NON-CONSERVATIVE PROBLEMS OF THE STABILITY OF BAR STRUCTURES

An algorithm for the use of numerical-analytic version of boundary element method (MGE) for solving the problems of stability of non-conservative bar systems such as continuous beams and plane frames is presented. The aim of this work is to learn the behavior of complex mechanical systems, loaded with non-conservative compressive forces. Similar problems occur in heavily loaded structures and their behavior is of great scientific and practical importance. Dynamic method and algorithm of MGE are applied in solving the non-conservative stability problems. It is shown that the behavior of complex systems under the action of the bar non-conservative compressive forces are qualitatively different from the behavior of individual bars and beams. The results of the work complement and extend the knowledge about the behavior of different designs that can be used in such design solutions as high-pressure pipelines, machine building, aerospace, shipbuilding, rocket, on drilling rigs, etc. Calculations of the critical forces are made in the MATLAB environment.