A Theory of Latticed Plates and Shells (Advances in Mathematics for Applied Sciences)

The book presents a theory of latticed shells constructed on the basis of a continual model and describes its applications. It analyzes the problems of statics, stability, dynamics. A special emphasis is laid on the study of linear problems. However, in some instances the geometrical and physical nonlinearity are also considered. The problems of optimum designing in terms of material consumption is given considerable attention. Some of the findings are generalized and extended to the edged and composite systems. In dealing with specific boundary value problems the author applies, among other methods, a new method of decomposition which he has developed and which helps to obtain simple approximated results characterized by high accuracy and used for calculating the elements in a broad class structures.