A Theoretical Investigation on Shakedown Analysis of Framed Structures

J. Ocean Eng. Technol. 1988;2(2):71-77.

Lee Jong-Seok

강뼈대 구조물의 소성안정 해석에 관한 이론적 연구

이종석

울산대학교 토목공학과

Keywords: Structure, Plane Frame, Shkedown, Loading

핵심용어: 구조물, 평면뼈대, 소성안정, 하중재하

Abstract

For the collapse of structures due to the variable repeated load, two types of collapse mechanisms, i.e., incremental collapse and alternating plasticity, exist. Under the similar variable repeated loading conditions there exists shakedown state in the structures. In shakedown state, the number of plastic hinges are not increased and all further loading will be resulted in the elastic moment changes. Namely, under the shakedown state, structures do not collapse. In this investigation, shakedown analysis are performed by composing new computer programs. Basic theories employed to compose the programs are as follows. 1. Newton-Raphson methods are added to the existing matrix method for the plastic analysis. 2. An effort to construct the stiffness of axial and bending springs attached at both ends of the member has been made. By using the programs developed, it is possible to anticipate the collapse mechanisms (Incremental collapse, alternating plasticity). Lastly for the verification of performance of the program, demonstration examples have been solved and the results are compared with other sources.