ENGINEERING PRINICPLES OF MECHANICAL VIBRATION is a textbook that is designed for use in senior level undergraduate and introductory and intermediate level graduate courses in mechanical vibration. The textbook assumes that students have a fundamental understanding of rigid body dynamics and ordinary differential equations. Engineering Principles of Mechanical Vibration is an applications oriented vibration textbook that contains complete developments of the equations associated with the many vibration principles discussed in the textbook. The textbook presents complete developments of solution techniques for ordinary and partial differential equations associated with lumped-parameter single-degree-of-freedom and multi-degree-of-freedom vibration systems and basic continuous vibration systems. It discusses principles associated with periodic, complex periodic, non-periodic, transient, and random vibration excitation and presents information related to vibration measurements and digital processing of vibration signals.