Abstract
This paper aims to present that the effect of sampling can result in multi-frequency vibration even in the case of a single-degree-of-freedom linear mechanical model. Even though the sampled-data systems have an infinite number of characteristic exponents due to sampling, the vibrations of these systems can still be characterized by an effective system model with a single dominant frequency. However, as this paper shows, additional harmonics become relevant, resulting in multi-frequency vibrations depending on the magnitude of applied control parameters. The vibrations presented by the time histories of vibration and their spectra resulted in numerical simulation of the sampled-data system.
Highlights
Sampled-data systems play a fundamental role in engineering due to the digital realization of the applied controller
This paper aims to present that the effect of sampling can result in multi-frequency vibration even in the case of a single-degreeof-freedom linear mechanical model
As this paper shows, additional harmonics become relevant, resulting in multi-frequency vibrations depending on the magnitude of applied control parameters
Summary
Sampled-data systems play a fundamental role in engineering due to the digital realization of the applied controller. Even though the sampled-data systems have an infinite number of characteristic exponents due to sampling, the vibrations of these systems can still be characterized by an effective system model with a single dominant frequency.
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