The Deformation Calculation And Dynamic Response Analysis Of The Guns Launch Subjected To Different Load Pressure

The electromagnetic launching technology becomes increasingly important inmodern scientific researches. As a high-precision weapon, the need of practical applicationputs forward higher requirements. The electromagnetic launch system needs to be betterperformance and higher precision. Therefore, to study the new methods of calculation,simplify the calculation process and improve the calculation accuracy are very meaningfulto optimize the system and improve its safety and reliability, even to speed up itsapplication and extension.This paper mainly studied the deformation calculation and effect factors of the launchtrajectory and gun barrel subjected to different load pressure. Then the analysis ofexamples and experimental verification are done by using MATLAB software, and theconclusions are reached.Firstly, the article introduces the electromagnetic launch rail device’s workingprinciple, model and the methods of solving analytical solution which establishestheoretical foundation on solving the following differential equations.Secondly, the analytical solution of control equation subjected to different loadpressure is obtained through Galerkin method and Sturn-Liouville expansion. Numericalresult of the dynamic response of rail has been done by MATLAB software. Then itemphatically analyzes the main influence factors such as the elastic coefficient, the load’svelocity, the damping coefficient and the mass of rail. Through comparison, it canconclude that the analytical solution by Galerkin method is equally significant andvaluable as Lagrange equation method. Furthermore, it can improve calculation speed andreduce errors.Again, a stress function which meets both the biharmonic equations and boundaryconditions is constructed. The analytical solution of the electromagnetic gun tube underquadratic function distribution pressure is obtained. The limit of guns infinite long tube isfamous Lamè formula.Finally, the experimental results are in accord with the theoretic calculation when strain values of a barrel are recorded by static strain tester on REG-III electromagneticlauncher’s barrel. Comparing with the results of the theoretical calculations, they fit verywell.