Aerospace Defense

Designing the Block of Vibration Absorbing System for Energy Supply of Carrier Rockets Using the Optimized LQR Algorithm

Document Type : Original Article

Authors

Keramat Malakzadeh Fard 1
Alireza Shahi 2
Alireza pourmoayed 3

1 Department of Mechanical Engineering, Malek Ashtar University, Tehran, Iran

2 Faculty of Aerospace Engineering, Malek Ashtar University of Technology, Tehran, Iran.

3 Member of the Faculty of Mechanics, Khatam Al-Anbia University of Defense (PBUH)

Abstract
This article examines the design of active isolators using the optimal algorithm (LQR). For this purpose, the dynamic model of the satellite launch vehicle as 6 degrees of freedom has been considered. Because the satellite carrier structure has a shell with reinforced ribs and stringers, Stiffness Calculation Methods(SCM) for reinforced shells were used. Also, to calculate the final frequency of the system, the equations of motion obtained from the dynamic model of the satellite launch vehicle were used. For damp vibrations generated with a vibration amplitude of less than 100 Hz, no method in the research conducted has been proposed. In this research, for the first time, a combined system of passive and active isolators to damp vibrations introduced into the energy supply block was used. The results of the present study show that combining these two systems improves the performance of each of the passive and active systems.In this combination, according to the results obtained by this system, vibrations with a vibration amplitude of less than 50 Hz are damped by up to 88 percent, and vibrations on the energy supply block with a vibration amplitude between 50 and 500 Hz by up to 96 percent are damped.

