Nonlinear harmonic vibrations of laminate plates with viscoelastic layers using refined zig-zag theory. Part 1 – theoretical background
[ 1 ] Instytut Konstrukcji Budowlanych, Wydział Budownictwa i Inżynierii Środowiska, Politechnika Poznańska | [ 2 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ E ] pracownik emerytowany | [ P ] pracownik
2023
artykuł naukowy
angielski
- laminate plates
- viscoelastic material
- fractional Zener material
- volumetric and deviatoric strains refined zig-zag theory
- exponential harmonic balance method
EN The paper is devoted to the theoretical formulation of the harmonic vibrations problem for laminate plates in the von Kàrmàn geometrically non-linear regime. The plate layers are modelled as viscoelastic using the fractional Zener material with the linear elastic material being a special case. The model of the material is formulated with the separation of the volumetric and deviatoric strain. The laminate plate kinematics is described using the refined zig-zag theory. The vibrations of the plate are formulated using the alternative exponential form with complex-conjugate amplitudes. The harmonic balance method and the time-averaging are applied to derive the amplitude equation of the problem in hand. The efficiency and correctness of the formulation is verified in the continuation paper Part 2 – numerical analysis.
01.06.2023
117200-1 - 117200-20
Article Number: 117200
140
6,3 [Lista 2022]