확률적 선형화를 이용한 철도차량의 횡방향 진동에 관한 연구

A Study on the Lateral Vibretion of a Railway Vehicle Utilizing Statistical Linearization Technique

본 연구에서는 레일의 불규칙성을 가우시안 분포(Gausian distribution)를 갖 는 랜덤함수로 보고 레일과 바퀴의 비선형기하학적 형상을 확률적 선형화 방법으로 단 순화하여 측방향 강제진동 응답을 구하였다. 또 구하여진 rms 응답 스펙트럼은 비선 형 방정식을 직접 수치적분하여 구한 결과와 비교하므로써 확률적 선형화방법의 효용 성을 보였다. 또한 열차 주행 속도를 변화 시키면서 강제 진동 응답을 시간 영역에 서 구하였으며 그로부터 지금까지 실험결과에서 나타나고 있는 간헐적헌팅(intermit- tent hunting)에 대한 현상을 설명하였다.

The lateral vibrating motion of a railway vehicle over a certain critical speed is a well known problem in the field of train dynamics. It is known that the train equations of motion are strongly coupled and highly nonlinear with the motion and causing that it is very difficult to solve the equations simultaneously. In this paper, a 8 degree of feedom model of a railway vehicle was suggested to solve the rail vehicle lateral motion. In stead of solving the nonlinear equation simultaneously, statistical linearization technique was adopted to solve those equations. The analysis results from the statistical linearization method were directly compared with those from direct nonlinear equations and found that the linearization technique can be very effective and economical for railroad vehicle analysis. By the way, it was found that the analysis results can analytically explain the intermittent hunting phenomena which has been frequently observed in experiments.