Methodology for modeling oscillations of a moving beam using the Project Chrono library
| Authors: Dergachev S.A. | Published: 06.03.2026 |
| Published in issue: #3(792)/2026 | |
| Category: Mechanics | Chapter: Theoretical Mechanics, Machine Dynamics | |
| Keywords: beam structure dynamics, finite element method, Project Chrono, Solid Works Simulation, modeling methodology |
The current task of developing an integral part of a new software package designed to simulate the interaction of elastically deformable structures with the flow of an incompressible medium is being solved. In this paper, a method for modeling the dynamics of a girder structure is developed and verified, designed to solve related problems of hydroelasticity. The algorithm of the technique and the software module implemented in C++ are described, using the open source library Project Chrono, which contains mathematical models and algorithms for solving systems of equations necessary for modeling the dynamics of mechanisms with elastic links. The results of calculations of four model problems are presented in comparison with the results obtained by other mathematical modeling methods such as the analytical solution of free vibrations of a cantilevered beam and the solution of problems using the finite element method in the Solid Works Simulation software package. It is shown that the developed technique ensures numerical convergence of the results of the considered methods with increasing discretization of the computational scheme.
EDN: IGYVOJ, https://elibrary/igyvoj
References
[1] Bungartz H.-J., Schafer M., eds. Fluid-structure interaction. Springer, 2006. 394 p.
[2] Morozov V.I., Ponomarev A.T., Rysev O.V. Matematicheskoe modelirovanie slozhnykh aerouprugikh system [Mathematical modeling of complex aeroelastic systems]. Moscow, Fizmatlit Publ., 1995. 735 p. (In Russ.).
[3] Garbuz M., Klimina L., Samsonov V. Wind driven plantigrade machine capable of moving against the flow. Appl. Math. Model., 2022, vol. 110, pp. 17–27, doi: https://doi.org/10.1016/j.apm.2022.05.035
[4] González E., Yáñez D.J., Del Pozo S. et al. Optimizing bladeless wind turbines: morphological analysis and lock-in range variations. Appl. Sci., 2024, vol. 14, no. 7, art. 2815, doi: https://doi.org/10.3390/app14072815
[5] Shcheglov G.A., Dergachev S.A. Numerical simulation of the mechanism motion dynamics in the incompressible medium flow using the vortex loop method. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [BMSTU Journal of Mechanical Engineering], 2024, no. 1, pp. 21–30. EDN: FQAXEG (in Russ.).
[6] Co-simulation with Hexagon CAE solutions. www.cradle-cfd.com: website. URL: https://www.cradle-cfd.com/product/msc.html (accessed: 19.06.2023)
[7] ProjectChrono. An open source multi-physics simulation engine. projectchrono.org: website. URL:https://projectchrono.org (accessed: 19.06.2023)
[8] Tasora A., Serban R., Mazhar H. et al. Chrono: An open source multi-physics dynamics engine. HPCSE 2015. Springer, 2015, pp. 19–49, doi: https://doi.org/10.1007/978-3-319-40361-8_2
[9] Wei Z., Edge B.L., Dalrymple R.A. et al. Modeling of wave energy converters by GPUSPH and Project Chrono. Ocean Eng., 2019, vol. 183, pp. 332–349, doi: https://doi.org/10.1016/j.oceaneng.2019.04.029
[10] Martínez-Estévez I., Domínguez J.M., Tagliafierro B. et al. Coupling of an SPH-based solver with a multiphysics library. Comput. Phys. Commun., 2023, vol. 283, paper 108581. doi: https://doi.org/10.1016/j.cpc.2022.108581
[11] Tushev O.N., Shcheglov G.A. Numerical simulation of air launch aeroelasticity with random variation of aerodynamic loading parameters. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Mashinostr. [Herald of the Bauman Moscow State Tech. Univ., Mechan. Eng.], 2015, no. 1, pp. 22–34, doi: https://doi.org/10.18698/0236-3941-2015-1-22-34 (in Russ.).
[12] Huynh B.H., Tjahjowidodo T., Zhong Z.W. et al. Nonlinearly enhanced vortex induced vibrations for energy harvesting. IEEE Int. Conf. on AIM, 2015, pp. 91–96, doi: https://doi.org/10.1109/AIM.2015.7222514
[13] Zhukauskas A., Ulinskas R., Katinas V. Gidrodinamika i vibratsiya obtekaemykh puchkov trub [Hydrodynamics and vibration of streamlined bundles of pipes]. Vilnyus, Mosklas Publ., 1984. 312 p. (In Russ.).
[14] Widiyanti, Puspitasari P., Suyetno A. The development of instructional materials mechanics of materials using solidworks simulation software. AIP Conf. Proc., 2016, vol. 1778, art. 030058, doi: https://doi.org/10.1063/1.4965792
[15] Southwell R.V. An introduction to the theory of elasticity for engineers and physicists. Clarendon Press, 1936. 509 p. (Russ. ed.: Vvedenie v teoriyu uprugosti dlya inzhenerov i fizikov. Moscow, Inostrannaya literatura Publ., 1948. 676 p.)