Open AccessNON-LINEAR FINITE ELEMENT ANALYSIS OF DYNAMIC PROBLEMS
Author(s) -
Ohunene Hafsa Aliyu,
AA Salihu
Publication year - 2021
Publication title -
international journal of engineering technologies and management research
Language(s) - English
Resource type - Journals
ISSN - 2454-1907
DOI - 10.29121/ijetmr.v8.i4.2021.926
Subject(s) - finite element method , deflection (physics) , rotation (mathematics) , beam (structure) , newton's method , structural engineering , mechanics , mathematics , nonlinear system , physics , engineering , classical mechanics , geometry , quantum mechanics
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.