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Dynamic response of structures constructed from smart materials

T K Caughey

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The dynamic analysis of structures constructed of homogeneous smart materials is greatly simplified by the observation that the eigenfunctions of such structures are identical to those of the same structures constructed entirely of purely elastic materials. The dynamic analysis of such structures is thus reduced to the analysis of the temporal behaviour of the eigenmodes of the structure. The theory is illustrated for both continuous and discrete structures using the generalization of 'positive position feedback' to distributed control.


PACS

81.40.Jj Elasticity and anelasticity, stress-strain relations

45.80.+r Control of mechanical systems

62.20.D- Elasticity

02.30.Yy Control theory

02.10.Ud Linear algebra

Subjects

Mathematical physics

Condensed matter: structural, mechanical & thermal

Dates

Issue 1A (March 1995)



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