탄소성 변형을 고려한 타이로드 고정 회전체의 동역학 해석
Dynamic Analysis of Tie-rod-fastened Rotor ConsideringElastoplastic Deformation
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This study conducts numerical modeling and eigen-analysis of a rod-fastened rotor, which is mainly used in aircraft gas turbine engines in which multiple disks are in contact through curvic coupling. Nayak's theory is adopted to calculate surface parameters measured from the tooth profile of the curvic coupling gear. Surface parameters are important design parameters for predicting the stiffness between contact surfaces. Based on the calculated surface parameters, elastoplastic contact analysis is performed according to the interference between two surfaces based on the Greenwood–Williamson model. The equivalent bending stiffness is predicted based on the shape and elastoplastic contact stiffness of the curvic coupling. An equation of motion of the rod-fastened rotor, including the bending stiffness of the curvic coupling, is developed. Methods for applying the bending stiffness of a curvic coupling to the equation of motion and for modeling the equation of motion of a rotor that includes both inner and outer rotors are introduced. Rotordynamic analysis is performed through one-dimensional finite element analysis, and each element is modeled based on Timoshenko beam theory. Changes in bending stiffness and the resultant critical speed change in accordance with the rod fastening force are predicted, and the corresponding mode shapes are analyzed. Keywords: Curvic coupling(곡률 커플링), Dual rotor(복 축), Rotordynamics(회전체 동역학), Contact mechanics( 접촉 역학), Elastoplastic deformation(탄소성 변형) Nomenclature An : Normal contact area of rough surface (m2) (거친 표면 수직 접촉 면적) †Corresponding author: Junho Suh Tel: +82-51-510-1475 E-mail: junhosuh@pusan.ac.kr http://orcid.org/0000-0001-5516-9637 ⓒ
Abstract
This study conducts numerical modeling and eigen-analysis of a rod-fastened rotor, which is mainly used in aircraft gas turbine engines in which multiple disks are in contact through curvic coupling. Nayak's theory is adopted to calculate surface parameters measured from the tooth profile of the curvic coupling gear. Surface parameters are important design parameters for predicting the stiffness between contact surfaces. Based on the calculated surface parameters, elastoplastic contact analysis is performed according to the interference between two surfaces based on the Greenwood–Williamson model. The equivalent bending stiffness is predicted based on the shape and elastoplastic contact stiffness of the curvic coupling. An equation of motion of the rod-fastened rotor, including the bending stiffness of the curvic coupling, is developed. Methods for applying the bending stiffness of a curvic coupling to the equation of motion and for modeling the equation of motion of a rotor that includes both inner and outer rotors are introduced. Rotordynamic analysis is performed through one-dimensional finite element analysis, and each element is modeled based on Timoshenko beam theory. Changes in bending stiffness and the resultant critical speed change in accordance with the rod fastening force are predicted, and the corresponding mode shapes are analyzed. Keywords: Curvic coupling(곡률 커플링), Dual rotor(복 축), Rotordynamics(회전체 동역학), Contact mechanics( 접촉 역학), Elastoplastic deformation(탄소성 변형) Nomenclature An : Normal contact area of rough surface (m2) (거친 표면 수직 접촉 면적) †Corresponding author: Junho Suh Tel: +82-51-510-1475 E-mail: junhosuh@pusan.ac.kr http://orcid.org/0000-0001-5516-9637 ⓒ
참고문헌 (15)
- Yuan, S. X., "Stress distribution and contact status analysis of a bolted rotor with curvic couplings", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 224(9), pp.1815~1829 (2010)
- Peng, He, "Rotor dynamic analysis of tie-bolt fastened rotor based on elastic-plastic contact", Turbo Expo: Power for Land, Sea, and Air, 54662 (2011)
- Dowson, D., "History of Tribology", pp.129~ (1998), Professional Engineering Publishing Ltd.
- Yu, Y., "Analysis of contact stiffness and bending stiffness according to contact angle of curvic coupling", Tribology and Lubricant, 34(1), pp.23~32 (2018)
- Liu, Di, "Modeling and dynamic analysis for rotors with curvic-coupling looseness", Journal of Vibration and Control, 29(9-10), pp.1996~2009 (2023)
- Sun, Chuanzong, "Nonlinear dynamical behaviors of a complicated dual-rotor aero-engine with rub-impact", Archive of Applied Mechanics, 88, pp.1305~1324 (2018)
- Hou, Xi, "A dynamic modeling approach for a high-speed winding system with twin-rotor coupling", Textile Research Journal, 90(21-22), pp.2533~2551 (2020)
- Nayak, P. Ranganath, "Random process model of rough surfaces", Journal of Tribology, pp.398~407 (1971)
- Nayak, P. Ranganath, "Random process model of rough surfaces in plastic contact", Wear, 26(3), pp.305~333 (1973)
- Longuet-Higgins, M. S., "The statistical analysis of a random, moving surface", Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 249(966), pp.321~387 (1957)
- Greenwood, James A., "Contact of nominally flat surfaces", Proceedings of the royal society of London. Series A. Mathematical and physical sciences, 295(1442), pp.300~319 (1966)
- Kogut, L., "Elastic-plastic contact analysis of a sphere and a rigid flat", Journal of Applied Mechanics, 69(5), pp.657~662 (2002)
- Jackson, R. L., "A finite element study of elasto-plastic hemispherical contact against a rigid flat", Journal of Tribology, 127, pp.343~354 (2005)
- Mindlin, Raymond David, "Compliance of elastic bodies in contact", Journal of Applied Mechanics, pp.259~268 (1949)
- Lu, Zhenyong, "Modeling and dynamic characteristics analysis of blade-disk dual-rotor system", Complexity, 2020, pp.1~13 (2020)