본문 바로가기
KERD
논문

요소 중심의 네트워크 접근법을 이용한 부정정 트러스 구조 해석

Analysis of Indeterminate Truss Structures by Element-Focused Network Approach

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류농학

초록

Element-focused network analysis method for truss structure is proposed. The propagation process of loads from external loads to connected otherelements is similar to that of connections between nodes in accordance with attachment rule in a network. Here nodes indicate elements in a trussstructure and edges represent propagated loads. Therefore, the flows of loads in a truss structure can be calculated using the network analysis method, andconsequently the structure can also be analyzed. As a first step to analyze a truss structure as a network, we propose a local load transfer rule in accordancewith the topology of elements, and then analyze the loads of the truss elements. Application of this method reveal that the internal loads and reactionscaused by external loads can be accurately estimated. Consequently, truss structures can be considered as networks and network analysis method can beapplied to further complex truss structures.

Abstract

Element-focused network analysis method for truss structure is proposed. The propagation process of loads from external loads to connected otherelements is similar to that of connections between nodes in accordance with attachment rule in a network. Here nodes indicate elements in a trussstructure and edges represent propagated loads. Therefore, the flows of loads in a truss structure can be calculated using the network analysis method, andconsequently the structure can also be analyzed. As a first step to analyze a truss structure as a network, we propose a local load transfer rule in accordancewith the topology of elements, and then analyze the loads of the truss elements. Application of this method reveal that the internal loads and reactionscaused by external loads can be accurately estimated. Consequently, truss structures can be considered as networks and network analysis method can beapplied to further complex truss structures.

참고문헌 (26)

  1. Barabási, A. -L, "Emergence of Scaling in Random Networks", Science, 285, pp.509~512 (1999)
  2. Borgatti, S. P, "Centrality and network flow", Social Networks, 27, pp.55~71 (2005)
  3. Chu, D. N, "Evolutionary structural optimization for problems with stiffness constraints", Finite Elements in Analysis and Design, 21(4), pp.239~251 (1996)
  4. Coleman, T. F, "The null space problem I;complexity", SIAM Journal on Algebraic Discrete Methods, 7(4), pp.527~537 (1986)
  5. Coleman, T. F, "The null space problem II; algorithms", SIAM Journal on Algebraic Discrete Methods, 8(4), pp.544~561 (1987)
  6. A general digital computer analysis of statically indeterminate structures. Technical Report, "Denke, P. H", ~, pp.NASATN-D-1666 (1962)
  7. Dodds, P. S, "An Experimental Study of Search in Global Social Networks", Science, 301(5634), pp.827~829 (2003)
  8. Freeman, L. C, "Centrality in valued graphs : A measure of betweenness based on network flow", Social Networks, 13, pp.141~154 (1991)
  9. Freeman, L. C, "Centrality in social networks conceptual clarification", Social Networks, 1, pp.215~223 (1978)
  10. Fritsch, M, "The impact of network structure on knowledge transfer: an application of social network analysis in the context of regional innovation networks", The Annals of Regional Science, 44, pp.21~38 (2010)
  11. Gilbert, J. R, "Computing a sparse basis for the nullspace", SIAM Journal on Algebraic Discrete Methods, 8(3), pp.446~459 (1987)
  12. Goh, K. -I, "The human disease network", Proceedings of the National Academy of Sciences of the United States of America, 104(21), pp.8685~8690 (2007)
  13. Gürdal, Z, "Cellular automata for design of truss structures with linear and nonlinear response", Proc. 41st AIAA, ASCE, pp.AHS Structures, Structural Dynamics, and Materials Conf., AIAA Paper, 2000
  14. Han, Y, "Simulating Network Structures Using Bernouilli’s Principle", Advances in Complex Systems, 15(4), pp.1250032~ (2012)
  15. Han, Y, "Estimating Employment-Related Migration from Overlapping Migration and Commuting Networks", Growth and Change, 44(3), pp.474~493 (2013)
  16. Henderson, J. C, "Topological aspects of structural analysis", Aircraft in Engineering, 32, pp.137~141 (1960)
  17. Kaveh, A, "An efficient graph theoretical method for plate bending finite element analysis via force method", Engineering Computations, 24(7), pp.679~698 (2007)
  18. 김태곤, "셀룰러 오토마타와 객체기반 시뮬레이션 환경에 의한 트러스 구조의 해석모델 개발", 한국농공학회논문집, 56(3), pp.1~9 (2014), 한국농공학회
  19. 이한귀, "요소 독립성이 유지되는 반복해법에 의한 객체지향 유한요소모델 개발", 한국농공학회논문집, 54(2), pp.115~125 (2012), 한국농공학회[DOI]
  20. Newman, M. E. J, "Fast algorithm for detecting community structure in networks", Physical Review E, 69, pp.066133~ (2004)
  21. Querin, O. M, "Computational efficiency and validation of bi-directional evolutionary structural optimisation", Computer Methods in Applied Mechanics and Engineering, 189(2), pp.559~573 (2000)
  22. Ravasz, E, "Hierarchical organization in complex networks", Physical Review E, 67, pp.026112~ (2003)
  23. Ravasz, E, "Hierarchical Organization of Modularity in Metabolic Networks", Science, 297, pp.1551~1555 (2002)
  24. Smith, D. A, "Structure and Dynamics of the Global Economy; Network Analysis of International Trade 1965-1980", Social Forces, 70(4), pp.857~893 (1999)
  25. Watts, D. J, "Collective dynamics of ‘small-world’ networks", Nature, 393, pp.440~442 (1998)
  26. Xie, Y. M, "A simple evolutionary procedure for structural optimization", Computers & Structures, 49(5), pp.885~896 (1993)

관련 논문AI추천

이 간행물의 다른 논문 (9건)