This is a book on the technology of analyzing process machinery malfunctions. It begins with fundamental concepts of mechancial motion, and expands the basic models into acceptable simulations of real machines. Relationships between the actual machinery, the analytical model, and the vibration characteristics are examined. Specifically, steam and gas turbines, gear boxes, centrifugal and reciprocating compressors, plus motors and generators are analyzed from different perspectives. It is extensively illustrated, and it contains detailed examples with sample calculations. The book also includes 45 case histories that cover the entire scenario from problem definition, through investigation, plus the final corrective solutions.