tailieunhanh - Stability of cylindrical panel with variable thickness

A linear buckling analysis based on the small deflection theory is presented for the cylindrical panel with sinusoidal changes in the shell thickness. The buckling load for simply supported cylindrical panel around the periphery is defined by using the hybrid perturbation - Galerkin method. The influence of the thickness variation parameter on the critical loads is investigated. | Vietnam Journal of Mechanics, VAST, Vol. 28, No. 1 (2006), pp. 56 - 65 STABILITY OF CYLINDRICAL PANEL WITH VARIABLE THICKNESS NGUYEN THI HIEN LUONG AND THACH SOM So HOACH Department of Civil Engineering, Ho Chi Minh University of Technology Abstract. A linear buckling analysis based on the small deflection theory is presented for the cylindrical panel with sinusoidal changes in the shell thickness. The buckling load for simply supported cylindrical panel around the periphery is defined by using the hybrid perturbation - Galerkin method. The influence of the thickness variation parameter on the critical loads is investigated. 1. INTRODUCTION In recent years, the study on stability of thin structural components with variable thickness has attracted attention to many researchers [1-6]. Elishakoff et al [2] studied the effect of axisymmetric imperfections in the shape of the axisymmetric buckling mode on the buckling of cylindrical shells. Ye Zhiming [3] introduced the nonlinear analysis and optimization of shallow shell of variable thickness. Yeh et al [4] treated chaotic and bifurcation dynamics for a simply supported rectangular plate of thermo-mechanical coupling in large deflection. Mateus et al [5] studied post-buckling behavior of corroded steel plates. Nguyen and Tran [6] investigated the stability of thin rectangular plates with variable thickness on a basis of the theory of thin plates of small deflections. The major objective of this paper is to investigate in detail the buckling of cylindrical panel of variable thickness, based on the small deflection theory and shallow shells theory. The Hybrid Pertubation-Galerkin method is in use to determine the critical load factor of cylindrical panel with variable thickness. The influence of the thickness non-uniformity parameter to the buckling load is investigated. General asymptotic formulae for the buckling load are derived and numerical results are investigated for compressive simply supported panels. 2. .