First Passage Of Rectangular Plate In Electromagnetic Coupling Field

The theory of electromagnetic coupling is a new subject.With the development of science and technology,the application of electromagnetic field is more and more extensive.The first passage problem is a new problem emerged in recent years,and it is also an important part in the research field of random vibration,because there are a lot of first passage failure problem in practical engineering,so in recent years has gradually attracted people's attention,and more and more people began to study the first passage problem.So far,there have been some achievements,but because of the difficulty of their research,so there has not been a perfect theory and method and system to study,so the study of first passage problem has a strong theoretical and practical significance.Rectangular plate is widely used in practical engineering,so people started very early research on it,so far there have been many research achievements,but mainly concentrated in the aspects of the board and chaos of the stability and bifurcation of the rectangular plate of the first crossing problem research rarely,research for the first time through the the electromagnetic coupling field of thin plate is more scarce.This paper first introduces the basic theory and research method for the first time through the problem,then a random vibration model and random vibration equation and elastic mechanics is established by magnetic thin rectangular plate,and then use the Galerkin method for Hamiltonian equations,treated with stochastic averaging method,the drift and diffusion coefficients calculated related,then substituting after the Karl equations into the region,because the first passage problem of the analytical solution is difficult to accurately calculate,so numerical simulation is carried out by Matlab,the reliability function and conditions under different boundary conditions the system failure probability density map,and carries on the analysis,finally get the conclusions on the system for the first time through the.rectangular thin plate.