Ralph E. Blake

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CHAPTER 2BASIC VIBRATION THEORYRalph E. BlakeINTRODUCTIONThis chapter presents the theory of free and forced steady-state vibration of singledegree-of-freedom systems. Undamped systems and systems having viscous damp-ing and structural damping are included. Multiple degree-of-freedom systems arediscussed, including the normal-mode theory of linear elastic structures andLagrange s PARTS OF VIBRATORY SYSTEMSVibratory systems comprise means for storing potential energy (spring), means forstoring kinetic energy (mass or inertia), and means by which the energy is graduallylost (damper). The vibration of a system involves the alternating transfer of energybetween its potential and kinetic forms.

Ralph E. Blake INTRODUCTION This chapter presents the theory of free and forced steady-state vibration of single degree-of-freedom systems. Undamped systems and systems having viscous damp-ing and structural damping are included. Multiple degree-of-freedom systems are discussed, including the normal-mode theory of linear elastic structures and

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