Solving dynamic problems of viscoelasticity by method of amplitude-differential approximation

DOI10.1007/BF00883960zbMath0547.73027OpenAlexW1984970491MaRDI QIDQ3339391

Igor K. Senchenkov

Publication date: 1983

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00883960

zbMATH Keywords

dynamic problemsviscoelastic responsevibration modevariable amplitudeamplitude-differential approximation techniqueconstructing close operatorsdifferential asymptotic approximationshistory of deformation

Mathematics Subject Classification ID

Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Dynamical problems in solid mechanics (74Hxx)

Cites Work

• Vibrations of a viscoelastic rod with small non-linearities
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