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A multiple evidence variable (MEV) model that consists of evidence variables with focal elements (FEs) and basic probability assignments (BPAs) is constructed. Based on the evidence theory, an evidence-based kinematic equilibrium equation with the MEV model is equivalently transformed to several interval equations. In the ETIPM, the bounds of the luffing angular vector (LAV) with respect to every joint FE are calculated by integrating the first-order Taylor series expansion and interval algorithm. The bounds of the expectation and variance of the LAV and corresponding BPAs are calculated by using the evidence-based uncertainty quantification (UQ) method. In the ETSPM, the subinterval perturbation method (SIPM) is introduced to decompose original FE into several small subintervals. By comparing results yielded by the ETIPM and ETSPM with those by the evidence theory-based Monte Carlo method (ETMCM), numerical examples show that the accuracy and computational time of the ETSPM are higher than those of the ETIPM, and the accuracy of the ETIPM and ETSPM can be significantly improved with the increase of the number of FEs and subintervals.<\/jats:p>","DOI":"10.1115\/1.4052005","type":"journal-article","created":{"date-parts":[[2021,8,5]],"date-time":"2021-08-05T07:09:17Z","timestamp":1628147357000},"update-policy":"https:\/\/doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":2,"title":["Evidence-Theory-Based Kinematic Uncertainty Analysis of a Dual Crane System With Epistemic Uncertainty"],"prefix":"10.1115","volume":"22","author":[{"given":"Bin","family":"Zhou","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering, Hefei University of Technology, Hefei 230009, China;"},{"name":"Intelligent Interconnected Systems Laboratory of Anhui Province, Hefei University of Technology, Hefei 230009, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bin","family":"Zi","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Hefei University of Technology, Hefei 230009, China;"},{"name":"Intelligent Interconnected Systems Laboratory of Anhui Province, Hefei University of Technology, Hefei 230009, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yishan","family":"Zeng","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Hefei University of Technology, Hefei 230009, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weidong","family":"Zhu","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, MD 21250"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"33","published-online":{"date-parts":[[2021,10,13]]},"reference":[{"issue":"1","key":"2022040715200246000_CIT0001","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1109\/TCST.2014.2314020","article-title":"Inverse Kinematic Control of a Dual Crane System Experiencing Base Motion","volume":"23","author":"Leban","year":"2015","journal-title":"IEEE Trans. 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