10.1016/j.endm.2006.08.055
60
A.A. Kolpakov, A.G. Kolpakov / Electronic Notes in Discrete Mathematics 27 (2006) 59–60
We present an algorithm (besed on ideas of computational geometry and convex combinations problem) and numerical examples of design of ”intelligent” beam. It demonstrates that the structural design and the design of intelligence are two stages of solution of the same universal problem. The following conclusions are made as a result of the mathematical amnalysis of the problem. A structure demonstrates the existence/absence of the intelligence only be subjected to the action of an inner factors. There exist two level of the ”intelligence”: the high-intelligence and if-then instructions intelligence (the ”knowledge”).
References [1] Kolpakov, A.A. and Kolpakov, A.G., Design of smart beam - an integrated design procedure, Structural and Multidisciplinary Optimization. 2006, V. 31, N1.