BOOK REVIEWS book. Chap. 6 on "Lateral Buckling of Beams" has been thoroughly revised. Chap. 7 on "Buckling of Rings, Curved Bars, and Arches" differs only slightly from Chap. 4 of the first edition. Chaps. 8 and 10, treating the bending of thin plates and shells, are essentially the same as the old Chaps. 6 and 8. In Chap. 9 on "Buckling of Thin Plates" more cases are discussed than in the first edition, and Chap. 11 on "Buckling of Shells" has been similarly expanded. Throughout the book, references to recent literature have been added.

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An analysis of the self-excited oscillations, known as “oil whip,” of a rotor supported in fluid film bearings is presented. The source of the instability is the hydrodynamic forces of the bearing fluid film. The equations of motion are nonlinear, and they are studied to determine the limit cycles of the system, also called the whirl orbits. The nonlinear equations are solved by the method of averaging whereby the whirl orbits are obtained directly. The results are dimensionless and are given in graphical form. They show under which conditions whirl orbits can exist, and the position and the size of the orbits are also given. It is found that the orbits are only encountered in a relatively narrow speed interval around the speed at which the static equilibrium becomes unstable.

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