This book equips the reader to understand every important aspect of the dynamics of rotating machines. Will the vibration be large? What influences machine stability? How can the vibration be reduced? Which sorts of rotor vibration are the worst? The book develops this understanding initially using extremely simple models for each phenomenon, in which (at most) four equations capture the behavior. More detailed models are then developed based on finite element analysis, to enable the accurate simulation of the relevant phenomena for real machines. Analysis software (in MATLAB) is associated with this book, and novices to rotordynamics can expect to make good predictions of critical speeds and rotating mode shapes within days. The book is structured more as a learning guide than as a reference tome and provides readers with more than 100 worked examples and more than 100 problems and solutions.

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Dynamics of rotating machines

Hygrothermal effects on the free vibration of laminated composite plates

This paper investigates buckling, free vibration, and vibration with initial in-plane loads for moderately thick, simply supported symmetric cross-ply rectangular laminates on Pasternak foundations. The total potential energy functional is derived based on the first-order shear deformation plate theory. The differential equations, which govern the vibration and buckling behavior of the plate are then derived from the potential energy functional. Employing the Navier solution procedure, closed-form buckling and vibration solutions have been obtained and are presented in tables and figures. Extensive parametric studies have been carried out to investigate the effects of plate geometry, in-plane load ratio, and foundation parameters on the buckling and vibration behavior of the plate system. Sets of first-known closed-form buckling and vibration results are presented for simply supported symmetric cross-ply laminates on Pasternak foundations. These results may be useful to engineers in engineering practice and to researchers in checking numerical models.

Buckling and Vibration of Thick Laminates on Pasternak Foundations

I.H. Yang

Papers

Computer method for torsion-and-flexure-coupled forced vibration of shafting system with damping

Vibrations of initially stressed thick, rectangular, orthotropic plates

Stability And Vibration Of Initially Stressed Thick Laminated Plates

Vibrational behavior of an initially stressed orthotropic circular Mindlin plate