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The paper considers an estimation of a complicated mechanical system condition in dynamics with due account of material degradation and accumulation of micro-damages. An element of continuous medium has been simulated and described with the help of a discrete element. The paper contains description of a model for determination of mechanical system longevity in accordance with number of cycles and operational period.

A methodology has been developed which allows to calculate predictable enterprise requirements for skilled staff with the purpose to ensure a normal functioning of its production process and also to determine changes of its staff structure in case of the production development and usage of innovations in production.

Empirical dependences for calculating reliability and mass of an aviation engine are obtained with the help of a regression analysis method and test of the obtained expression adequacy has been carried as well.A model for degradation of the effective, elastic and heat-conducting material properties of engine parts due to spreading growth in physical and mechanical properties in comparison with data-sheet values in the process of operation without continuity violation has been developed and described in the paper. The paper also presents a model for emergence and accumulation of such damages as micro-pores, micro-cracks. The paper evaluates a critical concentration of damages with due account of a percolation theory at which a cluster-crack is formed in some local space.

A methodology for obtaining an empirical dependence which is used for determination of combustion chamber resource in turboshaft engines has been developed with the help of a plural linear regression method. Using this equation it is possible to determine combustion chamber resource with minimum time, intellectual and material expenses and with an error order of 5 %.