The very early diverse application of shells of revolution, first in architecture and later in structures serving other purposes, led to the publication of many extensive studies concerned with the theory and methods of solving various problems relating to the mechanics of these structures. The work presented here gives a comprehensive treatise on the development of the linear theory of elastic shells of revolution, based upon analytical methods of investigating their mechanical properties. The volume reviews the fundamentals of the theory of perforated shells, presents the derivation of the Meissner-type equations in a generalized form valid for a large class of shells and extends the application of the method of undetermined coefficients for static and dynamic problems. Each part of the book begins with derivations of the basic equations of shells of arbitrary shape. This enables the reader to familiarize himself to a large extent with the fundamentals of the general linear theory of shells. Each of the three parts of the book and even the chapters can be studied separately.
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The very early diverse application of shells of revolution, first in architecture and later in structures serving other purposes, led to the publication of many extensive studies concerned with the theory and methods of solving various problems relating to the mechanics of these structures. The work presented here gives a comprehensive treatise on the development of the linear theory of elastic shells of revolution, based upon analytical methods of investigating their mechanical properties. The volume reviews the fundamentals of the theory of perforated shells, presents the derivation of the Meissner-type equations in a generalized form valid for a large class of shells and extends the application of the method of undetermined coefficients for static and dynamic problems. Each part of the book begins with derivations of the basic equations of shells of arbitrary shape. This enables the reader to familiarize himself to a large extent with the fundamentals of the general linear theory of shells. Each of the three parts of the book and even the chapters can be studied separately.
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