Dynamic Response Reanalysis Of Nonlinear Rotor Structure System

By using nonlinear algebraic equations,differential equations or differential equations to describe,the motion differential equation of structure can be obtained.Nonlinear rotor structure is based ontheory research,nonlinear rotor structure vibration properties can be explained.It is the most important method to solve the differential equation of vibration.Firstly,This paper introducesapproximatesolving method based on the zero-order nonlinear dynamic response of rotor structures.It also introduces the arthmetical operation for the linear rotor differential equations based on complete Newmark re-analysis algorithm,we use Newmark arithmetic operation to make the equivalent stiffness matrix become symmetrical Working out the system response the zero order approximate solution of the nonlinear rotor structure.This method is only limited to treating the linear system of symmetry matrix.This paper useapply Epsilon algorithm to analysis problems of nonlinear dynamic response of rotor structure of the non-symmetricalspecial matrix,furtherputs forward dynamic responseanalysis of the nonlinear rotor structure based on Epsilon algorithm,in the similar way the arthmetical operation for the linear rotor differential equations based on complete Newmark re-analysis algorithm.We use Newmark arithmetic operation to make the equivalent stiffness matrix become symmetrical,equivalent stiffness matrix is transformed into the formsimilar to Neumann serial vector,Finally,in Epsilon table algorithm,when n=4,we select the last even number line in the Epsilon table algorithmas the displacement approximate of solutiondynamicresponse of nonlinear rotor structure system.The application of MATLAB advanced language programming software,the solving code ofthe zero-order nonlinear dynamic response of rotor structuresbased on Newmark algorithm and nonlinear dynamic response of rotor structuresbased on Epsilon algorithm have been successfully performed.Finally we use the numerical exampleof nonlinear structure rotor model,with 2 degree of freedom,a gyroscopic force, inertial force and nonlinear elastic force of shaft to verify the effectiveness of the article proposed method.