Investigation of Pressure Distribution on Slippers of a Monorail Sled with Vibration Damper

Subject Areas : vibration and control

Mohammad Reza Najafi ¹ , Saied Mahjoub Moghadas ²

1 - Department of Mechanical Engineering, Imam Hosein comprehensive University, Tehran, Iran
2 - Department of Mechanical Engineering, Imam Hossein University, Tehran, Iran

Received: 2022-01-15 Accepted : 2022-04-15 Published : 2024-02-24

Keywords: Modal Analysis, Natural Frequency, Pressure Distribution, Sled Test, Slipper,

Abstract :

In this paper, the pressure distribution on the slippers of a mono-rail sled with vibration damping is investigated. Due to the many applications of sled testing in the aerospace industry, the study of system vibrations is highly noticeable. In this research, first, by mathematical modelling of the sled, the governing Equations are extracted and natural frequencies and vibration modes are obtained from the analytical method using the mass and stiffness matrix of the system. Then, using numerical simulation and validation methods with experimental results performed in wind tunnels, the modal analysis of the designed sled sample is performed. A difference of less than eight percent in both numerical and analytical methods proves the accuracy of the results. The results show that the role of the slipper in the vibrations created in the sled is very important due to the large torsional and transverse oscillations in different positions, and the highest static pressure occurs in the inner layer of the slipper.

References:

