DOI 10.17586/0021-3454-2022-65-5-372-378
UDC 004.942, 519.876.5, 536.37
DYNAMIC MODEL OF A SYSTEM OF ELASTICALLY COUPLED PARTICLES FOR TOPOLOGICAL OPTIMIZATION OF COMPOSITE MATERIAL PRODUCTS
Kazan National Research Technical University named after A.N. Tupolev — KAI, Kazan, 420111, Russian Federation; Student
I. V. Tsivilskiy
Kazan National Research Technical University named after A.N. Tupolev — KAI, Kazan, 420111, Russian Federation; Associate Professor
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Abstract. The object of research is composite materials, the main advantages of which include low weight of the structure and high resistance to mechanical and thermal loads. In order to predict possible loads on composite structures and take these data into account at the initial stage of parts development, computer modeling of the processes associated with them is required. A grid-less method for optimizing products made of composite materials based on elastically bonded meta-particles is proposed. The results of optimization calculations of dimensions for a test beam under the action of a static deflection load are obtained. The software implementation is carried out in JavaScript without third-party libraries. The weight reduction comprises 25% of the original model. Verification of the optimized geometry is performed under similar conditions of mechanical loading in the Ansys Student package. The developed prototype can be used to determine the possible percentage of weight reduction of a composite structure.
Keywords: meshless method, topology optimization, structural dynamics, strength, composite materials, mathematical modeling
References:
References:
- Gebisa A.W., Lemu H.G. IOP Conference Series: Materials Science and Engineering 276, 2017, DOI: 10.1088/1757-899X/276/1/012026.
- Bashin K.A., Torsunov R.A., Semenov S.V. PNRPU Aerospace Engineering Bulletin, 2017, no. 51, pp. 51–61, DOI: 10.15593/2224-9982/2017.51.05.
- Zienkiewicz O.C., Taylor R.L., Zhu J.Z. The Finite Element Method: its Basis and Fundamentals (Seventh Edition), Butterworth-Heinemann, 2013, рр. 683–684, ISBN 9781856176330, DOI 10.1016/B978-1-85617-633-0.00032-0.
- Liu G.R., Quek S.S. The Finite Element Method: A Practical Course, 2014, https://doi.org/10.1016/B978-0-08-098356-1.00001-1.
- ANSYS Corporation: ANSYS online help, 2010, https://ansyshelp.ansys.com/.
- Xie L., Zhang Y., Ge M., Zhao Y. Energy Reports, 2022, no. 8, pp. 718–726, https://doi.org/10.1016/j.egyr.2021.11.214.
- Leclerc W., Haddad H., Guessasma M. International Journal of Solids and Structures, 2019, vol. 160, рр. 276–292, https://doi.org/10.1016/j.ijsolstr.2018.10.030.
- Nienartowicz M., Strek T. International Center Numerical Methods Engineering, Gran Capitan, Barcelona, Spain, 2014, рр. 593–604.
- Ferguson Z., Williams F. Topology Optimization with FEniCS. Final project for CSCI-GA.2420: Numerical Methods II at New York University, May 3, 2018, https://libraries.io/github/zfergus/fenics-topopt.
