Estimation of the error of digital modeling of vibration ef ects on onboard radio-electronic equipment

Abstract

An analysis of the destructive effect of external vibrations on radio-electronic equipment located on moving objects was carried out. The relevance of digital modeling of vibration impacts, aimed at long-term forecasting of the processes of origin and development of defects in on-board radio-electronic equipment, is substantiated. Vibration effects are considered from two points of view: on the one hand, as a factor in the destruction of equipment, on the other, as an informative signal indicating the nature and extent of this destruction. As equipment becomes more complex, the requirements for the adequacy of models and methods for assessing modeling errors increase. Digital modeling uses matrices constructed based on the equilibrium equations of elasticity theory. Based on these matrices, Lame coeffi cients are calculated and boundary conditions are formed. In the article, an explicit difference scheme is obtained, intended for the numerical solution of the system of equilibrium equations of the theory of elasticity. Factors infl uencing the modeling error have been identifi ed. The principles for calculating the vibration modeling error are formulated. Functionals are presented and justifi ed that connect the amplitude modeling error with the speed of vibration propagation in the medium under study and with the number of nodes of the discrete model for each projection of the vibration wave propagation vector. A specifi c numerical example shows how these functionals allow solving optimization problems.