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.
Highlights
ResultsThe beam suffered an initial vertical downward deflection of 27.7mm from the impactor load as well as a joint rotation of 20
The analysis of damage in materials and structures subjected to dynamic loadings such as blast, impacts, earthquake, fire and so on, is considered crucial
In a pursuit to analyse non-linear dynamic problems the framework for the displacement based finite element method was introduced where material and geometric non-linearity had been considered
Summary
The beam suffered an initial vertical downward deflection of 27.7mm from the impactor load as well as a joint rotation of 20. 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
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