Decomposition of in-plane shear in thin-walled members

作者：Adany Sandor^*

来源：Thin-Walled Structures, 2013, 73: 27-38.

DOI：10.1016/j.tws.2013.06.003

• Thin-walled members
• In-plane shear Decomposition

In this paper in-plane (membrane) shear deformations in thin-walled members are discussed. Unlike many earlier works on the effect of shear deformations, the actual work is based on shell model rather than beam model. Thus, the presented work has no intention to develop a new shear-deformable beam theory, by adding some assumed shear deformations to classical beam degrees of freedom, but the actual research considers the thin-walled member as a set of connected flat plates, the displacement field of which is determined by nodal displacements and shape functions. The goal here is to make a full and meaningful modal decomposition within the given displacement field, i.e., to determine sub-fields within the general displacement field so that deformations within the sub-fields would correspond to some desired buckling or deformation modes. The presented work is therefore the direct extension of constraint finite strip method (cFSM), however, this time having a special focus on the shear modes. Though the presented shear modes are initiated by cFSM, and the presentation utilizes the terminology of cFSM, it is to highlight here that the proposed modal decomposition of in-plane shear deformations is not limited to buckling analysis or to the finite strip method. Indeed, the proposed shear space decomposition can be used in any case when the analysed member is thin-walled, built up from flat plates, is modelled by shell-type elements, and the member is prismatic. Since the flexural behaviour of the plates is assumed to follow Kirchhoff thin plate theory, no out-of-plane shear is considered.

• 出版日期2013-12