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Structural Health Monitoring with Piezoelectric Wafer Active Sensors, 2nd Edition by Victor Giurgiutiu

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Chapter 3

Vibration Fundamentals

This chapter offers a brief introduction to vibration theory, which is necessary because many of the SHM methods to be discussed in later chapters will utilize vibration concepts and formulae. The chapter starts with the single degree of freedom (1-dof) vibration of a mass-spring-damper. The 1-dof vibration will be used to introduce fundamental basic concepts such as the differential equation of motion, harmonic solutions, free vs. forced vibrations, and damped vs. undamped vibrations. The energy methods approach to vibration analysis will also be discussed. The second part of the chapter covers the vibration of continuous systems governed by partial differential equations (PDE) in space and time. Assuming ...

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