TECHNICAL MECHANICS
ISSN (Print): 1561-9184, ISSN (Online): 2616-6380

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UDC 629.784:621.64:532.542

Technical mechanics, 2018, 2, 17 - 29

COMPUTATION OF THE POGO SELF-OSCILLATION PARAMETERS IN THE DYNAMIC "PROPULSION – ROCKET STRUCTURE" SYSTEM BY USING A 3D STRUCTURAL MODEL

DOI: https://doi.org/10.15407/itm2018.02.017

Nikolayev O. D., Bashliy I. D., Khoryak N. V.

      ABOUT THE AUTHORS

Nikolayev O. D.
Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine
Ukraine

Bashliy I. D.
Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine
Ukraine

Khoryak N. V.
Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine
Ukraine

      ABSTRACT

      A mathematical model describing the nonlinear dynamical interaction of a launch vehicle (LV) and its marching liquid-propellant engine in the active phase of the LV flight is developed on the basis of the finite-element discretization of the "propulsion – LV structure" self-oscillating system using three-dimensional and one-dimensional finite elements. An approach to the computation of the liquid-propellant launch vehicle self-oscillation parameters self-oscillations of the liquid launch vehicle under POGO instability is developed.
      In the proposed approach, the rocket structure is considered as a complex multiply connected dissipative system "LV structure – liquid propellant in tanks" and is schematized by three-dimensional finite elements, which allows investigating the spatial vibrations of the LV structure and the liquid propellant in the tanks. Modeling of the low-frequency dynamics of the rocket engine pumps is performed on the basis of the theory of cavitation self-oscillations in pumping systems developed at the Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine (ITM of NASU and SSAU). The most significant nonlinearities in the numerical solution of the non-linear problem of liquid-propellant rocket POGO oscillations, namely, the nonlinearity of the dependence of the cavitation volume and the cavitation time constant on the pump operational parameters and the nonlinearity of the dependence of the LV structure oscillation decrements on the LV structure vibration amplitudes, were taken into account in the model of the system low-frequency dynamics.
      Numerical modeling of POGO self-oscillations of a two-staged LV with a total mass of 165 tons and with a mass of 130 tons of the propellant in the first stage tanks is carried out. For the computation case of the resonant interaction of the LV structure and the liquid-propellant rocket engine (LPRE), the limiting cycle parameters of the dynamic "LPRE – LV structure" system are determined. It is shown that in the case of LV POGO self-oscillations the structural elements vibrate and the pressures and the flow rates in the liquid-propellant rocket engine oscillate at a frequency of 15.9 Hz, which is close to the natural frequency of the second mode of the struc-tural longitudinal oscillations.
      The scientific software developed may be used in the theoretical determination of the POGO self-oscillation parameters of prospective liquid-propellant rockets (including rockets whose structure has a complex spatial con-figuration) with respect to elastic longitudinal and transverse oscillations of the LV structure and in assessing dynamic loads on LV structures. Pdf (English)







      KEYWORDS

POGO instability, liquid-propellant rocket, self-oscillations, longitudinal structural vibrations, mathematical modeling, pump cavitation, low-frequency propulsion system dynamics, three-dimensional finite elements

      FULL TEXT:

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      REFERENCES

1. Natanson M. S. Longitudinal Self-Oscillation of Liquid Rocket. Ìoscow: Mechanical Engineering, 1977. 208 pp. (in Russian).

2. Oppenheim B. W., Rubin S. Advanced Pogo Stability Analysis for Liquid Rockets. Journal of Spacecraft and Rockets. 1993. V. 30. No. 3. Pp. 360-383. https://doi.org/10.2514/3.25524

3. Qingwei Wang, Shujun Tan, Zhigang Wu, Yunfei Yang, Ziwen Yu. Improved modelling method of Pogo analysis and simulation. Acta Astronautica1. 2015. V. 107. Pp. 262-273. https://doi.org/10.1016/j.actaastro.2014.11.034

4. Swanson L. A., Giel T. V. Design analysis of the Ares I POGO Accumulator. AIAA 2009-4950. 45th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit (2-5 August 2009, Denver, Colorado). https://doi.org/10.2514/6.2009-4950

5. Zhihua Zhao, Gexue Ren, Ziwen Yu, Bo Tang, Qingsong Zhang. Parameter study on Pogo stability of liquid rockets. Journal of Spacecraft and Rockets. 2011. V. 48. No. 3. P. 537-541. https://doi.org/10.2514/1.51877

6. Junbeom Kim, Sang Joon Shin, Jongho Park, Youdan Kim. Structural modeling reflected nonlinearity for longitudinal dynamic instability (POGO) analysis of liquid propellant launch vehicles in preliminary design phase. AIAA SPACE 2015 Conference and Exposition, AIAA SPACE Forum, (AIAA 2015-4594).

