By John T. Katsikadelis
Boundary point strategy for Plate Analysis deals one of many first systematic and targeted remedies of the appliance of BEM to plate research and layout.
Aiming to fill within the wisdom gaps left through contributed volumes at the subject and bring up the accessibility of the wide magazine literature protecting BEM utilized to plates, writer John T. Katsikadelis attracts seriously on his pioneering paintings within the box to supply an entire advent to thought and application.
Beginning with a bankruptcy of initial mathematical historical past to make the booklet a self-contained source, Katsikadelis strikes directly to conceal the appliance of BEM to simple skinny plate difficulties and extra complicated difficulties. each one bankruptcy comprises a number of examples defined intimately and closes with difficulties to resolve. featuring the BEM as a good computational process for useful plate research and layout, Boundary point technique for Plate Analysis is a priceless reference for researchers, scholars and engineers operating with BEM and plate demanding situations inside mechanical, civil, aerospace and marine engineering.
- One of the 1st assets devoted to boundary point research of plates, supplying a scientific and available introductory to concept and application
- Authored through a number one determine within the box whose pioneering paintings has ended in the advance of BEM as a good computational approach for useful plate research and design
- Includes mathematical historical past, examples and difficulties in a single self-contained resource
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Additional info for The boundary element method for plate analysis
1 INTRODUCTION This chapter presents the direct BEM for the static analysis of thin plates under bending. The problem is formulated in terms of the transverse displacement of the middle surface. The development of the BEM for the plate problem is anal ogous to that for the plane potential problem (see , Chapter 3). There is, how ever, an essential difference. Here, the governing partial differential equation is of the fourth order. Therefore, the derivation of the boundary integral equations is more complicated and their numerical solution requires special care.
Finally, Stern  was the first to give a complete description of the basic integral equations for plates with non-smooth boundaries and evaluate the free term coefficients at corner points. In the previous papers the numerical results were limited as they were used to test the effectiveness of the derived equations. 2 Thin plate theory 23 implementation of the direct BEM and discussed computational problems aris ing from the application of the method to problems of engineering praxis. The direct BEM for static analysis of plates has also been used by many other authors.
93b) eðP Þ ¼ 2 > > : 0 P outside W Apparently, for points P where the boundary is smooth it is a ¼ 1, hence eðP Þ ¼ 1=2. 2 SECOND BOUNDARY INTEGRAL EQUATION The derivation of the second independent boundary integral equation requires more attention. A general method for deriving it systematically for smooth boundaries has been presented by Katsikadelis et al.  who formulated the boundary integral equations for the biharmonic equation. In this method the directional derivative of the deflection Àgiven byÁEq.