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Applied Mechanics Commons

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Full-Text Articles in Applied Mechanics

Variational Principles In Classical Mechanics, Douglas Cline Jan 2017

Variational Principles In Classical Mechanics, Douglas Cline

Library Books

Two dramatically different philosophical approaches to classical mechanics were developed during the 17th - 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These powerful variational formulations have become the preeminent philosophical approach used in modern science, as well as having applications to other fields such as economics and engineering.

This book introduces variational principles, and illustrates the intellectual beauty, the remarkable ...


Matrix Structural Analysis, 2nd Edition, William Mcguire, Richard H. Gallagher, Ronald D. Ziemian Jan 2000

Matrix Structural Analysis, 2nd Edition, William Mcguire, Richard H. Gallagher, Ronald D. Ziemian

Faculty Books

The aims of the first edition of Matrix Structural Analysis were to place proper emphasis on the methods of matrix structural analysis used in practice and to lay the groundwork for more advanced subject matter. This extensively revised Second Edition accounts for changes in practice that have taken place in the intervening twenty years. It incorporates advances in the science and art of analysis that are suitable for application now, and will be of increasing importance in the years ahead. It is written to meet the needs of both the present and the coming generation of structural engineers.

KEY FEATURES ...