Earticle

The nonlinear simple pendulum is investigated to find the exact closed-form analytical solution, satisfying initial conditions of angular position and angular velocity. While previous numerous studies have been conducted on the nonlinear simple pendulum, the exact closed-form analytical solution still remains not available in public domain for the most general initial condition including initial angular velocity as well as initial angular displacement. In this paper, the exact closed-form analytical solution for the general initial conditions is derived using Jacobi’s elliptic function and elliptic integral. The result was verified by comparing it with previous studies and the numerical solution of the equation of motion through the Runge-Kutta integration method.

사용후연료 건식저장용기의 전복사고조건에 대한 1/3 축소모델의 시험을 실시하여 전복해석에 대한 검증을 하였다. 전복해석은 전복각도에 따른 위치에너지와 동일한 운동에너지를 가지는 초기각속도를 이용하여 결정된 각 점에서의 속도를 충돌직전 모델에 대한 초기경계값으로 입력하여 해석하였다. 전복시험에 따른 캐니스터의 구조적 건전성을 확인하기 위하여 육안검사와 함께 액체침투법과 초음파 탐상법와 같은 비파괴검사를 실시하였다. 전복충격에 의하여 저장용기의 뚜껑 에 변형 이 발생되었지만 캐니스터의 구조적 건전성이 유지되었다. 시험에서 취득한 변형률과 가속도를 해석결과와 비교하여 해석 에 대한 검증을 실시하였다. 해석결과는 시험결과보다 대체로 두 배 정도의 큰 값을 주는 것으로 나타났다.

A test of the 1/3 scale model was conducted to verify the tip-over analysis of a dry. concrete storage cask under a hypothetical accident condition. The tip-over analysis was executed using the velocity at each point as the initial conditions of the model just before the impact. The initial velocity was determined from the initial angular velocity, which would make the equivalent kinetic energy to the potential energy. To confirm the structural integrity of the canister, the visual testing and the non-detective testings such as Liquid Penetrant testing and Ultrasonic Testing were conducted. The lid of a storage cask was plastically deformed near the impact point. The structural integrity of storage cask was maintained. To verify the tip-over analysis the strains and the accelerations acquired by the tip-over test were compared with those by the analyses. The results of the analysis were larger than the test results about two times.