A differential-algebraic contact model with nonlinear compliance

Xiaogang Xiong, Ryo Kikuuwe, Motoji Yamamoto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Modeling of compliant contact is an important issue for simulation and control of mechanical systems. Empirical results in the literature show that, in some mechanical systems such as biological tissues, the relation between the contact force and the indentation is characterized by the following three features: (i) continuity of the force at the time of collision, (ii) Hertz-like nonlinear force-indentation curve, and (iii) non-zero indentation at the time of loss of contact force. The conventional Hunt-Crossley (HC) model does not capture the feature (iii) as the model makes the contact force and indentation reach zero simultaneously. This paper proposes a compliant contact model based on a differential-algebraic equation that satisfies all the three features. The behaviors of the model and the effect of parameters in the model are investigated through numerical simulations.

Original languageEnglish
Title of host publicationASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012
Pages377-383
Number of pages7
DOIs
Publication statusPublished - Dec 1 2012
EventASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012 - Fort Lauderdale, FL, United States
Duration: Oct 17 2012Oct 19 2012

Publication series

NameASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012
Volume2

Other

OtherASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012
CountryUnited States
CityFort Lauderdale, FL
Period10/17/1210/19/12

Fingerprint

Indentation
Differential equations
Compliance
Tissue
Computer simulation

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

Xiong, X., Kikuuwe, R., & Yamamoto, M. (2012). A differential-algebraic contact model with nonlinear compliance. In ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012 (pp. 377-383). (ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012; Vol. 2). https://doi.org/10.1115/DSCC2012-MOVIC2012-8642

A differential-algebraic contact model with nonlinear compliance. / Xiong, Xiaogang; Kikuuwe, Ryo; Yamamoto, Motoji.

ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012. 2012. p. 377-383 (ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012; Vol. 2).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Xiong, X, Kikuuwe, R & Yamamoto, M 2012, A differential-algebraic contact model with nonlinear compliance. in ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012. ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012, vol. 2, pp. 377-383, ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012, Fort Lauderdale, FL, United States, 10/17/12. https://doi.org/10.1115/DSCC2012-MOVIC2012-8642
Xiong X, Kikuuwe R, Yamamoto M. A differential-algebraic contact model with nonlinear compliance. In ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012. 2012. p. 377-383. (ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012). https://doi.org/10.1115/DSCC2012-MOVIC2012-8642
Xiong, Xiaogang ; Kikuuwe, Ryo ; Yamamoto, Motoji. / A differential-algebraic contact model with nonlinear compliance. ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012. 2012. pp. 377-383 (ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012).
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