Modal Optimization Design of Supporting Structure Based on the Improved Particle Swarm Algorithm

Document Type : Original Article

Authors

1 Naval University of Engineering, Wuhan, China

2 92199 Unit of the Chinese People's Liberation Army Navy, Qingdao, Chin

3 92064 Unit of the Chinese People's Liberation Army Navy, Dongguan, China

Abstract

To cope with the strong vibration of a supporting structure excited by external loads under operating conditions, and in order to achieve the purpose of vibration reduction by structural optimization through modal modification, a modal modification method was proposed, through structural vibration theory. Subsequently, the search performance of an improved particle swarm optimization method was analyzed before conducting a case study on the structural optimization. Finally, aiming at the problem of strong vibration of gun mount at the time of firing, a finite element model of the gun mount was constructed and the type and natural frequency of the gun vibration in a free state was analyzed. Meanwhile, taking the thickness, height and width of the stiffening structure of the bracket as the design variables, combined with the improved particle swarm algorithm, an optimized mathematical model was developed with the first-order natural frequency of the gun mount as the objective function. The secondary development of Abaqus finite element software by using Python is used as a tool to calculate the optimization model. By virtue of optimation, thickness, width and height of the stiffening structure are 156.4mm, 453.7mm and 238.9mm at the range of [100,600]mm, [100,700]mm, [100,700]mm, respectively, and the base frequency of the gun mount has been increased by 11.3%. The effect is remarkable.

