A Variational Approach to Structural Analysis by David V. Wallerstein

By David V. Wallerstein

An insightful exam of the numerical equipment used to strengthen finite aspect methods
A Variational method of Structural research presents readers with the underpinnings of the finite point strategy (FEM) whereas highlighting the facility and pitfalls of digital tools. In an easy-to-follow, logical structure, this ebook provides entire assurance of the primary of digital paintings, complementary digital paintings and effort tools, and static and dynamic balance concepts.
the 1st chapters arrange the reader with initial fabric, introducing intimately the variational method utilized in the ebook in addition to reviewing the equilibrium and compatibility equations of mechanics. the following bankruptcy, on digital paintings, teaches the best way to use kinematical formulations for the decision of the mandatory pressure relationships for instantly, curved, and skinny walled beams. The chapters on complementary digital paintings and effort tools are problem-solving chapters that include Castigliano's first theorem, the Engesser-Crotti theorem, and the Galerkin procedure. within the ultimate bankruptcy, the reader is brought to numerous geometric measures of pressure and revisits immediately, curved, and skinny walled beams by way of interpreting them in a deformed geometry.
in keeping with approximately twenty years of labor at the improvement of the world's so much used FEM code, A Variational method of Structural research has been designed as a self-contained, single-source reference for mechanical, aerospace, and civil engineering pros. The book's ordinary sort additionally presents obtainable guide for graduate scholars in aeronautical, civil, mechanical, and engineering mechanics courses.

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