The paper presents a simultaneous numerical analysis of the geometric and material nonlinearity of the beams. It describes a process of determining the bearing capacity of a stratified cross-section of a beam made of homogeneous and isotropic material in linear and nonlinear domains of material behaviour. Material nonlinearity is analysed by the variation of the cross-sectional stiffness of the beam on bending EI in the stiffness matrix of the system obtained according to the first-order theory. Geometric nonlinearity is introduced into the calculation using the geometric stiffness matrix of the system. Numerical examples present an application of the procedure for solving problems of nonlinear structure analysis. The calculation results obtained in accordance with the procedure described in the paper are compared with the results of the SCIA software package.
Parallel programming is a form of computation in which the calculations are carried out simultaneously, operating on the principle where large problems can be divided into smaller, which are then solved in parallel. Most common this programming is used in high performance computing, but due to the physical constraints which prevent frequency scaling the interest is even higher. As computers consumption has become a problem in the recent years, the parallel programming has grown into the dominant paradigm in computer architecture, mainly in the form of multicore processors. The paper shows the process of designing parallel programs and it includes some results obtained by testing the parallel programming performance of different nVIDIA GeForce graphics cards. The purpose of the test is to compare performance of several types of GPUs for various applications. The results of the test could not specifically say which GPU is best due to the different features of the cards, but they can be used to determine which card offers better performances for different parts of the tests.
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