Dynamics design for multiple launch rocket system using transfer matrix method for multibody system

Abstract

Dynamics design for complex mechanical systems has become an important research field and development direction at present, capturing attentions of an increasing number of engineers and scientists worldwide. Based on many advantages of the transfer matrix method for multibody system in studying multibody system dynamics, a design problem of a multiple launch rocket system is solved in this paper. Particular attention is addressed to model actions of the exhaust flow on the multiple rocket launcher, which are associated with firing order and firing intervals of rockets. Combined with a genetic algorithm, firing order and firing intervals are optimized to achieve optimum impact point dispersion reduction. The results of numerical simulation and verification tests show good agreement, while the dispersion characteristics of rockets have been improved in a low-cost way.

Direct differentiation method for sensitivity analysis based on transfer matrix method for multibody systems

“…where U 4 and U 2 can be obtained by transfer matrix in plane and U 3 and U 1 can be obtained by smooth hinge in plane.…”

“…In 1989, Rui and others extended the transfer matrix method to multibody systems (MSTMM) for vibration analysis of linear multi‐rigid‐flexible‐body systems by developing new transfer matrices . Moreover, MSTMM has been used in analysis of launch dynamics of tanks and multiple launch rocket system (MLRS) . The global dynamics equation of the system is not required by this method, which achieves a higher computing speed and small computational scale.…”

“…3 Moreover, MSTMM has been used in analysis of launch dynamics of tanks and multiple launch rocket system (MLRS). 4,5 The global dynamics equation of the system is not required by this method, which achieves a higher computing speed and small computational scale. The linear matrix method for multibody systems is efficient for linear multibody systems.…”

Measurement of projectile’s in-bore yaw based on the optical lever principle

“…in short) is introduced, as shown in Figure 1. With respect to the inertial frameẽ 1 , the translation of the projectile may be described by…”

“…Orientations of projectiles emerging from the gun muzzle, as initial conditions for the free flight phase, have a major impact on their final dispersion. [1][2][3] The initial disturbance of a projectile is a consequence of gun/projectile/propellant interactions during the launching process. Thus the impact of gun dynamic characteristics on the firing dispersion can only be indicated by the initial disturbance.…”