한국생산제조학회 학술지 영문 홈페이지

Current Issue

Journal of the Korean Society of Manufacturing Technology Engineers - Vol. 33 , No. 2

[ Papers ]
Journal of the Korean Society of Manufacturing Technology Engineers - Vol. 29, No. 1, pp. 22-29
Abbreviation: J. Korean Soc. Manuf. Technol. Eng.
ISSN: 2508-5107 (Online)
Print publication date 15 Feb 2020
Received 21 Jan 2020 Revised 04 Feb 2020 Accepted 07 Feb 2020
DOI: https://doi.org/10.7735/ksmte.2020.29.1.22

공기압 관로의 동적 모델링과 과도응답 특성 해석
김연수a ; 김도태b, *

Dynamic Modeling and Transient Response of Pneumatic Transmission Pipes
Yeon-Su Kima ; Do-Tae Kimb, *
aDepartment of Automobile, Dalseong Campus of Korea Polytechnics
bSchool of Mechanical and Automotive Engineering, Kyungil University
Correspondence to : *Tel.: +82-53-600-5325 E-mail address: dtkim@kiu.ac.kr (Do-Tae Kim).


Abstract

The study deals with dynamic modeling and time domain simulation of pneumatic transmission pipes with a distributed parameter dissipative model that include frequency dependent viscous friction terms and heat transfer effects. The transient responses of pneumatic transmission pipes are considerably complex and difficult because the transcendent transfer functions consist of hyperbolic Bessel functions in the frequency domain. For the blocked pipes at the downstream, the pipes terminating into single valve and capacitance element pairs, transfer functions are derived, and their gain and phases are calculated theoretically. Based on the frequency responses of the theoretical transfer functions, we obtained approximated transfer functions with equal frequency responses using MATLAB. The approximated transfer functions with rational polynomials are accurate over the designated frequency ranges, and are used to analyze the time domain responses. The effects of varying parameters of the blocked pipe on the accuracy of the simulated responses are investigated.


Keywords: Pneumatic transmission pipe, Distributed parameter model, Frequency dependent viscous friction, Frequency response, Transfer function, Transient response

References
1. ISO, 1998, Pneumatic Fluid Power-General Rules Relating to Systems, ISO 4414:1998, Geneva.
2. Brown, F. T., 1962, The Transient Response of Fluid Lines, ASME J. Basic Eng., 84:4 547-553.
3. D’souza, F., Oldenburger, R., 1964, Dynamic Response of Fluid Lines, ASME J. Basic Eng., 86:3 589-598.
4. Goodson, R. E., Leonard, R. G., 1972, A Survey of Modeling Techniques for Fluid Line Transients, ASME J. Basic Eng., 94:2 474-482.
5. Stecki, J. S., Davis, D. C., 1986, Fluid Transmission Lines-distributed parameter models, Part 1 : A review of the state of the art, Proc Instn Mech Engrs (IMechE)., 200:4 215-228.
6. Stecki, J. S., Davis, D. C., 1986, Fluid Transmission Lines-distributed parameter models, Part 2: comparison of models, Proc Instn Mech Engrs(IMechE)., 200:4 229-236.
7. Kim, D. T., 2007, Frequency Response Characteristics of Automotive Hydraulic Pipelines, Trans. KSAE., 15:6 177-182.
8. Oldenburger, R., Goodson, R. E., 1964, Simplification of Hydraulic Line Dynamics by use of Infinite Products, ASME J. Basic Eng., 86:1 1-8.
9. Yang, W. C., Tobler, W. E., 1991, Dissipative Modal Approximation of Fluid Transmission Lines Using Linear Friction Model, ASME J. Dynamic Systems, Measurement, and Control., 113:1 152-162.
10. Rager, D., Neumann, R., Murrenhoff, H., 2015, Simplified Fluid Transmission Line Model for Pneumatic Control Application, Proc. 14th Scandinavian Int. Conf. on Fluid Power, 23-44.
11. Krichel, S. V., Sawodny, O., 2014, Non-linear Friction Modeling and Simulation of Long Pneumatic Transmission Lines, Mathematical and Computer Modelling of Dynamical Systems. 20:1 23-44.
12. Buhs ven der J., Weins, T., 2017, Modelling Dynamic Response of Hydraulic Fluid within Tapered Transmission Lines, Proc. 17th Scandinavian Int. Conf. on Fluid Power, 197-204.
13. Kim, D. T., 2018, Analysis of Dynamic Characteristics of Hydraulic Transmission Lines with Distributed Parameter Model, J. Drive and Control., 15:4 67-73.
14. Na, G. D., Yoo, Y. T., Kim, J. H., 2004, A Characteristic of Impedance Propagation by the Unsteady Flow in A Hydraulic Pipeline, J. of the KSMTE., 13:6 48-55.
15. Mo, Y. W., Yoo, Y. T., Na, G. D., Kim, J. H., 2002, Dynamic Characteristics of Propagation according to Boundary Condition Changes in a Transmission Line, J. of the KSMTE., 11:6 75-82.
16. ISO, 1997, Standard-Atmosphere, ISO 2533:1997, Geneva.
17. Ogata, K., 2004, System Dynamics, Pearson Prentice Hall, New Jersey.

Yeon Su Kim

Professor in the Department of Automobile, Dalseong Campus of Korea Polytechnics.His research interest is pneumatic systems in vehicles.

E-mail: kimys6@kopo.ac.kr

Do Tae Kim

Professor in School of Mechanical and Automotive Engineering, Kyungil University.His research interest is fluid power control and fluid transmission line dynamics.

E-mail: dtkim@kiu.ac.kr