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portada computational tensor analysis of shell structures
Type
Physical Book
Publisher
Year
1990
Language
English
Pages
309
Format
Paperback
Dimensions
24.4 x 17.0 x 1.7 cm
Weight
0.52 kg.
ISBN
3540528520
ISBN13
9783540528524

computational tensor analysis of shell structures

Steve Naomis (Author) · Paul C. M. Lau (Author) · Springer · Paperback

computational tensor analysis of shell structures - Naomis, Steve ; Lau, Paul C. M.

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Synopsis "computational tensor analysis of shell structures"

This book presents a method which is capable of evaluating the deformation characteristics of thin shell structures A free vibration analysis is chosen as a convenient means of studying the displacement behaviour of the shell, enabling it to deform naturally without imposing any particular loading conditions. The strain-displacement equations for thin shells of arbitrary geometry are developed. These relationships are expressed in general curvilinear coordinates and are formulated entirely in the framework of tensor calculus. The resulting theory is not restricted to shell structures characterized by any particular geometric form, loading or boundary conditions. The complete displacement and strain equations developed by Flugge are approximated by the curvilinear finite difference method and are applied to computing the natural frequencies and mode shapes of general thin shells. This approach enables both the displacement components and geometric properties of the shell to be approximated numerically and accurately. The selection of an appropriate displacement field to approximate the deformation of the shell within each finite difference mesh is discussed in detail. In addition, comparisons are made between the use of second and third-order finite difference interpolation meshes.

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