The Mechanics Analytic Calculation For The Rail And Panels Of Rectangle Electromagnetic Railgun

The researches of electromagnetic rail gun can be separated into three fields:electromagnetic effect, mechanics effect and new materials. In the field of mechanicseffect, it was mainly analyzed in component strength, rigidity and dynamic response of theelectromagnetic rail gun. However, it is worth pointing out that the present rail gun is toomuch heavy and big. One of the reasons is that the calculative researches about componentstrength and rigidity are still superficial, and far away from practical demand, obviously itgoes against the design and manufacture of rail gun components. Therefore, thistechnology has become one of the urgent problems in practical application. According tothe current application situation, this article focuses on the key components ofelectromagnetic rail gun: the theoretical analysis of rail and panels’ strength, rigidity anddynamic response of electromagnetic rail gun in the state of launching. It is to supplycalculation methods and technical support for extending its service life, increasinglaunching accuracy and the related design and manufacture, and to improve the practicalprogress of electromagnetic rail gun.This paper mainly studies the following three aspects.1. In statics，the mechanical model of bi-layer elastic foundation beams is establishedfirst, and the flexural differential equation of rail (up beam) and panels (down beam) isalso established; by constructing16Generalized Krylov Function, and adopting unit initialparameter method, Generalized Krylov Function is confirmed respectively， thus theanalytic solutions of the rail and panels’ deflection、 bending moment stress are made.Finally, the calculative samples analysis indicates that rigidity and elastic constantbetween the layers are the key factors which determined the rail and panels’ strain andstress.2. In dynamic response， the dynamic balance equation of the bi-layer elasticfoundation beams is established first；according to the boundary restraint conditions, andby adopting Dirac function and Heaviside function synchronous moving load concentratedload equally distributed load，the displacement and stress analytical solution of rail (up beam) and panels (down beam) is collected, and are compared with the ANSYS result；the last part is the calculative samples analysis of the dynamic response of bi-layer elasticfoundation beams on the base of given motion parameter and structural parameter.3.In the system parameter influence analysis，the comparison between the stress stateand the dynamic response of the rail gun system’s parameters indicates：rail thickness h1,panels thickness h2, constant c1and panels’ foundation constant c2are the main parameterswhich impact the bi-layer beams most on stress state, and the expectant stress state can beobtained by optimizing these parameters； meanwhile, rail width H1, rail thickness h1,panels thickness h2, foundation constant c1and armature moving speed v are the mainparameters which impact the bi-layer beams most on dynamic response, the expectantdynamic response of the system can be obtained by optimizing these parameters.The results above can provide computational methods and technical supports for thedesign and manufacture of electromagnetic rail gun, which may promote the practicalprogress of electromagnetic rail gun.The findings of this article display a kind of effective methods to get analyticalsolution of bi-layer elastic foundation beam’s mechanics analysis. Meanwhile, theanalytical solution of bi-layer elastic foundation beam’s dynamic response derived fromthe article can lay a foundation for electromagnetic rail gun’s dynamic response andsupply calculative reference for the engineering design of the related bi-layer elasticfoundation beam.