Local buckling of profiled skin sheets resting on tensionless elastic foundations under uniaxial compression

Dong, Jianghui and Zhuge, Yan and Mills, Julie E. and Ma, Xing (2016) Local buckling of profiled skin sheets resting on tensionless elastic foundations under uniaxial compression. Thin-Walled Structures, 103. pp. 81-89. ISSN 0263-8231

Abstract

This paper details an analytical study on the contact buckling problem of infinite profiled skin sheets in unilateral contact with Winkler foundations. The profiled sheets are modelled as thin orthotropic plates resting on tensionless Winkler foundations, the buckling behaviour of which can be expressed through a group of nonlinear partial differential equations for both of the contact plate part and the noncontact plate part. The governing equations are further modified to a group of ordinary differential equations after presenting the lateral plate buckling mode through an appropriate displacement function. Thus the system is simplified as a one-dimensional mathematical model. After solving the governing equations of the one-dimensional model, contact buckling coefficients of the system and the related buckling modes are obtained. Fitted formulas for the contact buckling coefficients in terms of relative foundation stiffness and skin profile parameters are also developed. The analytical solutions are verified through a series of finite element (FE) models set up in ABAQUS software. Finally, a practical design example is given to show the efficiency of the developed analytical method.

Item Type: Article (Commonwealth Reporting Category C) Yes Live Archive Files associated with this item cannot be displayed due to copyright restrictions. Current - Faculty of Health, Engineering and Sciences - School of Civil Engineering and Surveying (1 Jul 2013 -) Current - Faculty of Health, Engineering and Sciences - School of Civil Engineering and Surveying (1 Jul 2013 -) 05 Jul 2016 01:28 05 Jul 2016 01:28 compressive load; unilateral contact buckling; profiled thin skin sheets; infinite plate; Winkler foundation; finite element analysis 09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering B Economic Development > 87 Construction > 8703 Construction Materials Performance and Processes > 870399 Construction Materials Performance and Processes not elsewhere classified https://doi.org/10.1016/j.tws.2016.02.009 http://eprints.usq.edu.au/id/eprint/28990