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

In many industrial applications, complex mechanical systems can often be described by multibody systems (MBS) that interact with electrical, flowing, elastic structures, and other subsystems. Efficient, precise dynamic analysis for such coupled mechanical systems has become a research focus in the field of MBS dynamics. In this paper, a coupled self-propelled artillery system (SPAS) is examined as an example, and the discrete time transfer matrix method of MBS and multirate time integration algorithm are used to study the dynamics and cosimulation of coupled mechanical systems. The global error and computational stability of the proposed method are discussed. Finally, the dynamic simulation of a SPAS is given to validate the method. This method does not need the global dynamic equations and has a low-order system matrix, and, therefore, exhibits high computational efficiency. The proposed method has advantages for dynamic design of complex mechanical systems and can be extended to other coupled systems in a straightforward manner.

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A Rapid Gun Firing Correction Algorithm Using Discrete Time Transfer Matrix Method

International Conference on Aerospace Sciences and Aviation Technology ◽

10.21608/asat.2015.23008 ◽

2015 ◽

Vol 16 (AEROSPACE SCIENCES) ◽

pp. 1-13

Author(s):

Mostafa Khalil ◽

Xiaoting Rui ◽

Hossam Hendy

Keyword(s):

Transfer Matrix ◽

Discrete Time ◽

Transfer Matrix Method ◽

Matrix Method ◽

Correction Algorithm ◽

Time Transfer ◽

Gun Firing

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Multibody System Discrete Time Transfer Matrix Method for Nonlinear Shear Dynamic analysis of Immersed Tunnels

E3S Web of Conferences ◽

10.1051/e3sconf/202123602035 ◽

2021 ◽

Vol 236 ◽

pp. 02035

Author(s):

Zhongyuan Shen ◽

Xue Bai

Keyword(s):

Dynamic Response ◽

Transfer Matrix ◽

Discrete Time ◽

Transfer Matrix Method ◽

Matrix Method ◽

Multibody System ◽

Dynamic Stiffness ◽

Response Analysis ◽

Time Transfer ◽

Shear Response

Shear seismic response analysis is critical for seismic design of immersed tunnels. According to the structural characters of immersed tunnels and shear dynamic response of their joints, a multibody dynamic model consisting of multi-rigid body, shear hinge, and viscous damping hinge is proposed for shear response analysis, in which the dynamic stiffness of the shear hinge is divided into two stages based on a threshold. Following the discrete time transfer matrix method for multibody system dynamics (MS-DT-TMM), the mechanical model and mathematical expression of each tunnel element is derived first and then assembled for the whole tunnel system. A solution procedure is proposed to solve the shear dynamic response of immersed tunnels using the proposed multibody system model. It is shown that the MS-DT-TMM has the same computational accuracy as the finite element method (FEM) and the modeling process is more efficient and flexible when compared to FEM. Although the MS-DT-TMM discussed herein is only applied to shear response analysis, it can easily be extended to analyze axial force and bending moment of immersed tunnels leading to a complete, rapid yet accurate enough seismic analysis of immersed tunnels suitable for engineering practices.

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