Keywords

Satellite
Power supply block
Active absorber
Passive absorber

Subjects

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  • DAY, J. R.; MILLER, K. A. Equibiaxial stretching of elastomeric sheets, an analytical verification of experimental technique. In: ABAQUS 2000 User’s Conference Proceedings. Newport, Rhode Island. May 30-June. 2000.‏
  • KASHEFI, S. Predictive Adaptive Autopilot for STT Missile Based on Model Reference Method and Lyapanov Theorem. Aerospace Machanics J, 2021, 8.3: 91-100.‏
  • Niemann, H., & Poulsen, J. K. (2003, June). Analysis and design of controllers for a double inverted pendulum. In Proceedings of the 2003 American Control Conference, 2003. (Vol. 4, pp. 2803-2808). IEEE.‏
  • Petrescu, F. I. T. (2015). Machine motion equations at the internal combustion heat engines. American Journal of Engineering and Applied Sciences, 8(1), 127.‏
  • Yu, Y., Naganathan, N. G., & Dukkipati, R. V. (2023). A literature review of automotive vehicle engine mounting systems. Mechanism and machine theory, 36(1), 123-142
  • Clark, M. (1985). Hydraulic engine mount isolation (No. 851650). SAE Technical Paper.‏
  • RÖSLER, Joachim; HARDERS, Harald; BÄKER, Martin. Mechanical behaviour of engineering materials: metals, ceramics, polymers, and composites. Springer Science & Business Media, 2015.‏
  • Craver, C., Tabery, J., & Illari, P. (2015). Mechanisms in science.‏
  • Ji, J. C., & Zhang, N. (2019). Suppression of the primary resonance vibrations of a forced nonlinear system using a dynamic vibration absorber. Journal of Sound and Vibration, 329(11), 2044-2056.‏
  • Åström, K., & Wittenmark, B. (1995). Adaptive Control, Addison Weseley. Reading.‏
  • Poulakis, K. (2016). Alzheimer's disease heterogeneity assessment using high dimensional clustering techniques.‏
  • El-Ganaini, W. A. A., & Elgohary, H. A. (2021). Vibration suppression via time-delay absorber described by non-linear differential equations. Adv. Theor. Appl. Mech, 4(2), 49-67.‏
  • ÅSTRÖM, K.; WITTENMARK, Björn. Adaptive Control, Addison Weseley. Reading, 1995.‏
  • Assunção, E., Teixeira, M. C., Faria, F. A., Silva, N. D., & Cardim, R. (2017). Robust state-derivative feedback LMI-based designs for multivariable linear systems. International Journal of Control, 80(8), 1260-1270
  • Czop, P., Wszołek, G., & Hetmańczyk, M. P. (2020). The Effects of the Aeration Phenomenon on the Performance of Hydraulic Shock Absorbers. In Sympozjon Modelowanie w Mechanice (pp. 11-30). Cham: Springer International Publishing
  • Yaman, S. (2019). Resumen de tesis. Cash holding in family controlled firms: How family ownership, corporate governance and European financial crisis affect cash holding?.
  • Goldstein, A. P. (2013). United States: Causes, controls, and alternatives to aggression. Aggression in Global Perspective: Pergamon General Psychology Series, 115, 435.‏
  • Alouneh, S., Abed, S. E., Al Shayeji, M. H., & Mesleh, R. (2019). A comprehensive study and analysis on SAT-solvers: advances, usages and achievements. Artificial Intelligence Review, 52, 2575-2601.‏
  • Halsey, M., & Deegan, S. (2018). ‘Picking up the pieces’: Female significant others in the lives of young (ex) incarcerated males. Criminology & Criminal Justice, 15(2), 131-151.‏
  • Cao, X., Wei, C., Liang, J., & Wang, L. (2021). Design and dynamic analysis of metal rubber isolators between satellite and carrier rocket system. Mechanical Sciences, 10(1), 71-78.‏
  • Kim, E., Tanaka, Y., Hamashima, D., Hayasaki, K., Kurashige, H., Goto, K., ... & Yamamura, S. (2022, December). D06 Demonstration of a Variable Dynamic Vibration Absorber to Reduce Vibration during a Rocket Launch. In The Proceedings of the Space Engineering Conference 2014.23 (pp. _D06-1_). The Japan Society of Mechanical Engineers
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  • https://daily.sharif.ir/magazine
  • نجفی، مطلبی. مروری بر پارامترهای عملکردی میراگرهای ارتعاشی مغناطیسی. مجله علمی صوت و ارتعاش. (24)12، 86-105، 2024.
  • عسکرپور، مزیدی، رفیعیان، منصور. تحلیل ارتعاشات آئولین خطوط انتقال نیرو با وجود جداکننده. مجله مهندسی مکانیک. (5)32، 60-71، 2023.
  • Sahu, A. K., Emadi, A., & Bilgin, B. (2023). Noise and vibration in switched reluctance motors: A review on structural materials, vibration dampers, acoustic impedance, and noise masking methods. IEEE Access, 11, 27702-27718.‏
  • Auersch, L. (2025). Soil–structure interaction and damping by the soil-effects of foundation groups, foundation flexibility, soil stiffness and layers. Vibration, 8(5), 1-28.‏
  • Timmins, A. R., & Heuser, R. E. (1971). A study of first-day space malfunctions (No. NASA-TN-D-6474)
  • Alimjonov, I. (2025). TECHNICAL MALFUNCTIONS IN THE INTERNATIONAL SPACE STATION’S ENERGY SYSTEM AND THEIR SOLUTIONS. Educational Research in Universal Sciences, 4(4), 47-55.‏
