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The purpose of this paper is to study the transient response of a string which is influenced by a lumped mass attached to its lower end. We especially focus on phenomena around a resonance point. Lateral oscillation of the string is excited by horizontal displacement at its upper end and the frequency of the excitation is time dependent. It is expected that outof-plane oscillations of the string will occur due to nonlinear terms related to the inertia force of the lumped mass. The oscillations of the string are investigated theoretically and experimentally. First, the resonance curve character is clarified. The resonance curve of the out-of-plane oscillations is different from that of the in-plane ones. Also, we observe an irregularly precessing oscillation at a certain frequency of excitation. Next, we discuss the influence of variable frequency. We conclude that out -of-plane oscillations may occur easily when the frequency of the excitation decreases . The maximum amplitude of those oscillations becomes close to that of the resonance curve of the out-of -plane oscillations , when the frequency of the excitation increases.

Transient Response around a Resonance Point of a String with a Lumped Mass at Its Lower End