Vibration and Noise Characteristics of Elliptical Gears due to Non-Uniform Rotation

Elliptical gear is a typical non-circular gear, which transmits a variable-ratio rotation and power simultaneously. Due to the non-uniform rotation, the vibration and noise of elliptical gears demonstrate particular characteristics which should be paid attention to in practical application. In this...

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Published inJournal of Advanced Mechanical Design, Systems, and Manufacturing Vol. 6; no. 4; pp. 498 - 512
Main Authors LIU, Xing, NAGAMURA, Kazuteru, IKEJO, Kiyotaka
Format Journal Article
LanguageEnglish
Published The Japan Society of Mechanical Engineers 01.01.2012
Subjects
Acceleration
Elliptical Gear
Fourier transforms
Frequency Analysis
Gear
Gears
Noise
Non Uniform Rotation
Running
Spectra
Tooth Impact
Tooth Separation
Torque
Vibration
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Abstract Elliptical gear is a typical non-circular gear, which transmits a variable-ratio rotation and power simultaneously. Due to the non-uniform rotation, the vibration and noise of elliptical gears demonstrate particular characteristics which should be paid attention to in practical application. In this paper, two elliptical gears, which are a single elliptical gear and a double elliptical gear, have been investigated to analyze the vibration and noise characteristics of elliptical gears. The corresponding circular gears for comparison are also investigated. General factors including the torque, the rotation speed, the gear vibration acceleration and the gear noise of the four test gears are measured by running test. The root mean square of the Circumferential Vibration Acceleration (CVA) and the sound pressure level of the noise of elliptical gears are obtained from the measured results and compared with those of circular gears to clarify the vibration and noise characteristics of elliptical gears. Furthermore, the frequency analysis of the CVA of elliptical gears is conducted by Fast Fourier Transform Algorithm (FFT) and compared with that of circular gears. The main vibration component of elliptical gear is uncovered according to the obtained frequency spectra. In addition, the Critical Rotation Speeds of Tooth Separation (CRSTS) of elliptical gear is obtained and its relation with load torque is unveiled.
AbstractList Elliptical gear is a typical non-circular gear, which transmits a variable-ratio rotation and power simultaneously. Due to the non-uniform rotation, the vibration and noise of elliptical gears demonstrate particular characteristics which should be paid attention to in practical application. In this paper, two elliptical gears, which are a single elliptical gear and a double elliptical gear, have been investigated to analyze the vibration and noise characteristics of elliptical gears. The corresponding circular gears for comparison are also investigated. General factors including the torque, the rotation speed, the gear vibration acceleration and the gear noise of the four test gears are measured by running test. The root mean square of the Circumferential Vibration Acceleration (CVA) and the sound pressure level of the noise of elliptical gears are obtained from the measured results and compared with those of circular gears to clarify the vibration and noise characteristics of elliptical gears. Furthermore, the frequency analysis of the CVA of elliptical gears is conducted by Fast Fourier Transform Algorithm (FFT) and compared with that of circular gears. The main vibration component of elliptical gear is uncovered according to the obtained frequency spectra. In addition, the Critical Rotation Speeds of Tooth Separation (CRSTS) of elliptical gear is obtained and its relation with load torque is unveiled.
Author LIU, Xing
IKEJO, Kiyotaka
NAGAMURA, Kazuteru
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References (16) T. Emura, A. Arakawa, a New Steering Mechanism Using Noncircular Gears, JSME Int. J. Ser. II, Vol. 35, No. 4 (1992), pp. 604-610.
(3) H. Katori, K. Yokogawa, T. Hayashi, a Simplified Synthetic Design Method of Pitch Curves Based on Motion Specifications for Noncircular Gears, Trans. Jpn. Soc. Mech. Eng., Vol. 60, No. 570 (1994), pp. 668-674 (in Japanese).
(10) C.F. Chen, C.B. Tsay, Computerized Tooth Profile Generation and Analysis of Characteristics of Elliptical Gears with Circular-Arc Teeth, J. Mater. Process. Tech., Vol. 148, No. 2 (2004), pp. 226-234.