7. Dotson K. W., Phuong Than. Procedure for Mission-Specific Pogo Stability Analyses and Risk Assessments. Spacecraft and Launch Vehicle Dynamic Environments Workshop Proceeding. (22 June 2005, El Segundo, CA). The Aerospace Corporation, 19 pp.

8. Pilipenko V. V. Cavitational Self-Oscillation. Kiev: Naukova Dumka, 1989. 316 pp. (in Russian).

9. Pilipenko V. V., Zadonzev A. P., Grigoriev A. P., Belezkiy A. S. Estimation of amplitudes of liquid launch vehicles longitudinal oscillations. Mechanics in Aviation and Astronautics. Ìoscow, 1995. Pp. 27-34. (in Russian).

10. Belezkiy A. S. Estimation of amplitudes of liquid launch vehicles longitudinal oscillations by method of harmonic linearization. Teh. Meh. 1993. No. 2. Pp. 58-63. (in Russian).

11. Pilipenko V. V., Dovgot'ko N. I., Dolgopolov S. I., Nikolaev A. D., Serenko V. A., Khoryak N. V. Theoretical evaluation of the amplitudes of pogo vibrations in liquid propellant launch vehicles (in Russian). Kosm. Nauka Tehnol. 1999. V. 5. No. 1. Pp. 90-96. https://doi.org/10.15407/knit1999.01.090

12. Pilipenko V. V., Dovgo'tko N. I., Pilipenko O. V., Nikolayev O. D., Pirog V. A., Dolgopolov S. I., Hodorenko V. F., Khoriak N.V., Bashliy I. D. Theoretical prediction of spacecraft longitudinal vibrations of Cyclone-4 liquid launch vehicle (in Russian). Teh. Meh. 2011. No. 4. Pp. 30-36.

13. Khoriak N. V., Nikolayev O. D. Mathematical modeling of interaction of longitudinal oscillations of liquid-propellant launch vehicle structure and dynamic processes in the propulsion system. Teh. Meh. 2010. No. 3. Pp. 27-37. (in Russian).

14. Chigarev A. V., Kravchuk A. S., Smaluk A. F. ANSYS for Engineers. Handbook. Ìoscow: Mechanical Engineering, 2004. 512 pp. (in Russian).

15. Bashliy I. D., Nikolayev O. D. Mathematical modeling of spatial oscillations of shell structures with liquid using modern computer-aided design and analysis tools. Teh. Meh. 2013. No. 2. Pp. 12-22. (in Russian).

16. Nikolayev O. D., Bashliy I. D. Mathematical modeling of spatial oscillations of liquid in a cylindrical tank with tank structure longitudinal vibrations. Teh. Meh. 2012. No. 2. Pp. 14-22. (in Russian).

17. Nikolaev O. D., Khoryak N. V., Serenko V. A., Klimenko D. V., Hodorenko V. F., Bashliy I. D. Considering dissipative forces for mathematical modeling longitudinal vibrations of liquid launch vehicle body. Teh. Meh. 2016. No. 2. Pp. 16-31. (in Russian).

18. Jarvinen W., Kennoy J., Kiefling L. A., Odum R., Papadopoulos J. G., Ryan, R. S. A study of Saturn AS-502 coupling longitudinal structural vibration and lateral bending response during boost. Journal of Spacecraft and Rockets. 1970. V.7. No. 2. Pp. 113-118. https://doi.org/10.2514/3.29884





DOI: https://doi.org/10.15407/itm2018.02.017

Copyright (©) 2018 Nikolayev O. D., Bashliy I. D., Khoryak N. V.

Copyright © 2014-2018 Technical mechanics


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