A REVIEW OF COMPUTATIONAL CONTACT MECHANICS USING ISOGEOMETRIC ANALYSIS
Contact mechanics plays a central role in many engineering applications and remains a challenging topic in numerical simulation due to the presence of strong nonlinearities. This paper presents a review of contact formulations developed within the framework of isogeometric analysis (IGA). After outlining classical finite element contact approaches ...
By Snježana Milovanović, Aleksandar Borković, Ognjen Mijatović
A REVIEW OF GEOMETRICALLY EXACT BEAM FORMULATIONS AND THEIR ISOGEOMETRIC IMPLEMENTATIONS: FROM FINITE ROTATIONS TO ISOGEOMETRIC ANALYSIS
This paper presents a review of the development of geometrically exact beam theories for the analysis of large displacements and finite rotations of curved beams. Since finite rotations evolve on the nonlinear manifold 𝑆𝑂(3) rather than in a vector space, their consistent parametrization, interpolation, and update are essential to maintain objectiv...
By Dijana Tatar, Aleksandar Borković
A NOTE ON BEAM-TO-BEAM CONTACT DYNAMICS
Two approaches for beam-to-beam contact modeling are considered in the paper. The first is the classic continuum approach with point-to-point contact discretization. The other is the coarsegrained approach where the physical intermolecular fields are applied for the modeling of interaction of continuous bodies. To describe the contact, the repulsiv...
By Aleksandar Borković, Miloš Jočković, Dijana Tatar, Snježana Milovanović
ISOGEOMETRIC ANALYSIS OF A SPATIALLY CURVED BERNOULLI-EULER BEAM SUBJECTED TO MOVING LOAD
Dynamic analysis of a spatially curved Bernoulli-Euler beam subjected to the moving load is considered in this paper. The isogeometric approach is used for the spatial discretization of the weak form of the equation of motion. Both the reference geometry and the solution space are represented using the same NURBS basis functions that guarantee an a...
By Miloš Jočković, Marija Nefovska-Danilović, Aleksandar Borković
FREE VIBRATION ANALYSIS OF SINGLY CURVED CLAMPED SHELLS USING THE ISOGEOMETRIC FINITE STRIP METHOD
A hybrid method for the spatial discretization of two-dimensional domains is recently derived and applied to the problem of free vibrations of simply-supported singly curved shells. This new method follows from a tensor product of NURBS functions and a carefully selected series that satisfies boundary conditions a priori. The formulation unifies sp...
By Aleksandar Borković, Dijana Majstorović, Snježana Milovanović, Duy Vo
EXPERIMENTAL AND NUMERICAL ANALYSIS OF A SIMPLE FRAME STRUCTURAL MODEL WITH TUNED LIQUID DAMPER
In this paper, a brief overview of damping systems and their operation and analysisprinciples is provided, with emphasis on tuned damping systems of engineeringstructures. The results of the experimental analysis are presented for an aluminum framestructure excited with initial displacement. The measured dynamic parameters(eigenfrequencies and dump...
By Mladen Šiljegović, Marina Latinović, Ognjen Mijatović, Aleksandar Borković, Valentina Golubović Bugarski
SOME NUMERICAL ASPECTS OF A LINEAR STATIC ISOGEOMETRIC ANALYSIS OF AN ARBITRARILY CURVED PLANE BERNOULLI-EULER BEAM
Linear static analysis of arbitrarily curved beams is considered. Metric of a Bernoulli-Euler beam is rigorously defined and the weak form of the corresponding boundary-valueproblem is solved using isogeometric approach. Driving force behind present research isdetail numerical analysis of recently developed model of an arbitrarily curved beam. This...
By Aleksandar Borković, Gligor Radenković