Study On Random Eigenvalue Analysis Method Of Multiple Launch Rocket System

Multiple Launch Rocket System (MLRS) is the lethal weapon in modern warfare which has faster shoot, fierce firepower, far ranges, big concentrated power, high maneuverability, etc. As a strong suppression weapon, it is widely used in modern wars. With the continuous development and progress of science and technology, and due to unique advantages, MLRS is becoming more and more important in modern wars. Weapon performance accuracy is a matter of national security. Randomness is existed commonly and inevitably in nature. Due to randomness of processing, manufacture and installation error which can cause parameters of MLRS changed; and influence the vibration characteristics and the dynamic system response, finally, influenced the design precision of MLRS.In this dissertation, based on the transfer matrix method for multibody systems and methods of perturbation theory, established analytical methods of eigenvalue problem with random parameters of MLRS multibody systems. The perturbation transfer matrix method which applied to the system state vector, transfer matrix of random variables as a function of the integer (i) is expanded to second order perturbation form expression, each component of multibody systems with random parameters transfer equation and transfer matrix are derived. The total transfer matrix perturbation equation is derived depending on each element transfer matrix perturbation form. Boundary conditions are substituted into the system for each order perturbation obtained characteristic equation to get the system eigenvalues. Meanwhile, Monte Carlo simulation method of the eigenvalues of the MLRS with random parameters multibody system was established, for solving the system characteristic equation of the corresponding system boundary conditions by numerical simulation program. Results illustrated that the utilized methods for solving MLRS as multi-rigid-body system with random parameters of eigenvalue calculation results are in good agreement; which validate the effectiveness and efficiency. The necessity of the randomness study is provided through numerical calculations, and considering the existence of different random parameters which affect the eigenvalue of the system. In this thesis, it provides the theoretical foundation of.MLRS overall design.