Abstract
Starting with Newton's Laws of motion introduced in Chapter 1, this chapter thoroughly covers the derivation and solution of the equations of motion of single-degree-of-freedom systems, undamped and damped; the derivations and solutions are for systems with viscous and Coulomb damping. This chapter covers vibration due to initial conditions, forced-harmonic excitation, and base motion. Solutions are obtained for the sudden cessation of harmonic excitation, as might occur during tests when response levels hit redlines. Beating during the startup transient portion of response to harmonic excitation as well as linear and octave frequency sweep effects are discussed in detail. The solutions are derived and cast in a form that is directly applicable to both time domain and frequency domain analysis, and to the experimental determination of dynamic properties of complex systems discussed in subsequent chapters. This chapter concludes with references and solved problems that reinforce the material discussed in this chapter.
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