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A mathematical model for the calculation of the discrete dissipative system total mechanical energy during free oscillations based on the method of time analysis was given. The features of this parameter behavior (jumps, asymptotes) for elastic structurally nonlinear systems were shown. A possible usage of the mathematical model is illustrated by the calculation of flat steel roof truss during oscillations caused by a sudden failure of one of the bearing elements due to corrosion effects

Research of Total Mechanical Energy of Steel Roof Truss during Structurally Nonlinear Oscillations