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분포정수계 유압관로 모델의 동특성 해석

Analysis of Dynamic Characteristics of Hydraulic Transmission Lines with Distributed Parameter Model

  • Kim, Do Tae (School of Mechanical and Automotive Engineering, Kyungil University)
  • 투고 : 2018.09.03
  • 심사 : 2018.11.15
  • 발행 : 2018.12.01

초록

The paper deals with an approach to time domain simulation for closed end at the downstream of pipe, hydraulic lines terminating into a tank and series lines with change of cross sectional area. Time domain simulation of a fluid power systems containing hydraulic lines is very complex and difficult if the transfer functions consist of hyperbolic Bessel functions which is the case for the distributed parameter dissipative model. In this paper, the magnitudes and phases of the complex transfer functions of hydraulic lines are calculated, and the MATLAB Toolbox is used to formulate a rational polynomial approximation for these transfer functions in the frequency domain. The approximated transfer functions are accurate over a designated frequency range, and used to analyze the time domain response. This approach is usefully to simulate fluid power systems with hydraulic lines without to approximate the frequency dependent viscous friction.

키워드

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Fig. 1 Schematic of a hydraulic line

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Fig. 2 Closed end at the downstream of pipe

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Fig. 3 Comparison of frequency response of varying line length

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Fig. 4 Comparison of frequency response for H1(s) and $\tilde{H}_1$(s) with 6th order

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Fig. 5 Comparison of frequency response for H1(s) and $\tilde{H}_1$(s) with 8th order

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Fig. 7 Hydraulic line terminating into a capacitance element

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Fig. 6 Comparison of pressure wave forms of varying the line length

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Fig. 8 Comparison of frequency response of varying the volumes of capacitance element

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Fig. 9 Comparison of frequency response for H2(s) and $\tilde{H}_2$(s) 

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Fig. 10 Comparison of pressure wave forms of varying the volumes of capacitance element

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Fig. 11 Series lines with change of cross sectional area

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Fig. 12 Comparison of frequency response of varying the ratio of radius

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Fig. 13 Comparison of pressure wave forms of varying the ratio of the radius

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Fig. 14 Comparison of pressure wave forms of varying the line length for ∊r = 0.5

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Fig. 15 Comparison of pressure wave forms of varying the line length for ∊r = 1.5

참고문헌

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