Abstract: The paper is concerned with two parts of the straight-through system with many degrees of freedom.The first is the modification to the method due to Holzer by the auther to find the natural frequencies not only for the rotating system but also for the rectilinear system with any, end condition. These operations can be clearly seen in the flow diagram of fig, 5.In the second part, owing to the tri-diagonal and sysmetrical form of the characteristic matrix, a chase method is proposed by the author to calculate, the steady state response.