Longitudinal-transversal vibrations of viscoelastic rods with consideration of physical and geometric nonlinearities. (English) Zbl 0365.73052
MSC:
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
| 74B99 | Elastic materials |
| 74C99 | Plastic materials, materials of stress-rate and internal-variable type |
| 74D99 | Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) |
| 74K99 | Thin bodies, structures |
References:
| [1] | A. R. Rzhanitsyn, The Theory of Creep [in Russian], Stroiizdat, Moscow (1968). |
| [2] | H. Kauderer, Nonlinear Mechanics [Russian translation], IL, Moscow (1961). |
| [3] | A. A. Il’yushin and B. E. Pobedrya, Foundations of the Mathematical Theory of Thermoviscoelasticity [in Russian], Nauka, Moscow (1970). |
| [4] | N. N. Bogolyubov and Yu. A. Mitropol’skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], 4th Edition, Nauka, Moscow (1974). |
| [5] | Yu. A. Mitropol’skii, The Averaging Method in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971). |
| [6] | A. N. Filatov, Asymptotic Methods in the Theory of Differential and Integrodifferential Equations [in Russian], Fan, Tashkent (1974). · Zbl 0364.45010 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
