Averaging in problems of the bending and oscillation of stressed inhomogeneous plates

DOI10.1016/0021-8928(87)90036-0zbMath0692.73014OpenAlexW2071999985MaRDI QIDQ583925

Alexander G. Kolpakov

Publication date: 1987

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(87)90036-0

zbMATH Keywords

asymptotic method of homogenizationbounded uniformlyirregular elastic constantsirregular thicknessoperators are not known a priori to be of fixed signsequences of linear selfadjoint operatorsStatic bendingstressed in their plane

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Inhomogeneity in solid mechanics (74E05) Functional calculus for linear operators (47A60) Averaging method for ordinary differential equations (34C29)

Related Items (2)

Homogenized model for plate periodic structure with initial stresses ⋮ Averaging in problems of the bending and oscillation of stressed inhomogeneous plates

Cites Work

• Averaging in problems of the bending and oscillation of stressed inhomogeneous plates
• Effective rigidities of composite plates
• Homogenization and bifurcation of perforated plates
• Determination of the average characteristics of elastic frameworks
• AVERAGING ANDG-CONVERGENCE OF DIFFERENTIAL OPERATORS
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