Discrete time transfer matrix method for dynamics analysis of complex weapon systems

Abstract

Efficient, precise dynamic modeling and analysis for complex weapon systems have become more and more important in their dynamic design and performance optimizing. As a new method developed in recent years, the discrete time transfer matrix method of multibody system is highly efficient for multibody system dynamics. In this paper, taking a shipboard gun system as an example, by deducing some new transfer equations of elements, the discrete time transfer matrix method of multibody system is used to solve the dynamics problems of complex rigid-flexible coupling weapon systems successfully. This method does not need the global dynamic equations of system and has the low order of system matrix, high computational efficiency. The proposed method has advantages for dynamic design of complex weapon systems, and can be carried over straightforwardly to other complex mechanical systems. multibody system dynamics, transfer matrix method, shipboard gun, finite element Citation:Rui X T, Rong B, Wang G P, et al. Discrete time transfer matrix method for dynamics analysis of complex weapon systems.

Research on the rigid-flexible multibody dynamics of concrete placing boom

“…All transfer matrix U α (α is element's ID) in this article can be found in Refs. [16][17][18][19][20][21][22][23]. The transfer equations of each branch in substructure A are…”

“…Then the method was gradually developed for rigid-flexible multibody dynamics [17][18]. Due to the advantage of computational efficiency, this method was applied to many mechanical engineering fields, such as shipboard gun system [19] and self-propelled artillery system [20]. Li developed a computing method to improve the accuracy [21].…”

Projectile Impact Point Prediction Based on Self-Propelled Artillery Dynamics and Doppler Radar Measurements

“…The ground (0) is regarded as an infinity rigid body and the first input point, the gun breech (44) is regarded as rigid body and the second input point, and the muzzle (52) is the output point. The road wheels (13)(14)(15)(16)(17)(18)(19)(20)(21)(22)(23)(24) are regarded as lumped masses. The hull (37), revolving part (39), elevating part (41), and muzzle brake (51) are regarded as rigid bodies; the barrel is divided into 6 segments (45-50) and each is regarded as a beam with equal sectional area.…”

“…This method had been applied to a Multiple Rocket System as a linear multi-rigid-flexible-body system. In 2011, the dynamics problem of a shipboard gun system had been solved [14] using the discrete time transfer matrix method of multibody system MSDTTMM [15].…”

Study on Launch Dynamics of Self-Propelled Artillery Based on Transfer Matrix Method of Multibody System

“…However, when calculating natural vibration characteristics of weapons for complex multirigid-flexible body system containing rigid and flexible bodies using these methods, it faces the difficulties that computational scale is large and it is easy to result in computation singularity caused by computation ill-condition. To meet the requirement of accurate dynamics modeling of launch dynamics and fast calculation, Rui et al presented transfer matrix method for multibody systems [2,[10][11][12][13][14][15][16][17][18][19][20]. Due to the important feature that order of the overall transfer matrix is very low, MSTMM avoids eigenvalue computation ill-condition for complex multi-rigid-flexible body system, which significantly improves the computational speed of vibration characteristics and is successfully applied to many engineering design and test of various types of vehicles, airborne, and ship-borne weapons [1,2,4].…”