Affiliations: [a] School of Management and Engineering, Capital University of Economics and Business, Beijing, China
| [b] Department of Mathematical Sciences, Tsinghua University, Beijing, China
Correspondence:
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Corresponding author. Wei Chen, School of Management and Engineering, Capital University of Economics and Business, Beijing, China. Tel./Fax: +86 10 83952603. E-mail: [email protected].
Abstract: Uncertain spring vibration equations modell the vibration of a spring subjected to a time varying external force driven by the Liu process. In this paper, we investigate uncertainty distributions of the extreme values, first hitting time, and time integral of solutions to uncertain spring vibration equations. Moreover, a numerical algorithm is designed to obtain the extreme values, and numerical examples are presented to illustrate the effectiveness of the proposed algorithm.
Keywords: Uncertain differential equation, spring vibration equation, extreme value, first hitting time, time integral
