Dynamic Analysis of Slender Rods

Abstract

A new three-dimensional finite element model of an inextensible elastic rod with equal principal stiffnesses is presented. The model permits large deflections and finite rotations and accounts for tension variation along its length. Its use in static analysis is described and a time integration method for dynamic analysis is developed. Accuracy of the spatial discretization and stability of the time integration method are demonstrated by comparison of numerical results with exact solutions for certain nonlinear problems.

Investigation of Fatigue Damage of the Mooring Lines for Submerged Floating Tunnels Under Irregular Waves

“…Kim et al, (2016) 는 환경 하중에 의해 유발되는 동적 응력을 고려한 강도 설계 뿐만 아니라 장기/단기 피로 손상에 대한 검토도 반드시 하 도록 되어 있다 [8], [9], [10], [11], [12] . Garrett (1982) [13] 의 slender rod 이론을 통해 수립한 지배 미분방정식을 기본으로 하여 수행이 가능하다. Gerber의 응력모델을 본 연구에서는 적용한다 [14], [15] .…”

Non-Linearly Restoring Performance of Catenary Mooring-Line Under Consideration of Its Dynamic Behaviors

“…For a 3d catenary (see Fig.1), compared with the previous 2d static model, the dynamic equations includes some nonlinear terms, that makes the analysis of dynamic response strong nonlinear and suitable to get more reasonable response of a moving catenary [15][16][17][18]. The governing equations of dynamics in terms of vectors [19,20] can be written as:…”

Investigation of nonlinear restoring stiffness in dynamic analysis of tension leg platforms

“…The same task is analysed as coupled platform and tendon problem by the finite element method, [14] and [15]. The platform is represented by one rigid plate element, while each tendon is modeled by four beam finite elements with realistic stiffness and distributed weight.…”