The aim of this paper is to study the dynamical behavior of non-autonomous stochastic lattice systems with Markovian switching. We first show existence of an evolution system of measures of the stochastic system. We then study the pullback (or forward) asymptotic stability in distribution of the evolution system of measures. We finally prove that any limit point of a tight sequence of an evolution system of measures of the stochastic lattice systems must be an evolution system of measures of the corresponding limiting system as the intensity of noise converges zero.In particular, when the coefficients are periodic with respect to time, we show every limit point of a sequence of periodic measures of the stochastic system must be a periodic measure of the limiting system as the noise intensity goes to zero.
Industrial pipeline is generally laid overhead along the pipe gallery. When the pipeline changes from cold state to heat state, the pipeline will have thermal expansion, which will generate thermal displacement and thermal stress. As a kind of heat medium, Steam has been widely used in industrial production. The pipeline has been in service at high temperature for a long time, which is prone to metal material degradation such as graphitization and spheroidization. The accidents of steam pipeline occurred frequently in recent years, so we must pay more attention to the safety of steam pipeline. The traditional inspection method adopts a random sampling model which has the risk of over inspection and missing inspection. This paper introduced the stress analysis of a steam pipeline based on ASME B31.3. Through the software, the model of the pipeline was established. According to the calculation results, a targeted inspection scheme was established and the inspection was more economical and effective
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