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Power Law of Critical Buckling in Structural Members Supported by a Winkler Foundation

Published online by Cambridge University Press:  12 December 2016

M. Sato ,
S. Harasawa ,
Y. Konishi ,
T. Maruyama  and
S. J. Park
M. Sato*
Affiliation:
Division of Engineering and Policy for Sustainable EnvironmentFaculty of EngineeringHokkaido UniversitySapporo, Japan
S. Harasawa
Affiliation:
Division of Engineering and Policy for Sustainable EnvironmentGraduate School of EngineeringHokkaido UniversitySapporo, Japan
Y. Konishi
Affiliation:
Division of Engineering and Policy for Sustainable EnvironmentGraduate School of EngineeringHokkaido UniversitySapporo, Japan
T. Maruyama
Affiliation:
Division of Engineering and Policy for Sustainable EnvironmentGraduate School of EngineeringHokkaido UniversitySapporo, Japan
S. J. Park
Affiliation:
Department of Urban and Environment EngineeringIncheon National UniversityIncheon, Korea
*
*Corresponding author ([email protected])
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Abstract

In the fields of engineering, nanoscience, and biomechanics, thin structural members, such as beams, plates, and shells, that are supported by an elastic medium are used in several applications. There is a possibility that these thin structures might buckle under severe loading conditions; higher-order, complicated elastic buckling modes can be found owing to the balance of rigidities between the thin members and elastic supports. In this study, we have shown a new and simple ‘power law’ relation between the critical buckling strain (or loads) and rigidity parameters in structural members supported by an elastic medium, which can be modelled as a Winkler foundation. The following structural members have been considered in this paper: i) a slender beam held by an outer elastic support under axial loading, ii) cylindrical shells supported by an inner elastic core under hydrostatic pressure (plane strain condition), and iii) complete spherical shells that are filled with an inner elastic medium.

Keywords

Structural memberBucklingWinkler foundationPower law
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 3 , June 2017 , pp. 369 - 374
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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