Discrete Time Transfer Matrix Method Of Multibody System And Its Application In Shipboard Gun Dynamics

By combining the numerical integral method, the conventional transfer matrix method that can not be applied in the time varying or nonlinear problems is expanded into the nonlinear multibody system dynamics in this paper. The basic theory of discrete time transfer matrix method (DT-TMM) of multibody system is proposed primarily. And this method is applied successfully in the launch dynamics of the shipboard gun multibody system including rigid body and elastic body.In contrast with other conventional multibody system dynamics method, DT-TMM has following characteristics: 1. The overall dynamic equations for a multibody system are not necessary to establish, and the application and computing are done conveniently. 2. The transfer matrix library of multifarious elements can be established in advance. According to the structure of the multibody system, the overall system transfer matrix can be got like fitting the building block. The dynamic characteristics of the multibody system can be gotten easily and conveniently. 3. DT-TMM can be applied in the linear time invariant, time varying or nonlinear multibody system dynamic problems.