{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,3,23]],"date-time":"2023-03-23T04:14:14Z","timestamp":1679544854237},"reference-count":20,"publisher":"Polish Academy of Sciences Chancellery","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010,12,1]]},"abstract":"Fractional dynamics in liquid manipulation<\/jats:title>This paper presents a fractional calculus perspective in the study of signals captured during the movement of a mechanical manipulator carrying a liquid container. In order to study the signals an experimental setup is implemented. The system acquires data from the sensors, in real time, and, in a second phase, processes them through an analysis package. The analysis package runs off-line and handles the recorded data. The results show that the Fourier spectrum of several signals presents a fractional behavior. The experimental study provides useful information that can assist in the design of a control system and the trajectory planning to be used in reducing or eliminating the effect of vibrations.<\/jats:p>","DOI":"10.2478\/v10175-010-0055-x","type":"journal-article","created":{"date-parts":[[2011,4,19]],"date-time":"2011-04-19T01:11:59Z","timestamp":1303175519000},"page":"555-560","source":"Crossref","is-referenced-by-count":0,"title":["Fractional dynamics in liquid manipulation"],"prefix":"10.24425","volume":"58","author":[{"given":"M.","family":"Lima","sequence":"first","affiliation":[]},{"given":"J.","family":"Machado","sequence":"additional","affiliation":[]}],"member":"37468","reference":[{"key":"1","article-title":"Using acausal shaping techniques to reduce robot vibration","volume":"1","author":"N. 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