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FREE DAMPED VIBRATIONS OF VISCOELASTIC MATERIALS

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Abstract (2. Language): 
Free damper vibrations of viscoelastic rod,beam,plate and shell reducible to the solution of a certain integro-differential equation. Full solution of this equation for the kernel of relaxation in the form of sum of N exponential f~lnctionsw ith different negative indexes is constritcted in the present ai-tic1e.lteration processes for calcrrlating frequency and damping coefficient, which are the real and iinaginaiy parts of two complexconjugated roots of frequency equation, are givcn.In the case of positive relaxed module, the fact that the frequency equation has N futher real negative poles, in addition to the two complex poles obtained above, is proved. Analysis of obtainetl solutions and their con~parisonsw ith results available in literature are performed.
29-40

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REFERENCES

References: 

[I] Ilyushin A.A.,Larionov G.S.,Filatov A.N.,"On Avereging in a Systems
of Integro-differential Equations",D.A.A! SSSR, 188(1), (1969) (in
Itussian)
[2] Tlyasov,M.H.,G~~rbanov,N~?'.,th"Te oS olution of Integro-differential
Equation of Free Vibrations of Viscoelastic
System",D.A.N.Azerb.,Mo,5,(19(8i4n) R ussian).
[3] Clwistensen, R.M., Theory of Viscoelusticity (An introtluction), Academic
Press (194 1).
[4] Ilyasov,l\JI.H.,Al

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