Abstract
A formulation of the displacement based finite element method as well as the incremental analysis procedure which is considered suitable for analysis of non-linear dynamic problems is presented. The presented framework is used to investigate the influence of joint rotation on the failure of steel beam subject to high-speed impact load. The results from the non-linear numerical simulation are compared with those obtained from an analytical technique.
Method: The non-linear Full Newton Raphson method was used for the simulation and results obtained were verified analytically using the energy momentum balance technique.
Results: The beam suffered an initial vertical downward deflection of 27.7mm from the impactor load as well as a joint rotation of 〖 2〗^0.
Findings: From the results obtained the beam was considered to have failed due to excessive rotation. Similarly, from the comparism made between the analytical and non-linear numerical simulation results, it was concluded that the full Newton Raphson technique gave accurate results in simulating the dynamic problem which was achieved at an affordable cost.
Publisher
Granthaalayah Publications and Printers
Reference15 articles.
1. Aliyu, OH. Design Recommendations for Steel Beams to Prevent Brittle Fracture. Nigerian Journal of Technologycal Development, 16 (2), 2019, 78-84.
2. Aliyu, OH. A Review on Mechnics of Impacts on Steel Plates. Journal of Engieering Research, Special Edition, 24(1), 2019, 11-28
3. Belytschko, T., Liu, WK., Moran, B., Elkhoday, K I. Nonlinear Finite Element for Continuua and Structures. Second Edition ed. West Sussex United Kingdom: John Wiely and Sons. 2014.
4. Stein, E. Progress in Computational Analysis of Inelastic Structures. New York. Springer 1993.
5. Laursen, AT. Computational Contact and Impact Mechanics 2nd Edition. Springer U.S.A, 2003.