Speaking briefly, this book is addressed to the engineers rather than the mathematicians; however, to the engineers who have a taste for mathematical formulations and methods of engineering analysis based thereupon, even thought the methods are not presented in their pure mathematical form. Speaking about the potential reader, the author already mentioned the engineers and researchers (first of all) and wishes to add senior students of engineering who intend to make their career in close connection with engineering analysis. Postgraduates of specialities related to mechanical strength are welcome, too. I do hope the professors of the same specialities will able to find the book useful in some way for their lectures or topical seminars. The discussion of the book’s contents by chapters is omitted; a look at the table of contents is enough to have a clear idea of the subject. Also, the reader should notice that the book pays equal attention to general formulations of variational problems and to the variational treatment of particular classes of mechanical problems. Therefore the book can be both (1) a guide to deeper study of variational principles and methods in mechanics of solids and structures and (2) a practical manual for the engineer. The variational principles of structural mechanics can be presented in a variety of ways. One of the approaches suggests that particular variations of the basic principles can be derived one from another by formal mathematical transformations such as Legendre transform, Friedrichs transform, Lagrange transform. This approach is used systematically in [8], for example. But the same variational principles can be derived independently, too, so that the connections between the respective functionals are established later, maybe using the same mathematical transforms. For methodical reasons, one of which is the orientation of the book at the reader educated in engineering, the book uses the second approach.
Rapid links
Uploading links
No comments:
Post a Comment