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Research Papers

Discrete Time Transfer Matrix Method for Launch Dynamics Modeling and Cosimulation of Self-Propelled Artillery System

[+] Author and Article Information
Bao Rong

Institute of Launch Dynamics,
Nanjing University of Science and Technology,
Nanjing, P.R. China, 210094;
Nanchang Military Academy,
Nanchang, P.R. China, 330103
e-mail: rongbao_nust@sina.com

Xiaoting Rui

Institute of Launch Dynamics,
Nanjing University of Science and Technology,
Nanjing, P.R. China, 210094
e-mail: ruixt@163.net

Ling Tao

Institute of Plasma Physics,
Chinese Academy of Sciences (ASIPP),
Hefei, P.R. China, 230031
e-mail: palytao@ipp.ac.cn

1Corresponding author.

Manuscript received October 14, 2011; final manuscript received May 4, 2012; accepted manuscript posted online May 18, 2012; published online October 29, 2012. Assoc. Editor: Bo S. G. Janzon.

J. Appl. Mech 80(1), 011008 (Oct 29, 2012) (9 pages) Paper No: JAM-11-1383; doi: 10.1115/1.4006869 History: Received October 14, 2011; Revised May 04, 2012; Accepted May 18, 2012

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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Figures

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Fig. 1

Dynamic model of self-propelled artillery system

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Fig. 2

Position description of arbitrary point on gun tube

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Fig. 3

Dynamic model of a translational hinge

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Fig. 4

Dynamic model of projectile moving in gun tube

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Fig. 5

Sketch map of multirate method in time interval [ti-1,ti]

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Fig. 6

Test problem: mathematical pendulum coupled to an oscillator

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Fig. 7

Error of time integration methods in the nonstiff case, t∈[0s,8s]

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Fig. 8

Error of time integration methods in the stiff case, t∈[0s,0.3s]

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Fig. 9

Time history of recoil displacement and muzzle displacement

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Fig. 10

Time history of elevation yaw angle of projectile

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