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Research Papers: Gas Turbines: Combustion, Fuels, and Emissions

A New Numerical Method for Developing the Lumped Dynamic Model of Valve Train

[+] Author and Article Information
Jie Guo

College of Power and Energy Engineering,
Harbin Engineering University,
Harbin 150001, China
e-mail: guojie@hrbeu.edu.cn

Yipeng Cao

College of Power and Energy Engineering,
Harbin Engineering University,
Harbin 150001, China
e-mail: yipengcao@hrbeu.edu.cn

Wenping Zhang

College of Power and Energy Engineering,
Harbin Engineering University,
Harbin 150001, China
e-mail: zhangwenping@hrbeu.edu.cn

Xinyu Zhang

College of Power and Energy Engineering,
Harbin Engineering University,
Harbin 150001, China
e-mail: zhangxinyu@hrbeu.edu.cn

Contributed by the Combustion and Fuels Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received February 28, 2015; final manuscript received March 1, 2015; published online April 8, 2015. Editor: David Wisler.

J. Eng. Gas Turbines Power 137(10), 101507 (Oct 01, 2015) (10 pages) Paper No: GTP-15-1065; doi: 10.1115/1.4030093 History: Received February 28, 2015; Revised March 01, 2015; Online April 08, 2015

The dynamics of valve train is influenced by stiffness, size, and mass distribution of its components and initial valve clearance and so on. All the factors should be taken into consideration correctly by dynamic model and described qualitatively and quantitatively through mathematical variables. This paper proposes a new simplified method for valve train components, namely, mode matching method (MMM) for camshaft, pushrod, rocker arm, valve, and valve spring. In this method, the amount of lumped masses for each flexible component is determined based on its natural frequencies and the considered frequency range. As a result, the dynamic model of each component is required to match its low order modes within the considered frequency range. The basis of this method is that the contributions of each component to valve train vibration are mainly in the low order modes. The numerical model of valve train is verified by an experiment conducted on a motor driven valve train system.

Copyright © 2015 by ASME
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References

Barkan, P., 1953, “Calculation of High-Speed Valve Motion With a Flexible Overhead Linkage,” SAE Technical Paper No. 530261. [CrossRef]
Dresner, T. L., and Barkan, P., 1995, “New Methods for the Dynamic Analysis of Flexible Single-Input and Multi-Input Cam-Follower Systems,” ASME J. Mech. Des., 117(1), pp. 150–155. [CrossRef]
Seidlitz, S., 1989, “Valve Train Dynamics—A Computer Study,” SAE Paper No. 890620. [CrossRef]
Frendo, F., Vitale, E., Carmignani, L., Gagliardi, D., and Matteucci, L., 2004, “Development of a Lumped-Parameter Model for the Dynamic Analysis of Valve Train Systems,” SAE Paper No. 2004-32-0051. [CrossRef]
Kim, D., and David, J. W., 1990, “A Combined Model for High Speed Valve Train Dynamics,” SAE Paper No. 901726. [CrossRef]
Pisano, A. P., and Freudenstein, F., 1983, “An Experimental and Analytical Investigation of the Dynamic Response of a High-Speed Cam-Follower System, Part 2: A Combined, Lumped/Distributed Parameter Dynamic Model,” ASME J. Mech. Des., 105(4), pp. 699–704. [CrossRef]
Lee, J., and Patterson, D. J., 1997, “Nonlinear Valve Train Dynamics Simulation With a Distributed Parameter Model of Valve Springs,” ASME J. Eng. Gas Turbines Power, 119(7), pp. 692–698. [CrossRef]
Guo, J., Zhang, W. P., and Zou, D. Q., 2011, “Investigation of Dynamic Characteristics of a Valve Train System,” Mech. Mach. Theory, 46(12), pp. 1950–1969. [CrossRef]
Özgür, K., and Pasin, F., 1996, “Separation Phenomena in Force Closed Cam Mechanisms,” Mech. Mach. Theory, 31(4), pp. 487–499. [CrossRef]
Guo, J., Zhang, W. P., and Zou, D. Q., 2012, “Development and Validation of a Rigid-Flexible Coupled Dynamic Valve-Train Model,” Proc. Inst. Mech. Eng., Part D, 226, pp. 94–111. [CrossRef]
Teodorescu, M., Kushwaha, M., Rahnejat, H., and Taraza, D., 2005, “Elastodynamic Transient Analysis of a Four-Cylinder Valve Train System With Camshaft Flexibility,” Proc. Inst. Mech. Eng., Part K, 219(1), pp. 13–25. [CrossRef]
Iritani, T., Shozaki, A., Sheng, B., Sugimoto, M., Okazaki, T., and Aketa, M., 2002, “Prediction of the Dynamic Characteristics in Valve Train Design of a Diesel Engine,” SAE Paper No. 2002-32-1839. [CrossRef]
Teodorescu, M., Taraza, D., and Naeim, A. H., 2003, “Simplified Elasto-Hydrodynamic Friction Model of the Cam-Tappet Contact,” SAE Paper No. 2003-01-0985. [CrossRef]
Yang, L. S., Akemi, I., and Hideo, N., 1996, “A Valve Train Friction and Lubrication Analysis Model and Its Application in a Cam/Tappet Wear Study,” SAE Paper No. 962030. [CrossRef] [CrossRef]

Figures

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Fig. 1

Schematic of valve train

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Fig. 2

Torsional and bending vibration model of camshaft

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Fig. 3

Dynamic model of pushrod

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Fig. 4

Dynamic model of rocker arm

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Fig. 5

Dynamic model of valve, retainer, and clips

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Fig. 6

Dynamic model of valve springs

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Fig. 7

Solution of rocker arm stiffness

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Fig. 8

Contact model between pushrod and valve adjuster

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Fig. 9

Schematic of cam and tappet interface

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Fig. 10

Dynamic model of valve train system

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Fig. 11

Instrumentation of pushrod

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Fig. 12

Instrumentation of valve

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Fig. 13

Analysis of valve acceleration (1100 rpm)

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Fig. 14

Fourier spectrum of cam acceleration (1100 rpm)

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Fig. 15

Valve acceleration (1100 rpm)

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Fig. 16

Pushrod force (1100 r/min)

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Fig. 17

Valve stem force (1100 rpm)

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