Abstract-The main issue addressed in this article is the lays out of truck mounted howitzer free vibration theory as a continuous interconnected multi-body rigid model in spatial coordinates. The mathematical modeling is developed by the method of the first kind of Lagrange's equations based on the weapon system discretization techniques. Searching for the eigen vibration characteristics, the characteristic equation is solved based on the derived mathematical model. This simulation numerical result is validated by certain comparative experimental works. Finally, the sensitivity analysis by using random optimization theory is applied on the simulation model in order to find the weapon system optimal design layout. This study shows a new spatial investigation applied on truck mounted howitzer. In addition, the sensitivity analysis compels the designer to identify the critical variables affect the vibration behavior of this artilary weapon system.
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