Buckling of a sandwich symmetrical circular plate with varying mechanical properties of the core

doi:10.1007/s10483-018-2347-8

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (7): 981-992.doi: https://doi.org/10.1007/s10483-018-2347-8

Buckling of a sandwich symmetrical circular plate with varying mechanical properties of the core

E. MAGNUCKA-BLANDZI¹, K. WISNIEWSKA-MLECZKO², M. J. SMYCZYNSKI³, P. KEDZIA³

1. Institute of Mathematics, Poznan University of Technology, Poznan 60-965, Poland;
2. Department of Engineering and Technology, State University of Applied Sciences in Konin, Konin 62-510, Poland;
3. Institute of Applied Mechanics, Poznan University of Technology, Poznan 60-139, Poland

收稿日期:2017-10-29 修回日期:2018-02-14 出版日期:2018-07-01 发布日期:2018-07-01
通讯作者: K. WISNIEWSKA-MLECZKO E-mail:karolina.sta.wisniewska@doctorate.put.poznan.pl

Buckling of a sandwich symmetrical circular plate with varying mechanical properties of the core

E. MAGNUCKA-BLANDZI¹, K. WISNIEWSKA-MLECZKO², M. J. SMYCZYNSKI³, P. KEDZIA³

1. Institute of Mathematics, Poznan University of Technology, Poznan 60-965, Poland;
2. Department of Engineering and Technology, State University of Applied Sciences in Konin, Konin 62-510, Poland;
3. Institute of Applied Mechanics, Poznan University of Technology, Poznan 60-139, Poland

Received:2017-10-29 Revised:2018-02-14 Online:2018-07-01 Published:2018-07-01
Contact: K. WISNIEWSKA-MLECZKO E-mail:karolina.sta.wisniewska@doctorate.put.poznan.pl

摘要/Abstract

摘要： This paper is devoted to analytical and numerical studies of global buckling of a sandwich circular plate. The mechanical properties of the plate core vary along its thickness, remaining constant in the facings. The middle surface of the plate is its symmetrical plane. The mathematical model of the plate is presented. The field of displacements is formulated using the proposed nonlinear hypothesis that generalizes the classical hypotheses. The equations of equilibrium are formulated based on the principle of stationary total potential energy. The proposed mathematical model of the displacements considers the shear effect. The numerical model of the plate is also formulated with a view to verify the analytical one. Numerical calculations are carried out for the chosen family of plates. The values of the critical load obtained by the analytical and numerical methods are compared. The effects of the material properties of the core and the change of the plate radius on the critical load intensity are presented.

关键词: laminated spherical shell, dynamic response, transverse shear deformation, rotatory inertia, finite difference method, critical load, mathematical modeling, sandwich circular plate, global buckling

Abstract: This paper is devoted to analytical and numerical studies of global buckling of a sandwich circular plate. The mechanical properties of the plate core vary along its thickness, remaining constant in the facings. The middle surface of the plate is its symmetrical plane. The mathematical model of the plate is presented. The field of displacements is formulated using the proposed nonlinear hypothesis that generalizes the classical hypotheses. The equations of equilibrium are formulated based on the principle of stationary total potential energy. The proposed mathematical model of the displacements considers the shear effect. The numerical model of the plate is also formulated with a view to verify the analytical one. Numerical calculations are carried out for the chosen family of plates. The values of the critical load obtained by the analytical and numerical methods are compared. The effects of the material properties of the core and the change of the plate radius on the critical load intensity are presented.

Key words: laminated spherical shell, dynamic response, transverse shear deformation, rotatory inertia, finite difference method, mathematical modeling, critical load, sandwich circular plate, global buckling

中图分类号:

E. MAGNUCKA-BLANDZI, K. WISNIEWSKA-MLECZKO, M. J. SMYCZYNSKI, P. KEDZIA. Buckling of a sandwich symmetrical circular plate with varying mechanical properties of the core[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(7): 981-992.

参考文献

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Buckling of a sandwich symmetrical circular plate with varying mechanical properties of the core

Buckling of a sandwich symmetrical circular plate with varying mechanical properties of the core

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