The current innovative technical approach has involved the use of advanced computer-assisted design and structure optimization systems. Widely developed computer modelling has accounted for complex loads in facilities and economic and ecological issues, and it has been focused on minimizing the factors that could harm the environment in the course of the construction of a technical facility. The approach fails to guarantee sufficient safety, which is demonstrated by the continuing occurrence of unpredicted failures and catastrophes. There are also many examples of catastrophic events in sea and rail transportation that could seriously affect not only people directly connected with the transportation system but also the surrounding environment. The optimal means of failure/damage risk assessment can be estimated on the basis of the current technical condition of the analysed object. This possibility is offered by the research presented in this paper, which clearly leads to the development of a diagnostic model for a passive magnetic method to determine the state of stress and effort of a structure. Many materials that could cause a real threat of catastrophe due to fatigue wear, exceeded stress limits or the emergence of plastic deformation has magnetic properties that could affect the local magnetic field. This paper addresses the problems of mathematical modelling and analytical/computational modelling of phenomena for the needs of the diagnosis and detection of diagnostic information regarding the passive magnetic method. Numerical modelling along with laboratory experiments and processing, which agree with Bayesian updating, will be indispensable to optimize the method of detecting diagnostic information for a real-life technical object. The results prove that by introducing dynamics into the system, there exist parameters that must be considered when analysing the changes of the magnetic field of the examined object in the function of its effort and when analysing the global effort of the structure. With the help of a hysteresis model, changes that could be connected with the technical state of the research object can be observed and identified. The proposed diagnostics can be used for any dynamic system in which one can observe magneto-mechanical effects.
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