History of Rotating Machinery Dynamics

Foreword; Preface; Acknowledgements; 1 Beginnings of the Wheel; References; 2 Science before the Medieval Period; References; 3 Water Wheels; References; 4 Wind Mills; References; 5 Renaissance and Scientific Revolution; References; 6 Renaissance Engineers; References; 7 Industrial Revolution; References; 8 Turbomachines; References  9 Fundamentals of Elasticity; References; 10 Energy Methods; 10.1 Euler-Lagrange Equations; 10.2 Lagrange Method; 10.3 Rayleigh's Energy Approach; 10.4 Ritz Method; 10.5 Lagrange Method for Vibration Problems; 10.6 Galerkin Method; 10.7 Hamilton's Principle; 10.8 Complementary Virtual Work; 10.9 Hellinger-Reissner Variational Principle; 10.10 Hu-Washizu Principle; 10.11Different Theories of Torsion of Rods; 10.11.1 Coulomb (1784) Elementary Theory , see Timoshenko and Goodier [42] for Circular Rods; 10.11.2St. Venant (1853) Theory, see Todhunter [43] and Timoshenko and Goodier [42] for Circular Rods; 10.11.3 Love's (1944) Theory; 10.11.4 Timoshenko (1945) - Gere's (1954) Theory; 10.11.5  Reissner (1952) and Lo-Goulard's (1955) Theory; 10.11.6 Barr's (1962) Theory; 10.11.7 Refined Theory by Rao (1974); References; 11 20th Century Graphical and Numerical Methods; 11.1 Stodola-Viannello (Rayleigh's Maximum Energy) Method in Graphical Form; 11.2 Stodola-Viannello Iterative Method in Tabular Form; 11.3 Dunkerley's Method; 11.4 Proof of the Dunkerley Formula by Blaess [1]; 11.5 Hahn's Proof Using Matrix Algebra [3]; 11.6 Holzer Method for Torsional Vibration; 11.7 The Myklestad Method [7,8]; 11.8 Prohl's Method [9]; References; 12 Matrix Methods; 12.1 Torsional Vibration Systems; 12.2 Far-Coupled Systems; 12.3 Gräffe's Method of Successive Approximations; 12.4 Matrix Iteration Method; 12.5 Method of Priebs [10]; 12.6 The Holzer Method (Close Coupled Systems) in Transfer Matrix Form; 12.7 Myklestad-Thomson (1949, 1953) - Prohl Methods in Transfer Matrix Form for Far-Coupled Systems; 12.8 A Brief Note on Computers and Evolution; References; 13