Dissipative properties of composite structures. 1. Statement of problem
Object and purpose of research. The object under study is a sandwich plate with two rigid anisotropic layers and a filler of soft isotropic viscoelastic polymer. Each rigid layer is an anisotropic structure formed by a finite number of orthotropic viscoelastic composite plies of arbitrary orientatio...
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| Autores principales: | , , |
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| Formato: | article |
| Lenguaje: | EN RU |
| Publicado: |
Krylov State Research Centre
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/085eccc61a084e7bae5b03f51d989716 |
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| Sumario: | Object and purpose of research. The object under study is a sandwich plate with two rigid anisotropic layers and a filler of soft isotropic viscoelastic polymer. Each rigid layer is an anisotropic structure formed by a finite number of orthotropic viscoelastic composite plies of arbitrary orientation. The purpose is to develop a mathematical model of sandwich plate.
Subject matter and methods. The mathematical model of sandwich plate decaying oscillations is based on Ha- milton variational principle, Bolotin’s theory of multilayer structures, improved theory of the first order plates (Reissner-Mindlin theory), complex modulus model and principle of elastic-viscoelastic correspondence in the linear theory of viscoelasticity. In description of physical relations for rigid layers the effects of oscillation frequencies and ambient temperature are considered as negligible, while for the soft viscoelastic polymer layer the temperature-frequency relation of elastic-dissipative characteristics are taken into account based on experimentally obtained gene- ralized curves.
Main results. Minimization of the Hamilton functional makes it possible to reduce the problem of decaying oscilla-tions of anisotropic sandwich plate to the algebraic problem of complex eigenvalues. As a specific case of the general problem, the equations of decaying longitudinal and transversal oscillations are obtained for the globally orthotropic sandwich rod by neglecting deformations of middle surfaces of rigid layers in one of the sandwich plate rigid layer axes directions.
Conclusion. The paper will be followed by description of a numerical method used to solve the problem of decaying oscil-lations of anisotropic sandwich plate, estimations of its convergence and reliability are given, as well as the results of numerical experiments are presented. |
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