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A mathematical model of construction of the total mechanical energy of a discrete statically loaded dissipative system in the process of free oscillations in the form the time analysis method, which is based on the study of the characteristic quadratic matrix equation, was given. The features of the behavior of the parameters of the dynamic response when the elastic structurally nonlinear system to a new state was shown. It is also given the expressions to determine the kinematic (displacements, velocities, accelerations) and force (restoring, dissipative and inertial forces) parameters of the dynamic response. The criteria for assessing the load bearing capacity of the structure at the non-linear operation was suggested. Using a mathematical model is illustrated by the example of the calculation of flat steel statically indeterminate roof truss during the process of free oscillations, which was caused by a sudden failure of one of the bearing elements. Turning off the rod caused by the loss of strength as a result of chemical cracking due to corrosion effect.

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One of the fundamental principles of the Land Law is in a certain classification of lands into categories according to their target use. This classification allows determining legal regime of the lands, based on their belonging to a certain category and their permitted use in accordance with the territorial zoning and with determined legislative requirements. The goal of this principle is to use a land plot strictly in accordance with its permitted use. Neglecting the permitted use of a land plot leads to breaking the law and might consequentially lead to expropriation of a capital construction object; this is one side of this aspect. Another one is in violation of the principle of urban development, according to which construction of objects is carried out on the basis of land-use planning documents, land use and development rules, and documents on land planning.

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