TY - GEN
T1 - Relaxed approach to structural optimization
AU - Kohn, Robert V.
PY - 1993
Y1 - 1993
N2 - Consider a material whose physical properties are controllable, with two possible states. Suppose further that the control can be applied in a distributed manner, e.g. by laying down a very fine grid and specifying the state of each cell independently. Can we design 'smart structures' by adjusting the control to optimize some performance criterion? This problem is difficult because the set of possible controls is discrete. There is a natural way to make it continuous, however, known as the 'relaxed approach.' Physically, it amounts to the introduction of composite materials as structural components. Mathematically, it amounts to the introduction of fluttering controls. It has evolved over the past 15 years, through the combined effort of many individuals. This is a review paper. The goal is not to present new mathematical results, but rather to publicize the technique of relaxation. Perhaps some readers will known of new problems where this technique could be used to advantage.
AB - Consider a material whose physical properties are controllable, with two possible states. Suppose further that the control can be applied in a distributed manner, e.g. by laying down a very fine grid and specifying the state of each cell independently. Can we design 'smart structures' by adjusting the control to optimize some performance criterion? This problem is difficult because the set of possible controls is discrete. There is a natural way to make it continuous, however, known as the 'relaxed approach.' Physically, it amounts to the introduction of composite materials as structural components. Mathematically, it amounts to the introduction of fluttering controls. It has evolved over the past 15 years, through the combined effort of many individuals. This is a review paper. The goal is not to present new mathematical results, but rather to publicize the technique of relaxation. Perhaps some readers will known of new problems where this technique could be used to advantage.
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M3 - Conference contribution
AN - SCOPUS:0027226444
SN - 0819411523
T3 - Proceedings of SPIE - The International Society for Optical Engineering
SP - 325
EP - 327
BT - Proceedings of SPIE - The International Society for Optical Engineering
PB - Publ by Society of Photo-Optical Instrumentation Engineers
T2 - Smart Structures and Materials 1993: Mathematics in Smart Structures
Y2 - 1 February 1993 through 3 February 1993
ER -