평면 프레임 구조물의 유한요소 비선형 해석을 위한 효율적인 수치해석 방법에 관한 연구

A study on improving efficiency in computational procedure of finite element nonlinear analysis of plane frame structures

본 연구에서는 선형 탄성 해석의 결과를 이용하여 초기 하중 증분량을 결정하 는 방법을 제안한다. 또 Crisfield의 방법에서 부분적으로 발생하는 수치적 불안정 을 개선하고 수치 해석의 효율을 제고시키기 위하여 하중 증감의 판정 방법과 변위 증 분 길이의 예측 방법을 제안한다.

Computational procedures associated with finite element nonlinear analysis of plane frame structures were examined and new solution schemes were suggested. Element stiffness matrix was derived from the principle of virtual displacements. Geometric and material nonlinearities were considered in the formulation. Solution method was based upon the constant displacement length method in conjunction with the Newton-Raphson method. New solution schemes were introduced in determining the initial load increment and the sign of load increments and predicting the length of displacement increment to improve user convenience, efficiency and stability. Numerical experiments were performed for several typical problems and suggested schemes were found efficient and convenient for analyzing nonlinear frame structures.