Structural Stiffness Matching Modeling and Active Design Approach for Multiple Stepped Cantilever Beam

Document Type : Original Article

Authors

Northwest Institute of Mechanical and Electrical Engineering, Xianyang, China

Abstract

Aiming at the problem that it is difficult to realize the optimal design due to the fuzzy mapping relationship for the structural stiffness of multiple stepped cantilever beam; a stiffness matching modeling and active stiffness design approach was proposed. Firstly, by deriving out the continuous coordination conditions and the load extrapolation expressions of the cantilever joint, the stiffness analytical model and the recursive model were established for multiple cantilever beam segments, and the stiffness influence coefficient of those composition parameters were obtained by the sensitivity analysis. Then, the active stiffness optimization design process was constructed according to the stiffness design level of the stepped cantilever beam, and those implementation procedures were clearly figured out. Finally, the comparison and verification of the stiffness design of the stepped cantilever beam was carried out through numerical simulations, finite element analysis and bench test. The obtained results showed that the established models and the active stiffness design method are reasonable and effective. The stiffness match parameters are easy to meet the stiffness index requirements, and the safety factor is greater than 1; when the number of steps is not more than 5. The relative error between the match stiffness and the test stiffness is less than 15%, which can be reduced to less than 5% by adding redundancy coefficient (1.05, 1.15).

Keywords

Main Subjects

References

  1. Righettini, P. and Strada, R., "Driving Technologies for the Design of Additive Manufacturing Systems" HighTech and Innovation Journal, Vol. 2, No. 1, (2021), 20-28. DOI: 10.28991/HIJ-2021-02-01-03.
  2. Strömberg, L. J., "Battery Pot Plants with Magnets and Adjacent Balloon as Substitutes for Light" Journal of Human, Earth, and Future, Vol. 2, No. 2, (2021), 136-139. DOI: 10.28991/HEF-2021-02-02-05.
  3. Xie, J. R., Zhou, C. Y., Cheng, Y. and Lv, Z. R., " A New Method for Solving Free Vibration of Cantilever Beam with Multiple Steps and Its Experimental Validation" Earthquake Resistant Engineering and Retrofitting, Vol. 34, No. 4, (2012), 52-60. DOI: CNKI:SUN:GCKZ.0.2012-04-010.
  4. Parate, B. A., "Propellant Actuated Device for Parachute Deployment during Seat Ejection for an Aircraft Application" HighTech and Innovation Journal, Vol. 1, No. 3, (2020), 112-120. DOI: 10.28991/HIJ-2020-01-03-03.
  5. Bhat J. A., "Improved Strength and Stiffness Characteristics of Cross-laminated Poplar Timber Columns" International Journal of Engineering, Transactions A: Basics, Vol. 34, No. 4, (2021), 803-810. DOI: 10.5829/ije.2021.34.04a.06.
  6. Li, X. Y., Wan, Z. Q., Wang, X. Z. and Yang, C.,"Aeroelastic Optimization Design of the Global Stiffness for a Joined Wing Aircraft" Applied Sciences, Vol. 11, (2021), 11800. DOI: 10.3390/app112411800.
  7. Ke, J., Shi, W. K., Chen, Z. Y, Gao, B., Yuan, K. and Zhou, G., "Matching Design Method for Stiffness of Composite Auxiliary Spring" Acta Materiae Compositae Sinica, Vol. 33, No. 5, (2016), 1119-1124. DOI:10.13801/ j.cnki.fhclxb.20151225.003.
  8. Shi, Y. G., Zhao, X. Y., Zhang, H. J., Nie, Y. X. and Zhang, D. W., "A New Top-Down Design Method for the Stiffness of Precision Machine Tools" The International Journal of Advanced Manufacturing Technology, Vol.83, (2016), 1887-1904. DOI: 10.1007/s00170-015-7705-y.
  9. Saindane, U. V., Soni, S. and Menghani, J. V., "Dry Sliding Behavior of Carbon-based Brake Pad Materials" International Journal of Engineering, Transactions B: Applications, Vol. 34, No. 11, (2021), 2517-2524. DOI: 10.5829/IJE.2021.34.11B.14.
  10. Saindane, U. V., Soni, S. and Menghani, J. V., "Friction and Wear Performance of Brake Pad and Optimization of Manufacturing Parameters using Grey Relational Analysis" International Journal of Engineering, Transactions C : Aspects, Vol. 35, No. 3, (2022), 552-559. DOI: 10.5829/IJE.2022.35.03C.07.
  11. Wang, X.C., Finite element method, Beijing: Tsinghua University Press, 2003.
  12. Ke, J., Wu, Z. Y., Liu, Y. S., Xiang, Z. and Hu, X. D., "Design Method, Performance Investigation and Manufacturing Process of Composite Helical Springs: A Review" Composite Structures, Vol. 252, (2020), 112747. DOI: 10.1016/ j.compstruct.2020.112747.
  13. Ahmadian, H. and Jalali, H., "Generic Element Formulation for Modelling Bolted Lap Joints" Mechanical Systems and Signal Processing, Vol. 21, No. 5, (2007), 2318-2334. DOI: 10.1016/j.ymssp.2006.10.006
  14. Lee, J. S., Ha, M. Y. and Min, J. K., "A Finite-Volume Based Topology Optimization Procedure for an Aero-thermal System with a Simplified Sensitivity Analysis Method" International Journal of Heat and Mass Transfer, Vol. 163, (2020), 120524. DOI: 10.1016/j.ijheatmasstransfer.2020.120524.
  15. Yuan, N., He, J. W. and Zhao, J., "Research on the Design for Structure Stiffness Center Line Using Method of Active Stiffness" Aircraft Design, Vol. 34, (2014), 23-27. DOI: CNKI:SUN:FJSJ.0.2014-06-005.
  16. Mohammadi, S. and Babagoli, M., "A Hybrid Modified Grasshopper Optimization Algorithm and Genetic Algorithm to Detect and Prevent DDoS Attacks" International Journal of Engineering, Transactions A: Basics, Vol. 34, No. 4, (2021), 811-824. DOI: 10.5829/ije.2021.34.04a.07.
  17. Deb, K., Pratap, A., Agarwal, S. and Meyarivan, T., "A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II" IEEE Transactions on Evolutionary Computation, Vol. 6, No. 2, (2002), 182-197. DOI:10.1109/4235.996017.
  18. Mohsin, M. S., Alwash, N. A. and Kadhum M. M., "Comparative Study on Structural Behavior of Reinforced Concrete Straight Beam and Beams with out Plane Parts" International Journal of Engineering, Transactions A: Basics, Vol. 34, No. 10, (2021), 2280-2293. DOI: 10.5829/ije.2021.34.10a.09.
International Journal of Engineering
Volume 35, Issue 7
TRANSACTIONS A: Basics
July 2022
Pages 1227-1236

Files

Share

How to cite

Statistics