Strength analysis of polymer conical gear wheel made with 3D printing technique

• Autorzy: Śpiewak Szczepan , Awrejcewicz Jan

Identyfikatory

DOI

10.2478/kones-2019-0078

• Języki publikacji: EN

Abstrakty

EN

The article deals with the problem of designing conical gears with a curved line contour. The contour of the tooth flank is described by means of a helix and involutions. In the work, a conical gear designed to drive of the lower limb rehabilitation exoskeleton has analysed. Parameters of the conical gearbox have been adapted to design requirements of the exoskeleton. Gear wheels were made with ABS material using 3D printing technique. The article presents the results of strength calculations obtained using the method classical design of the gear wheals described in the norm ISO 6336-1996. In the strength calculations, bending and contact stresses were taken into account. Creating the contour of gears was aided through the gearbox wizard available in Inventor program. The work contains the results of a static tensile test of the material from which the gear wheels were made. In experimental and numerical studies, the orthotropy of the material used was taken into account. The orthogonal values of the Young’s modulus, the Poisson’s ratio and the Kirchhoff’s modulus were determined. The publication also includes partial results of fatigue tests in the area of normal stresses. In the research used to finite element method (FEM), determine of internal loads in the gear. A structure of the FEM model is described in detail. Maximum values of contact pressures determined by use to FEM models have been compared with the results obtained on the basis of Hertz’s formulas. The article presents basic geometrical and strength parameters of the designed gear. The work demonstrates the validity of the material models used. Limitations in the application of the classic method of calculating conical gears made of orthotropic materials have been indicated. The results of analytical and numerical calculations are presented in tabular and graphical form.

Słowa kluczowe

EN

exoskeleton; strength analysis; finite element method; FEM; material model of acrylonitrile-co-butadiene-co-styrene; conical gears

• Wydawca: Łukasiewicz Research Network - Institute of Aviation ; European Science Society of Powertrain and Transport KONES Poland ; Wydawnictwo Instytutu Technicznego Wojsk Lotniczych
• Czasopismo: Journal of KONES
• Rocznik: 2019
• Tom: Vol. 26, No. 3
• Strony: 235--242
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Śpiewak Szczepan

• Czestochowa University of Technology Faculty of Mechanical Engineering and Computer Science Dabrowskiego Street 73, 42-201 Czestochowa, Poland tel.: [phone], fax: [phone]

autor

Awrejcewicz Jan

• Lodz University of Technology Department of Automation Biomechanics and Mechatronics and Technology Stefanowskiego Street 1/15, 90-924 Lodz, Poland tel.: [phone]

Bibliografia

• [1] ADINA, Theory and Modeling Guide. Volume 1, ADINA R&D, Inc. Watertown 2007.
• [2] Bathe, K. J., Finite Element Procedures, Prentice-Hall, Inc. Simon & Schuster / A Viacom Company Upper Saddle River, New Jersey 1996.
• [3] Chen, B., Zi, B., Wang, Z., Qin, L, Liao, W., Knee exoskeletons for gait rehabilitation and human performance augmentation: A state-of-the-art, Mechanism and Machine Theory, Vol. 134, pp. 499-511, 2019.
• [4] Dziurski, A., Kania, L., Kasprzycki, A., Mazanek, E., Ziora, J., Przykłady obliczeń z podstaw konstrukcji maszyn, WNT, Warszawa 2019.
• [5] Grimmer, M., Quinlivan, B. T., Lee, S., Malcolm, P., Rossi, D. M., Siviy, C., Walsh, C., Comparison of the human-exosuit interaction using ankle moment and ankle positive power inspired walking assistance, Journal of Biomechanics, Vol. 83, pp. 76-84, 2019.
• [6] Haris, T. A., Kotzalas, M. N., Essential Concepts of Bearing Technology. Rolling Bearing Analysis, 5th ed. CRC Press Taylor & Francis Group, Boca Raton, London, New York 2007.
• [7] Zhang, H., Cai, L., Golub, M., Zhang, Y., Yang, X., Schlarman, K., Zhang, J., Tensile, Creep, and Fatigue Behaviors of 3D-Printed Acrylonitrile Butadiene Styrene, Journal of Materials Engineering and Performance, Vol. 27 (1), pp. 57-62, 2018.
• [8] PN-ISO 6336-1:2000, Przekładnie walcowe. Obliczanie nośności kół; 6336-2:2000 Wytrzymałość zęba na zmęczenie stykowe (pitting); 6336-3:2001, Wytrzymałość zęba na zginanie.
• [9] Yatsun, A., Jatsun, S., Modeling quasi-static gait of a personwearing lower limb exoskeleton, Springer Nature Switzerland AG, Proceedings of the 4th International Conference on Industrial Engineering Lecture Notes in Mechanical Engineering, pp. 565-575, 2019.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).