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Membrane-flexural coupling effect in dynamic buckling of laminated columns

100%

Mania R. J.

tom Vol. 14, nr 1

137-150

The purpose of this paper is the analysis of dynamic stability of thin-walled laminated columns of closed rectangular cross-section, subjected to in-plane pulse loading of finite duration. In the analysis with the FE Method the Lagrange strain tensor is assumed and various material characteristics are applied. In the solution the shear influence is considered according to the First Shear Deformation Theory displacement field. In the performed analysis the influence of walls initial imperfections, pulse shape and pulse duration on the dynamic buckling load are examined as well as the stacking sequence of laminated walls, the orientation of principal directions of separate layers and orthotropy ratio. The applications of some dynamic criteria are compared as well.

Some aspects of dynamic coupled response of functionally graded thin-walled columns with square cross-sections under in-plane pulse compression

86%

Kołakowski Z. , Teter A.

Journal of Theoretical and Applied Mechanics

2016

tom Vol. 54 nr 2

449--462

The present paper deals with a dynamic coupled response of functionally graded columns with a quadratic cross-section subjected to an in-plane pulse loading. An Al-TiC metal- -ceramic material is applied. It is assumed that functionally graded materials (FGMs) are subject to Hooke’s law. The thin-walled structures are simply supported at the ends. This study is devoted to the stability problem of rectangular dynamic pulse load. The effects of temperature, wave propagation and damping are neglected. In order to obtain the equations of motion of individual plates, the classic laminate plate theory (CLPT) has been modified in such a way that it additionally accounts for all components of inertial forces. A plate model is adopted for the structures. The problem of an interaction of the global mode with the local ones is concerned (i.e., a three-modes approach). Attention has been focused on some unexpected aspects related to dynamic interactive buckling of columns having two axes of the cross-section symmetry. In the present study, a new approach to the description of this phenomenon, based on Koiter’s theory, has been applied.