(6) S.L. Chang, C.B. Tsay, L.I. Wu, Mathematical Model and Undercutting Analysis of Elliptical Gears Generated by Rack Cutters, Mech. Mach. Theory, Vol. 31, No. 7 (1996), pp. 879-890.
(4) G. Figliolini, J. Angeles, the Synthesis of Elliptical Gears Generated by Shaper-Cutter, ASME J. Mech. Des., Vol. 125, No.4 (2003), pp. 793-801.
(1) Anonymous, Elliptical Gears Are Back and More Versatile Than Ever, Prod. Eng., Vol. 43, (August 1972), pp. 34-38.
(11) B.W. Bair, C.F. Chen, S.F. Chen, C.Y. Chou, Mathematical Model and Characteristic Analysis of Elliptical Gears Manufactured by Circular-arc Shaper Cutters, ASME, J. Mech. Des., Vol. 129, No. 2 (2007), pp. 210-217.
(17) H. Katori, the Design, Manufacture and Application of Non-circular Gears, Tokyo, Nikkan Industrial Press, (2001), Chap.7, pp.141-156 (in Japanese).
(14) F. Freudenstein, C.K. Chen, Variable-Ratio Chain Drives with Noncircular Sprockets and Minimum Slack-Theory and Application, ASME J. Mech. Des., Vol. 113, No. 3 (1991), pp. 253-262.
(12) F.L. Litvin, I. Gonzalez-Perez, K. Yukishima, A. Fuentes, K. Hayasaka, Generation of Planar and Helical Elliptical Gears by Application of Rack-Cutter, Hob and Shaper, Comput. Methods Appl. Mech. Engrg., Vol. 196, No. 41-44 (2007), pp. 4321-4336.
(2) A. Arakawa, T. Emura, Contact Ratio of Noncircular Gears, Trans. Jpn. Soc. Mech. Eng., Vol. 61, No. 585 (1995), pp. 2093-2099 (in Japanese).
(5) G. Figliolini, J. Angeles, Synthesis of the Base Curves for N-Lobed Elliptical Gears, ASME J. Mech. Des., Vol. 127, No. 5 (2005), pp. 997-1005.
(8) B.W. Bair, Computerized Tooth Profile Generation of Elliptical Gears Manufactured by Shaper Cutters, J. Mater. Process. Tech., Vol. 122, No. 2-3 (2002), pp. 139-147.
(15) J-Y Liu, S-L Chang, D Mundo, Study on the Use of a Non-Circular Gear Train for the Generation of Figure-8 Patterns, Proc. Instn. Mech. Egnrs., Part C: J Mechanical Engineering Science, Vol. 220, No. 8 (2006), pp. 1229-1236.
(7) B.W. Bair, Computer Aided Design of Non-Standard Elliptical Gear Drives, Proc. Instn. Mech. Egnrs., Part C: J Mechanical Engineering Science, Vol. 216, No.4 (2001), pp. 473-483.
(9) B.W. Bair, Computer Aided Design of Elliptical Gears with Circular-Arc Teeth, Mech. Mach. Theory, Vol. 39, No. 2 (2004), pp. 153-168.
(13) B.W. Bair, Tooth Profile Generation and Analysis of Crowned Elliptical Gears, ASME, J. Mech. Des., Vol. 131, No. 7 (2009), pp. 074503-1-074503-6.
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Snippet Elliptical gear is a typical non-circular gear, which transmits a variable-ratio rotation and power simultaneously. Due to the non-uniform rotation, the...
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SubjectTerms Acceleration
Elliptical Gear
Fourier transforms
Frequency Analysis
Gear
Gears
Noise
Non Uniform Rotation
Running
Spectra
Tooth Impact
Tooth Separation
Torque
Vibration
Title Vibration and Noise Characteristics of Elliptical Gears due to Non-Uniform Rotation
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