4 Literature review and problem statementWorld practice of designing and operation of metal corrugated structures demonstrates that a decisive influence on the stressed-strained state of MCS is exerted by the degree of compaction of soil backfill [1][2][3]. Recommended compaction should reach the degree of 0.95-0.97. However, paper [1] indicated that the reduction of soil compaction even from 0.95 to 0.8 leads to the reduction of soil deformation module by 4 times, which, in turn, is the cause of significant growth of stresses and strains in the walls of the structure.Conducting a long-term monitoring of more than 900 objects from corrugated pipes, constructed from 1951 to 1965 in the state of Ohio (USA) [4,5] made it possible to draw the following conclusion: in all cases, for the designs that did not experience destruction, large deformations accounted for 22-34 %; for the structures that suffered damage, such 4

The dynamic process of the railway track–rolling stock interaction is characterized by time-dependent dynamics that are determined by both the varying characteristics of the interaction objects and the varying climatic conditions. This study investigated the effect of different groups of influence on the dynamic process, with a view towards the reduction of the cases of randomness during the registration of the process in experiments and an expansion of the understanding of the processes happening during the assessment of the registered data. The static nature of the rolling stock has been demonstrated to be not uniform and to influence the scattering of dynamic values under the variation of vertical and horizontal forces due to the characteristics of a rolling stock. The position of the rolling stock truck relative to the track axis during the movement of the rolling stock has been shown to enhance static non-uniformity. The results of the longitudinal force measurements under the three-point and Schlumpf methods have suggested that it is necessary to investigate the process of rail warping under the action of the rolling stock wheels. To enhance the output of the experiments, it is proposed to consider not only the stiffness of the basis of the oscillatory processes that imitate the physical process of oscillation of the system elements by means of the oscillation amplitude, but also the time of response to the oscillation process by using and assessing the triggering time rather than the frequencies of the oscillation processes.

The development of reliability theory has led to the setting of tasks requiring consideration of the efficiency and functional safety of technical objects of transport over the life cycle. The paper demonstrates the possibility of using the universal laws of elastic wave theory to describe natural phenomena occurring in complex dynamic systems, on the examples of solving issues arising in the interaction of rolling stock and the railway track. The accounting of the time component and the ability of elastic waves to propagate energy in time and space allowed considering any interaction process as a chain of processes, incidence-reflection-refraction of force impulses of interaction. Understanding the physics of dynamic processes that occur in objects while performing their intended functions allows developers to improve objects in such a way as to minimize their life cycle cost and maximize their ability to perform their intended functions under different operating conditions. In addition, it allows the expansion of existing methods and approaches to diagnostics of dynamic transport systems. All this is a base for making it possible to develop an innovative and effective tool for engineers and scientists to assess the impact of technosphere transport objects on human habitats.

Для оцінки роботи залізничної колії з умов її надійної та функціонально-безпечної роботи створено алгоритм роз-рахунку динамічних процесів зміни деформативності колії. Запропоновано передачу динамічних навантажень описати шляхом передачі імпульсів. Наведено особливості передачі динамічного навантаження від рухомого складу: два види час-тот, змінну направленість в часі та зв'язок між амплітудами коливань при переході з одного елементу в інший Ключові слова: динамічне навантаження, амплітуда коли-вань, частота збудження імпульсом сили, розповсюдження коливань Для оценки работы железнодорожного пути из условий его надежной и функционально безопасной работы создан алго-ритм расчета динамических процессов изменения деформа-тивности пути. Предложено передачу динамических нагрузок описать путем передачи импульсов. Приведены особенности передачи динамической нагрузки от подвижного состава: два вида частот, переменную направленность во времени и связь между амплитудами колебаний при переходе из одного эле-мента в другой Ключевые слова: динамическая нагрузка, амплитуда коле-баний, частота воздействия импульсом силы, распростране-ния колебаний

The ability to assess the risks of the functional safety of railway tracks allows harmonizing characteristics of track elements under certain operating conditions under certain maintenance for the efficient use of the track structure throughout its life cycle. The concept of detailing conditions of the interaction of the rolling stock and railway track was used for the productive solution of tasks of infrastructure functional safety assessment. The paper formed an approach to the analytical solution of determination problems of deformability parameters over time using the elastic waves theory. The formation method of interconnections between the technical and economic aspects of the operation of railway infrastructure was proposed. The criteria of deformability work and intensity of use were utilized for the effective use of the track structure through its life cycle. The results of calculations are presented to assess changes in the deformability behaviour of the track elements and structure when the force and speed parameters of the operating conditions change, as well as the algorithm of the method for estimating the operation deformability of the railway track. Thus, the proposed approach can be adapted to optimize objects by railway functional safety assessment at the stage of object operation simulation.