Estimation of error in the digital modeling of vibration effects on onboard radio electronic equipment

The destructive effect of external vibrations on radio electronic equipment installed on moving objects is analyzed. The authors substantiate the relevance of digital vibration modeling aimed at long-term prediction of defect formation and development in onboard radio electronic equipment. Vibration impacts are considered from two points of view: as a factor in equipment destruction and as an information signal reporting the nature and degree of this destruction. With the increasing complexity of the equipment, the requirements for the adequacy of models and methods for estimating the modeling error are noted to increase as well. Digital modeling uses matrices that are based on the equilibrium equations of elasticity theory; these matrices are used to calculate the Lamé coefficients and to establish boundary conditions. An explicit difference scheme is obtained for the numerical solution of the system of equilibrium equations of elasticity theory. Factors affecting the modeling error are identified. The principles for calculating the vibration modeling error are formulated. The article presents and justifies the functionals linking the amplitude error of modeling to the vibration velocity in the analyzed medium and to the number of nodes of the discrete model for each projection of the vibration propagation vector. A specific numerical example shows how these functionals provide a means to solve optimization problems. The obtained results can be applied in the vibration monitoring of radio electronic equipment in order to detect latent defects.