구속된 시스템의 정적 평형에 관한 연구A Study on Static Equilibrium of Constrained Systems
- Authors
- 은희창; 양근혁; 정헌수
- Issue Date
- Oct-2002
- Publisher
- 대한건축학회
- Keywords
- constraint; compatibility condition; constraint force; potential energy; minimization; constraint; compatibility condition; constraint force; potential energy; minimization; 구속 조건; 적합 조건; 구속력; 퍼텐셜 에너지; 최소화
- Citation
- 대한건축학회논문집 구조계, v.18, no.10, pp 11 - 18
- Pages
- 8
- Journal Title
- 대한건축학회논문집 구조계
- Volume
- 18
- Number
- 10
- Start Page
- 11
- End Page
- 18
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/65937
- ISSN
- 1226-9107
- Abstract
- Although Nature basically satisfies the static equilibrium, to give a discrete system geometrical constraints leads to some additional forces to sustain the static equilibrium. This paper presents an explicit static equilibrium equation of elastic structures to satisfy compatibility conditions. Extremizing the difference of total potential energy, which is a quadratic function of the deformation difference of unconstrained and constrained systems, and utilizing the fundamental linear algebra, this study exactly determines the static equilibrium equation including a term to calculate the constraint forces. And it is observed that Nature takes the constraint forces as the minimum values of all forces to satisfy the given geometrical conditions. Through the application of several structures with constraints and its extension to continuous systems, it is shown that the proposed equation is valid.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - ETC > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.