Clearance is unavoidable in many engineering structures due to the manufacturing and installation errors. These clearances can cause intense impact and wear of the contacting pairs, which may change the dynamic response and eventually reduce the movement precision and the service life of the transmission system. Parameters identification of the clearance would provide better understanding of dynamic behaviors of the clearance and contribute significantly for the control of the induced disturbance and deviation. In this paper, based on dynamic characteristics of the clearance nonlinearity, the piecewise fitting method is first proposed to identify the clearance value of the continuum structure. During the proposed method, first, the rough scope of the clearance value extracted from the displacement response is divided into subintervals. And then, the nonlinear force is fitted by the piecewise linear function in the subintervals. Once the equivalent stiffness is obtained, the clearance value can be calculated by the sorting nonlinear force–displacement curve. The feasibility of the piecewise fitting method was verified by a cantilever beam system with clearances in simulation. Besides, some influence factors of this identification method, including the clearance value, exciting force level and measurement noise, are fully discussed to illustrate the robustness of this method. Moreover, an experiment system of a cantilever beam with adjustable clearances was designed to experimentally validate the effectiveness of the proposed method, and the results show that the piecewise fitting method can precisely identify the clearance value of continuous systems.
Skip Nav Destination
Article navigation
July 2016
Research-Article
Theoretical and Experimental Identification of Clearance Nonlinearities for a Continuum Structure
Jie Liu,
Jie Liu
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: jieliu2013@stu.xjtu.edu.cn
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: jieliu2013@stu.xjtu.edu.cn
Search for other works by this author on:
Bing Li
Bing Li
Professor
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: bli@mail.xjtu.edu.cn
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: bli@mail.xjtu.edu.cn
Search for other works by this author on:
Jie Liu
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: jieliu2013@stu.xjtu.edu.cn
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: jieliu2013@stu.xjtu.edu.cn
Bing Li
Professor
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: bli@mail.xjtu.edu.cn
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: bli@mail.xjtu.edu.cn
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received December 20, 2015; final manuscript received February 21, 2016; published online May 12, 2016. Assoc. Editor: Arend L. Schwab.
J. Comput. Nonlinear Dynam. Jul 2016, 11(4): 041019 (18 pages)
Published Online: May 12, 2016
Article history
Received:
December 20, 2015
Revised:
February 21, 2016
Citation
Liu, J., and Li, B. (May 12, 2016). "Theoretical and Experimental Identification of Clearance Nonlinearities for a Continuum Structure." ASME. J. Comput. Nonlinear Dynam. July 2016; 11(4): 041019. https://doi.org/10.1115/1.4033005
Download citation file:
Get Email Alerts
Cited By
An Efficient Iterative Technique for Solving Fractional Diffusion-Wave Equations
J. Comput. Nonlinear Dynam
Nonlinear Model Predictive Control of Urban Air Mobility Aircraft with Gust Disturbance
J. Comput. Nonlinear Dynam
Related Articles
Numerical and Experimental Study of Clearance Nonlinearities Based on Nonlinear Response Reconstruction
J. Comput. Nonlinear Dynam (February,2018)
Identification of a Subsystem Located in The Complex Dynamical Systems Subjected to Random Loads
J. Comput. Nonlinear Dynam (January,2017)
Taking the Guess Work Out of the Initial Guess: A Solution Interval Method for Least-Squares Parameter Estimation in Nonlinear Models
J. Comput. Inf. Sci. Eng (April,2021)
Experiment-Based Motion Reconstruction and Restitution Coefficient Estimation of a Vibro-Impact System
J. Vib. Acoust (April,2019)
Related Proceedings Papers
Related Chapters
Conjugate Priors with Zero Occurrences: Analyst Beware! (PSAM-0435)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)
Parameter Estimation of the Duffing Oscillator Using Poincaré Map and an Elitist Genetic Algorithm
Intelligent Engineering Systems through Artificial Neural Networks, Volume 20
K-Models Clustering, a Generalization of K-Means Clustering
Intelligent Engineering Systems through Artificial Neural Networks, Volume 20