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Asymptotic Methods In The Theory Of Plates With Mixed Boundary Conditions (Hardcover)
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Asymptotic Methods In The Theory Of Plates With Mixed Boundary Conditions (Hardcover)
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Asymptotic Methods in the Theory of Plates with Mixed Boundary
Conditions comprehensively covers the theoretical background of
asymptotic approaches and their use in solving mechanical
engineering-oriented problems of structural members, primarily
plates (statics and dynamics) with mixed boundary conditions. The
first part of this book introduces the theory and application of
asymptotic methods and includes a series of approaches that have
been omitted or not rigorously treated in the existing literature.
These lesser known approaches include the method of summation and
construction of the asymptotically equivalent functions, methods of
small and large delta, and the homotopy perturbations method. The
second part of the book contains original results devoted to the
solution of the mixed problems of the theory of plates, including
statics, dynamics and stability of the studied objects. In
addition, the applicability of the approaches presented to other
related linear or nonlinear problems is addressed. Key features:
Includes analytical solving of mixed boundary value problems
Introduces modern asymptotic and summation procedures Presents
asymptotic approaches for nonlinear dynamics of rods, beams and
plates Covers statics, dynamics and stability of plates with mixed
boundary conditions Explains links between the Adomian and homotopy
perturbation approaches Asymptotic Methods in the Theory of Plates
with Mixed Boundary Conditions is a comprehensive reference for
researchers and practitioners working in the field of Mechanics of
Solids and Mechanical Engineering, and is also a valuable resource
for graduate and postgraduate students from Civil and Mechanical
Engineering.
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