상대 절점 변위를 이용한 비선형 유한 요소 해석법A Relative Nodal Displacement Method for Element Nonlinear Analysis
- Other Titles
- A Relative Nodal Displacement Method for Element Nonlinear Analysis
- Authors
- 배대성; 김완구
- Issue Date
- Apr-2005
- Publisher
- 대한기계학회
- Keywords
- 상대 절점 변위; 움직이는 좌표 계; 위상 해석; 유한 요소법; 대 변형; 트러스 구조물; Relative Nodal Displacement; Moving Reference Frame; Topology Analysis; Finite Element Method; Large Deformation; Truss Structure
- Citation
- 대한기계학회논문집 A, v.29, no.4, pp.534 - 539
- Indexed
- KCI
- Journal Title
- 대한기계학회논문집 A
- Volume
- 29
- Number
- 4
- Start Page
- 534
- End Page
- 539
- URI
- https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/46382
- ISSN
- 1226-4873
- Abstract
- Nodal displacements are referred to the initial configuration in the total Lagrangian formulation and to the last converged configuration in the updated Lagrangian formulation. This research proposes a relative nodal displacement method to represent the position and orientation for a node in truss structures. Since the proposed method measures the relative nodal displacements relative to its adjacent nodal reference frame, they are still small for a truss structure undergoing large deformations for the small size elements. As a consequence, element formulations developed under the small deformation assumption are still valid for structures undergoing large deformations, which significantly simplifies the equations of equilibrium. A structural system is represented by a graph to systematically develop the governing equations of equilibrium for general systems. A node and an element are represented by a node and an edge in graph representation, respectively. Closed loops are opened to form a spanning tree by cutting edges. Two computational sequences are defined in the graph representation. One is the forward path sequence that is used to recover the Cartesian nodal displacements from relative nodal displacement sand traverses a graph from the base node towards the terminal nodes. The other is the backward path sequence that is used to recover the nodal forces in the relative coordinate system from the known nodal forces in the absolute coordinate system and traverses from the terminal nodes towards the base node. One open loop and one closed loop structure undergoing large deformations are analyzed to demonstrate the efficiency and validity of the proposed method.
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Collections - COLLEGE OF ENGINEERING SCIENCES > DEPARTMENT OF MECHANICAL ENGINEERING > 1. Journal Articles
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