  • DAY, J. R.; MILLER, K. A. Equibiaxial stretching of elastomeric sheets, an analytical verification of experimental technique. In: ABAQUS 2000 User’s Conference Proceedings. Newport, Rhode Island. May 30-June. 2000.‏
  • KASHEFI, S. Predictive Adaptive Autopilot for STT Missile Based on Model Reference Method and Lyapanov Theorem. Aerospace Machanics J, 2021, 8.3: 91-100.‏
  • Niemann, H., & Poulsen, J. K. (2003, June). Analysis and design of controllers for a double inverted pendulum. In Proceedings of the 2003 American Control Conference, 2003. (Vol. 4, pp. 2803-2808). IEEE.‏
  • Petrescu, F. I. T. (2015). Machine motion equations at the internal combustion heat engines. American Journal of Engineering and Applied Sciences, 8(1), 127.‏
  • Yu, Y., Naganathan, N. G., & Dukkipati, R. V. (2023). A literature review of automotive vehicle engine mounting systems. Mechanism and machine theory, 36(1), 123-142
  • Clark, M. (1985). Hydraulic engine mount isolation (No. 851650). SAE Technical Paper.‏
  • RÖSLER, Joachim; HARDERS, Harald; BÄKER, Martin. Mechanical behaviour of engineering materials: metals, ceramics, polymers, and composites. Springer Science & Business Media, 2015.‏
  • Craver, C., Tabery, J., & Illari, P. (2015). Mechanisms in science.‏
  • Ji, J. C., & Zhang, N. (2019). Suppression of the primary resonance vibrations of a forced nonlinear system using a dynamic vibration absorber. Journal of Sound and Vibration, 329(11), 2044-2056.‏
  • Åström, K., & Wittenmark, B. (1995). Adaptive Control, Addison Weseley. Reading.‏
  • Poulakis, K. (2016). Alzheimer's disease heterogeneity assessment using high dimensional clustering techniques.‏
  • El-Ganaini, W. A. A., & Elgohary, H. A. (2021). Vibration suppression via time-delay absorber described by non-linear differential equations. Adv. Theor. Appl. Mech, 4(2), 49-67.‏
  • ÅSTRÖM, K.; WITTENMARK, Björn. Adaptive Control, Addison Weseley. Reading, 1995.‏
  • Assunção, E., Teixeira, M. C., Faria, F. A., Silva, N. D., & Cardim, R. (2017). Robust state-derivative feedback LMI-based designs for multivariable linear systems. International Journal of Control, 80(8), 1260-1270
  • Czop, P., Wszołek, G., & Hetmańczyk, M. P. (2020). The Effects of the Aeration Phenomenon on the Performance of Hydraulic Shock Absorbers. In Sympozjon Modelowanie w Mechanice (pp. 11-30). Cham: Springer International Publishing
  • Yaman, S. (2019). Resumen de tesis. Cash holding in family controlled firms: How family ownership, corporate governance and European financial crisis affect cash holding?.
  • Goldstein, A. P. (2013). United States: Causes, controls, and alternatives to aggression. Aggression in Global Perspective: Pergamon General Psychology Series, 115, 435.‏
  • Alouneh, S., Abed, S. E., Al Shayeji, M. H., & Mesleh, R. (2019). A comprehensive study and analysis on SAT-solvers: advances, usages and achievements. Artificial Intelligence Review, 52, 2575-2601.‏
  • Halsey, M., & Deegan, S. (2018). ‘Picking up the pieces’: Female significant others in the lives of young (ex) incarcerated males. Criminology & Criminal Justice, 15(2), 131-151.‏
  • Cao, X., Wei, C., Liang, J., & Wang, L. (2021). Design and dynamic analysis of metal rubber isolators between satellite and carrier rocket system. Mechanical Sciences, 10(1), 71-78.‏
  • Kim, E., Tanaka, Y., Hamashima, D., Hayasaki, K., Kurashige, H., Goto, K., ... & Yamamura, S. (2022, December). D06 Demonstration of a Variable Dynamic Vibration Absorber to Reduce Vibration during a Rocket Launch. In The Proceedings of the Space Engineering Conference 2014.23 (pp. _D06-1_). The Japan Society of Mechanical Engineers
  • Escartí-Guillem, M. S., Barriuso Feijoo, P., Cebrecos, A., Chimeno Manguán, M., Cobo, P., García-Raffi, L. M., ... & Simón Hidalgo, F. (2021). Application of metamaterials to control noise scattering during space vehicle lift-off. Euronoise 2021, 25th ro 27th October.
  • https://daily.sharif.ir/magazine
  • نجفی، مطلبی. مروری بر پارامترهای عملکردی میراگرهای ارتعاشی مغناطیسی. مجله علمی صوت و ارتعاش. (24)12، 86-105، 2024.
  • عسکرپور، مزیدی، رفیعیان، منصور. تحلیل ارتعاشات آئولین خطوط انتقال نیرو با وجود جداکننده. مجله مهندسی مکانیک. (5)32، 60-71، 2023.
  • Sahu, A. K., Emadi, A., & Bilgin, B. (2023). Noise and vibration in switched reluctance motors: A review on structural materials, vibration dampers, acoustic impedance, and noise masking methods. IEEE Access, 11, 27702-27718.‏
  • Auersch, L. (2025). Soil–structure interaction and damping by the soil-effects of foundation groups, foundation flexibility, soil stiffness and layers. Vibration, 8(5), 1-28.‏
Aerospace Defense
Volume 4, Issue 1
Spring 2025
Pages 22-48

  • Receive Date 24 January 2025
  • Revise Date 26 May 2025
  • Accept Date 11 June 2025

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