Engineering Principles 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. It 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 equations associated with the many vibration principles discussed in the textbook. The textbook presents complete developments of solution techniques for differential equations associated with lumped-parameter single- and multi-degree-of-freedom and basic continuous vibration systems. It discusses principles associated with periodic, complex periodic, nonperiodic, transient, and random vibration excitation and presents information related to vibration measurements, digital processing of vibration signals, and analytical and experimental modal analyses.