Study On Transfer Matrix Method For Multibody System Dynamics And Its Application In Launch Dynamics

Multibody system dynamics has grown in the past decades to be an important tool in the design and simulation of mechanical systems. This is especially true in the area of aviation, spaceflight, vehicle, biomechanics, robot, exact mechanism and weapons system. The simulation of multibody system dynamics has been explored by more and more researchers and engineers who have proposed lots of novel effective methods for multibody system dynamics in theory and computation. In general, almost all the methods divide the process of multibody system dynamics simulation into two parts: first it is to develop the dynamic equations of global system, and then by the numerical integrated methods the dynamic equations are resolved. Since the different dynamics methods such as Newton-Euler method, Lagrange's equations and other methods can be used to develop the dynamic equations of global system, the two different forms of the dynamic equations are ordinary differential equations and differential algebra equations.On the basis of transfer matrix method of multibody system, transfer matrices of multibody system components with small special motion, such as spring, lumped mass, rigid bodies, nonhomogeneous Eular beam, can be deduced in this investigation. Then description method of graphics theory can be introduced into transfer matrix method for linear multibody system. Regulation and breadth-first coding principle can be used to describe topology structure of multibody system. And the similar relationship between global system transfer matrix structure and topology structure can be found. This relationship can be used to develop global system transfer matrix for chain, branched and network system conveniently. The dynamical equations of the components and numerical integrated method can be combined to deduce discrete time transfer matrix of planar rigid body, planar Eular beam and the hinge connected them, special rigid body, special Eular beam and the hinge connected them. These can be used to form the primary library of discrete time transfer matrix method for multibody system dynamics (MS-DT-TMM). Some numerical example will be given to validate proposed method. Finite segment discrete time transfer matrix method for nonlinear beam can be proposed by combining finite segment method and MS-DT-TMM. The method combines the advantages of finite segment method of geometrical nonlinear large deformation analysis and automatic considering dynamic stiffness terms in control equation, and the characteristic of MS-DT-TMM of flexibly and conveniently modeling. MS-DT-TMM and Riccati transform have been fused to create a Riccati discrete time transfer matrix method for...