Perturbation methods for moderately elliptical plates with a core

DOI10.1007/S00707-010-0298-5zbMath1398.74162OpenAlexW2080484568MaRDI QIDQ608967

H. Yüce, Chang Yi Wang

Publication date: 29 November 2010

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-010-0298-5

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items (2)

Three-dimensional static and dynamic analysis of functionally graded elliptical plates, employing graded finite elements ⋮ Analytical study of acceleration waves on a nonlinear, externally damped string

Cites Work

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• A higher-order boundary perturbation method for asymmetric dynamic problems in solids. I. General formulation
• Examination of the fundamental frequencies of annular plates with small core
• Fundamental frequency of clamped plates with circularly periodic boundaries
• Vibrations of Moderately Elliptic Clamped Plates: A Perturbation Scheme for Eigenvalues
• Free vibration of simply supported and clamped elliptical plates
• Free Vibration of Clamped Elliptical Plates
• Vibration of a simply-supported elliptical plate
• Analysis of Heterogeneous Anisotropic Plates
• Vibrational problems in elliptical coordinates

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