Finite element analysis of beams and plates on elastic foundation

This book is a compendium of knowledge on the finite element method (FEM) applied to beam and plate structures resting on elastic foundation. Providing a theoretical description of beam and plate elements and elastic foundations, we use the displacement approach to the FEM. Such description serves as a basis for creating software for elastic-plastic analysis of structures resting on elastic foundation. Making use of the FEM, we have created a program written in the Fortran language for solutions to problems of placing structural elements on elastic foundation. A structure can be discretized by means of isoparametric beam finite elements, and isoparametric Lagrangian Mindlin plate finite elements. We describe a foundation with special isoparametric finite elements. The software allows the user to model layered structures of any form, accounting for elastic-plastic material properties, i.e. physical non-linearity, of beam and plate elements resting on non-homogeneous foundation: three-parameter foundation under beam elements, two-parameter under plate elements, accounting for the outside of the beam, foundation layers and unilateral conditions in structure-foundation interaction.

Autorentext

PhD, Eng., specializes in numerical strength calculations with the use of finite element method (FEM) and fatigue analysis by means of fatigue life prediction method (FLP). Scientific interest areas also include modern technologies used in ERP information systems and e-learning.