Transcription of Ralph E. Blake - Cooper Union
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Ralph E. Blake - Cooper Union
CHAPTER 2 BASIC vibration THEORYR alph 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 SYSTEMSV ibratory systems comprise means for storing potential energy (spring), means forstoring kinetic energy (mass or inertia), and means by which the energy is graduallylost (damper).
steady vibration is to be maintained.Although a single physical structure may store both kinetic and potential energy, and may dissipate energy, this chapter considers only lumped parameter systems composed of ideal springs, masses, and dampers
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