Geometric nonlinear analysis of stiffened plates by the spline finite strip method

✍ Scribed by A.H. Sheikh; M. Mukhopadhyay

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 523 KB
• Volume: 76
• Category: Article
• ISSN: 0045-7949
• DOI: 10.1016/s0045-7949(99)00191-1

✦ Synopsis

Geometric nonlinear analysis of stiened plates is investigated by the spline ®nite strip method. von Karman's nonlinear plate theory is adopted and the formulation is made in total Lagrangian coordinate system. The resulting nonlinear equations are solved by the Newton±Raphson iteration technique. To analyse plates having any arbitrary shapes, the whole plate is mapped into a square domain. The mapped domain is discretised into a number of strips. In this method, the displacement interpolation functions used are: the spline functions in the longitudinal direction of the strip and the ®nite element shape functions in the other direction. The stiener is elegantly modelled so that it can be placed anywhere within the plate strip. The arbitrary orientation of the stiener and its eccentricity are incorporated in the formulation. All these aspects have ultimately made the proposed approach a most versatile tool of analysis. Plates and stiened plates are analysed and the results are presented along with those of other investigators for necessary comparison and discussion.