Mechanics of Structural Elements: Theory and Applications

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Springer Science & Business Media, Dec 18, 2006 - Technology & Engineering - 787 pages
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The presentment should be as simple as possible, but not a bit simpler. Albert Einstein Introduction The power of the variational approach in mechanics of solids and structures follows from its versatility: the approach is used both as a universal tool for describing physical relationships and as a basis for qualitative methods of analysis [1]. And there is yet another important advantage inherent in the variational approach – the latter is a crystal clear, pure and unsophisticated source of ideas that help build and establish numerical techniques for mechanics. This circumstance was realized thoroughly and became especially important after the advanced numerical techniques of structural mechanics, first of all the finite element method, had become a helpful tool of the modern engineer. Certainly, it took some time after pioneering works by Turner, Clough and Melos until the finite element method was understood as a numerical technique for solving mathematical physics problems; nowadays no one would attempt to question an eminent role played by the variational approach in the process of this understanding. It is a combination of intuitive engineer thinking and a thoroughly developed mathematical theory of variational calculus which gave the finite element method an impulse so strong that its influence can still be felt. It would be too rash to say that there are few publications or books on the subject matter discussed in this book.
 

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Contents

BASIC VARIATIONAL PRINCIPLES OF STATIC
1
References
27
ADDITIONAL VARIATIONAL PRINCIPLES
98
References
132
PARTICULAR CLASSES OF PROBLEMS IN STRUCTURAL
221
PARTICULAR CLASSES OF PROBLEMS IN STRUCTURAL
312
PARTICULAR CLASSES OF PROBLEMS IN STRUCTURAL
395
References
456
compound profile
482
References
494
VARIATIONAL PRINCIPLES IN SPECTRAL PROBLEMS
539
VARIATIONAL PRINCIPLES IN STABILITYBUCKLING
605
CONCLUSION 701
700
Curvilinear coordinates on a plane associated with
755
Crosssections of a combined profile
776
SUBJECT INDEX
783

PARTICULAR CLASSES OF PROBLEMS IN STRUCTURAL
458

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