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Main Subjects


  1. Hussey, M., "Fundamentals of mechanical vibrations, Macmillan International Higher Education, (1983).
  2. Zare, H.G., Maleki, A., Rahaghi, M.I. and Lashgari, M., "Vibration modelling and structural modification of combine harvester thresher using operational modal analysis and finite element method", Structural Monitoring Maintenance, Vol. 6, No. 1, (2019), 33-46, doi.
  3. Sung, S.-H., Koo, K.-Y. and Jung, H.-J., "Modal flexibility-based damage detection of cantilever beam-type structures using baseline modification", Journal of Sound Vibration, Vol. 333, No. 18, (2014), 4123-4138, doi: 10.1016/j.jsv.2014.04.056.
  4. Liu, P., Zhu, H.-X., Yang, W.-G. And Huangfu, N.-q., "Tests on resonance and vibration mitigation responses of high-rise building under machine excitations", Journal of ZheJiang University, Vol. 54, No. 1, (2019), 102-109, doi: 10.3785/j.issn.1008-973X.2020.01.012.
  5. Ma, F., Cai, Y. and Wu, J.H., "Ultralight plat-type vibration damper with designable working bandwidth and strong multi-peak suppression performance", Journal of Physics D: Applied Physics, Vol. 54, No. 5, (2020), 055303, doi.
  6. Shi, Y. and Li, S., "An inverse modification method for assigning antiresonant frequencies", Applied Acoustics, Vol. 170, (2020), 107524, doi: 10.13465/j.cnki.jvs.2021.03.018.
  7. Braun, S. and Ram, Y., "Modal modification of vibrating systems: Some problems and their solutions", Mechanical Systems Signal Processing, Vol. 15, No. 1, (2001), 101-119, doi: 10.1006/mssp.2000.1354.
  8. Zhou, Y., Zhang, Y., Zeng, W. and Sun, Y., "Fast modification-aimed stress modal analysis of thin plates with holes/notches", Engineering Structures, Vol. 238, (2021), 112248, doi: 10.1016/j.engstruct.2021.112248.
  9. Mohamed, M.F.B.F. and Azmir, N.A.B., "Study on behavior of water treatment pump before and after modification using finite element modal analysis", in IOP Conference Series: Materials Science and Engineering, IOP Publishing. Vol. 824, No. 1, (2020), 012004.
  10. Pourzangbar, A., Vaezi, M., Mousavi, S. and Saber, A., "Effects of brace-viscous damper system on the dynamic response of steel frames", International Journal of Engineering, Transactions B: Applications, Vol. 33, No. 5, (2020), 720-731, doi: 10.5829/ije.2020.33.05b.02.
  11. Richardson, M. and Formenti, D., "Structural dynamics modification and modal modeling", Handbook of Experimental Structural Dynamics, Vol., No., (2020), 1-61, doi: 10.1007/978-1-4939-6503-8_25-1.
  12. Marinone, T., Avitabile, P., Foley, J. and Wolfson, J., "Efficient computational nonlinear dynamic analysis using modal modification response technique", Mechanical Systems Signal Processing, Vol. 31, No., (2012), 67-93, doi: 10.1016/j.ymssp.2012.02.011.
  13. Luk, Y.W., "System modeling and modification via modal analysis", Virginia Polytechnic Institute and State University, (1981),
  14. MA, B.-j., FENG, H.-h., LIAO, R.-d. and YAO, L.-m., "Modal analysis of engine structure based on the modal correlation and model modification [j]", Vehicle Power Technology, Vol. 2, No., (2006), doi: 10.16599/j.cnki.1009-4687.2006.02.010.
  15. Cury, A., Cremona, C. and Dumoulin, J., "Long-term monitoring of a psc box girder bridge: Operational modal analysis, data normalization and structural modification assessment", Mechanical Systems Signal Processing, Vol. 33, No., (2012), 13-37, doi: 10.1016/j.ymssp.2012.07.005.
  16. Ye, S., Hou, L., Zhang, P., Bu, X., Xiang, J., Tang, H. and Lin, J., "Transfer path analysis and its application in low-frequency vibration reduction of steering wheel of a passenger vehicle", Applied Acoustics, Vol. 157, No., (2020), 107021, doi.
  17. Li, T., Wu, C., Shen, L., Kong, X. and Ding, X., "Improving machine tool dynamic performance using modal prediction and sensitivity analysis method", J Mech Eng, Vol. 55, No. 7, (2019), 178-186, doi.
  18. Zhang, Y., Yang, Y.e., Du, W. and Han, Q., "Research on finite element model modification of carbon fiber reinforced plastic (CFRP) laminated structures based on correlation analysis and an approximate model", Materials, Vol. 12, No. 16, (2019), 2623, doi.
  19. Khan, A., Ko, D.-K., Lim, S.C. and Kim, H.S., "Structural vibration-based classification and prediction of delamination in smart composite laminates using deep learning neural network", Composites Part B: Engineering, Vol. 161, (2019), 586-594, doi: 10.1016/j.compositesb.2018.12.118.
  20. Azim, M.R., Zhang, H. and Gül, M., "Damage detection of railway bridges using operational vibration data: Theory and experimental verifications", Structural Monitoring Maintenance, Vol. 7, No. 2, (2020), 149-166, doi: 10.12989/smm.2020.7.2.149.
  21. Fadaei, S. and Rashno, A., "Content-based image retrieval speedup based on optimized combination of wavelet and zernike features using particle swarm optimization algorithm", International Journal of Engineering, Transactions B: Applications, Vol. 33, No. 5, (2020), 1000-1009, doi: 10.5829/ije.2020.33.05b.34.
  22. Yousefipour, A., Rahmani, A. and Jahanshahi, M., "Improving the load balancing and dynamic placement of virtual machines in cloud computing using particle swarm optimization algorithm", International Journal of Engineering, Transactions C: Aspects, Vol. 34, No. 6, (2021), 1419-1429, doi: 10.5829/ije.2021.34.06c.05.
  23. Hasibi, H., Mahmoudian, A. and Khayati, G., "Modified particle swarm optimization-artificial neural network and gene expression programing for predicting high temperature oxidation behavior of ni–cr–w-mo alloys", International Journal of Engineering, Transactions B: Applications, Vol. 33, No. 11, (2020), 2327-2338, doi: 10.5829/IJE.2020.33.11B.23.
  24. Yektaniroumand, T., Niaz Azari, M. and Gholami, M., "Optimal rotor fault detection in induction motor using particle-swarm optimization optimized neural network", International Journal of Engineering, Transactions B: Applications, Vol. 31, No. 11, (2018), 1876-1882, doi: 10.5829/ije.2018.31.11b.11.
  25. Ji-feng, L., "Traffic flow prediction based on improved particle swarm optimization".
  26. Shi, Y., "Particle swarm optimization: Developments, applications and resources", in Proceedings of the 2001 congress on evolutionary computation (IEEE Cat. No. 01TH8546), IEEE. Vol. 1, (2001), 81-86.
  27. Shi, Y. and Eberhart, R.C., "Parameter selection in particle swarm optimization", in International conference on evolutionary programming, Springer. (1998), 591-600.
  28. Wu, Y., Cheng, Q., Yang, G. and Dai, J., "Research on vibration characteristics of a multi-barrel artillery", Journal of Vibroengineering, Vol. 21, No. 5, (2019), 1241-1250.
  29. Zanardo, G., "Structural modification approaches to modal design optimisation of vibrating systems", (2011).
  30. Pal, S., Roy, B. and Choudhury, S., "Comparative performance study of tuned liquid column ball damper for excessive liquid displacement on response reduction of structure", International Journal of Engineering, Vol. 33, No. 5, (2020), 753-759, doi: 10.5829/IJE.2020.33.05B.06.
  31. Zhang, R., Liu, J., He, C., Zhao, H. and Wang, Q., "Test and simulation study of the effect of transverse impact stress on the rosette 19-hole gun propellant under low temperature", FirePhysChem, (2021).
  32. Chuan-jian, L., Guo-lai, Y. and Xiao-feng, W., "Structural dynamics optimization of gun based on neural networks and genetic algorithms", Acta Armamentarii, Vol. 36, No. 5, (2015), 789, doi.
  33. Yuan, W.-H., Wang, H.-C., Zhang, W., Dai, B.-B., Liu, K. and Wang, Y., "Particle finite element method implementation for large deformation analysis using abaqus", Acta Geotechnica, (2021), 1-14.