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Mathematics 2019, 7(3), 246;

A Theoretical Rigid Body Model of Vibrating Screen for Spring Failure Diagnosis

Department of Mechanical Engineering, State Key Laboratory of Tribology, Tsinghua University, Beijing 100084, China
School of Mechanical Electronic & Information Engineering, China University of Mining & Technology-Beijing, Beijing 10083, China
Mechanical & Electrical Engineering School, Beijing Information Science & Technology University, Beijing 100192, China
Authors to whom correspondence should be addressed.
Received: 7 January 2019 / Revised: 4 March 2019 / Accepted: 5 March 2019 / Published: 9 March 2019
(This article belongs to the Special Issue Mathematics and Engineering)
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Springs are critical components in mining vibrating screen elastic supports. However, long-term alternating loads are likely to lead to spring failures, likely resulting in structural damages to the vibrating screen and resulting in a lower separation efficiency. Proper dynamic models provide a basis for spring failure diagnosis. In this paper, a six-degree-of-freedom theoretical rigid body model of a mining vibrating screen is proposed, and a dynamic equation is established in order to explore the dynamic characteristics. Numerical simulations, based on the Newmark-β algorithm, are carried out, and the results indicate that the model proposed is suitable for revealing the dynamic characteristics of the mining vibrating screen. Meanwhile, the mining vibrating screen amplitudes change with the spring failures. Therefore, six types of spring failure are selected for simulations, and the results indicate that the spring failures lead to an amplitude change for the four elastic support points in the x, y, and z directions, where the changes depend on certain spring failures. Hence, the key to spring failure diagnosis lies in obtaining the amplitude change rules, which can reveal particular spring failures. The conclusions provide a theoretical basis for further study and experiments in spring failure diagnosis for a mining vibrating screen. View Full-Text
Keywords: mining vibrating screen; theoretical rigid body model; spring failures diagnosis; amplitudes change mining vibrating screen; theoretical rigid body model; spring failures diagnosis; amplitudes change

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Liu, Y.; Suo, S.; Meng, G.; Shang, D.; Bai, L.; Shi, J. A Theoretical Rigid Body Model of Vibrating Screen for Spring Failure Diagnosis. Mathematics 2019, 7, 246.

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