[1] Gragossian, A., Pierrottet, D. F., Estes, J., Barnes, B. W., Amzajerdian, F., and Hines, G. D., Navigation Doppler Lidar Performance Analysis at High Speed and Long Range, AIAA Scitech 2020 Forum 1 PartF(January), 2020, pp. 1–6. Doi: 10.2514/6.2020-0369.
[2] Deleon, A., Baker, W. P., and Palazotto, A. N., Evaluation of a Nonlinear Melt Region Produced Within a High Speed Environment, AIAA/ASCE/AHS/ASC Struct Struct Dyn Mater Conf 2018 (210049), 2018, pp. 1–17. Doi: 10.2514/6.2018-0187.
[3] Meacham, M. B., Gallon, J. C., Johnson, M. R., Natzic, D. B., Thompson, N., Aguilar, D., Marti, B., Hennings, E., and Rivellini, T., Rocket Sled Strength Testing of Large, Supersonic Parachutes, Aerodyn Decelerator Syst Technol Conf1–28, 2015. Doi: 10.2514/6.2015-2163.
[4] Guan, H., Zhu, Y., and Zhang, S. J., Aerodynamic characteristics of Ejection Seat and Occupant, 51st AIAA Aerosp Sci Meet Incl New Horizons Forum Aerosp Expo 2013 (January), 2013, pp. 1–20, Doi: 10.2514/6.2013-386.
[5] Cinnamon, J. D., Palazotto, A. N., Further Validation of A General Approximation for Impact Penetration Depth Considering Hypervelocity Gouging Data, Int J Impact Eng, Vol. 34, No. 8, 2007, pp. 1307–1326. Doi: 10.1016/j.ijimpeng.2006.08.005.
[6] Nakata, D., Kozu, A., Yajima, J., Nishine, K., Higashino, K., and Tanatsugu, N., Predicted and Experimented Acceleration Profile of the Rocket Sled, Trans Japan Soc Aeronaut Sp Sci Aerosp Technol Japan 10(ists28):Ta_1-Ta_5, 2012. Doi: 10.2322/tastj.10.ta_1.
[7] Xiao, J., Zhang, W. W., Xue, Q., Zhang, L. R., and Zhou, X. B., Reliability Analysis of Engine Shell Strength under Rocket Sledge Vibration Environment, J Phys Conf Ser, Vol. 1176, No. 6, 2019, pp. 4–9, Doi: 10.1088/1742-6596/1176/6/062047.
[8] Butova, S. V., Gerasimov, S. I., Erofeev, V. I., and Kamchatnyi, V. G., Stability of High-Speed Objects Moving Along a Rocket Track Guide. J Mach Manuf Reliab, Vol. 44, No. 1, 2015, pp. 1–5. Doi: 10.3103/S1052618815010021.
[9] Hooser, C., Afb, H., and Beach, H., AIAA 2002-3037 AIAA 2002-3037 Proposed Hypersonic Air-Breathing Test Capability At The Holloman High Speed Test Track Usaf-Holloman High Speed Test Track Neil Bosmajian The Boeing Company-Reusable Space Systems, Test (June), 2002, pp. 1–12.
[10] Nakata, D., Yajima, J., Nishine, K., Higashino, K., Tanatsugu, N., and Kozu, A., Research and Development of High Speed Test Track Facility in Japan. 50th AIAA Aerosp Sci Meet Incl New Horizons Forum Aerosp Expo (January), 2012, pp. 1–11. Doi: 10.2514/6.2012-928.
[11] Hsu, Y. H., Langhorn, A., Ketchen, D., Holland, L., Minto, D., and Doll, D., Magnetic Levitation Upgrade to the Holloman High Speed Test Track, IEEE Trans Appl Supercond, Vol. 19, No. 3, 2009, pp. 2074–7. Doi: 10.1109/TASC.2009.2019558.
[12] Kumar, V., Terrazas, J., Edmonds, R., and Kotteda, V. M. K., Multiphase CFD Modeling of The Braking Phenomena for The Holloman High-Speed Test Track, 23rd AIAA Int Sp Planes Hypersonic Syst Technol Conf 2020, 2020, pp. 1–10. Doi: 10.2514/6.2020-2446.
[13] Wang, B., Zheng, J., Yu, Y., Lv, R., and Xu, C., Shock-Wave/Rail-Fasteners Interaction for Two Rocket Sleds in The Supersonic Flow Regime, Fluid Dyn Mater Process, 2020. Doi: 10.32604/FDMP.2020.09681.
[14] Guangqi, H., Yin, A. I., R., and Zhenzhen, J., Simulation Analysis of Rocket Sled Vibration Reduction Platform, J Exp Test, Vol. 2, 2006, pp. 10–3.
[15] Xiao, J., Zhang, W. W., Xue, Q., Gao, W. B., and Deng, B., Analysis of Rocket Sled Vibration Signal Transmission Based on Zigbee Application, J Phys Conf Ser, Vol. 1176, No. 6, 2019, pp. 8–13. Doi: 10.1088/1742-6596/1176/6/062006.
[16] Tong, D. C., Mechanical Simulation of Rocket Sled Test Damping System, Nav Electron Eng, Vol. 8, 2012, pp. 87–9.
[17] Compilation, D. W., Theory of Vibration Reduction, Tsinghua Univ Press, 2014, pp. 69–91.
[18] Minto, D. W., Recent Increases in Hypersonic Test Capabilities at the Holloman High Speed Test Track, 38th Aerosp Sci Meet Exhib (January), 2000. Doi: 10.2514/6.2000-154.
[19] Bosmajian, N., Minto, D., and Holland, L., Status of the Magnetic Levitation Upgrade to the Holloman High Speed Test Track, 21st Aerodynamic Measurement Technology and Ground Testing Conference, 2000, pp. 2289.
[20] Gurol, H., Ketchen, D., Holland, L., Minto, D., Hooser, M., and Bosmajian, N., Status of the Holloman High Speed Maglev Test Track (HHSMTT), AIAA Aviat 2014 - 30th AIAA Aerodyn Meas Technol Gr Test Conf (June), 2014, pp. 1–15. Doi: 10.2514/6.2014-2655.
[21] Chen, S., He, Y., and Li, Z., Analysis of the Rocket Sled Track Irregularity in Time and Frequency Domains, CICTP 2014: Safe, Smart, and Sustainable Multimodal Transportation Systems, 2014, pp. 111–8.
[22] Turnbull, D., Hooser, C., Hooser, M., and Myers, J., Soft Sled Test Capability at the Holloman High Speed Test Track. US Air Force T&E Days, 2010.
[23] Kevin Dunshee Holloman High-Speed Test Track Design Manual. vol. 1.
[24] Bashash, S., Salehi-Khojin, A., and Jalili, N., Forced Vibration Analysis of Flexible Euler-Bernoulli Beams with Geometrical Discontinuities, Proceedings of the American Control Conference, 2008.
[25] Xiang, J., He, D., and Zeng, Q. Y., Analysis Theory of Spatial Vibration of High-Speed Train and Slab Track System, J Cent South Univ Technol (English Ed, 2008. Doi: 10.1007/s11771-008-0024-9.
[26] Gao, F., Wu, Z., Li, F., and Zhang, C., Numerical and Experimental Analysis of The Vibration and Band-Gap Properties of Elastic Beams with Periodically Variable Cross Sections. Waves in Random and Complex Media, 2019. Doi: 10.1080/17455030.2018.1430918.
[27] Mosavi, A., Benkreif, R., and Varkonyi-Koczy, A. R., Comparison of Euler-Bernoulli and Timoshenko beam Equations for Railway System Dynamics, Advances in Intelligent Systems and Computing, 2018.
[28] Afshar, N. P., Samani, F. S., and Molaie, M., Application of Linear And Nonlinear Vibration Absorbers For The Nonlinear Beam Under Moving Load, J Comput Appl Res Mech Eng, 2015. Doi: 10.22061/jcarme.2015.344.
[29] Jin, L., Zhang, Q., Lei, B., and Li, Z., Simulation and Research on 3D Gouging Model Based on Abaqus/Explicit, 2012 16th International Symposium on Electromagnetic Launch Technology, 2012, pp. 1–5.
[30] Buentello Hernandez, R. G., Palazotto, A. N., and Le, K. H., 3D Finite Element Modeling of High-Speed Sliding Wear, Collect Tech Pap - AIAA/ASME/ASCE/AHS/ASC Struct Struct Dyn Mater Conf1–20, 2013.
[31] Greenwood, D. T., Advanced Dynamics Najafi MR, Moghadas SM Investigation Effect of Adding a SBR Damper to A Sled Sample and Extraction of Its Equivalent Stiffness and Damping. ADMT J, 2022.
[32] Carlson, H. W., Gapcynski, J. P., An Experimental Investigation at a Mach Number of 2.01 of the Effects of Body Cross-Section Shape on the Aerodynamic Characteristics of Bodies and Wing-Body Combinations, 1955.
[33] Cengel, Y. A., Fluid Mechanics, Tata McGraw-Hill Education.