A computationally efficient numerical model for a dynamic analysis of beam type structures based on the combined finite‐discrete element method

Abstract

This paper presents a new numerical model for the analysis of beam‐type structures based on the combined finite‐discrete element method. The model uses straight two‐node rotation free finite elements, and takes into account linear‐elastic material behaviour, finite displacements, finite rotations and small strains. The presented numerical model is implemented into the open source finite‐discrete element method package “Yfdem”. Performance of the new numerical model was demonstrated on simple benchmark tests where very good agreement of obtained numerical results with reference solutions was shown. Performed numerical analysis indicates that the presented numerical model is applicable in static, dynamic and stability analyses of beam type structures.

A new robust and computationally efficient numerical model for analysis of beam type structures

“…8. Equivalent nodal forces in nodes A and B are thus given by: (10) Here, μ nor and μ tan are normal and tangential dumping coefficients. The procedure described above is repeated for all finite elements.…”

“…They are usually not established or are even found deficient for different beam configurations. In search for better computational efficiency, there has also been development in rotation-free finite elements [7][8][9][10][11]. These elements manage to remove rotational degrees of freedom by increasing the interpolation domain outside of the area of integration domain, and therefore achieve significant simplification of the initial problem.…”

Numerical simulation of reinforced concrete structures under impact loading

“…Up to date the finite-discrete element method found its application in analysis of many types of structures such as reinforced concrete structures, beam type structures, shell structures etc. [29][30][31][32][33]. The main processes included in the finite-discrete element method are contact detection, contact interaction, finite strain elasticity, as well as fracture and fragmentation.…”