Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/sage/analysis-of-regular-structures-with-member-irregularity-using-the-dppRuGUdQB
References (40)
-
J. Lu, Y. Luo, N. Li (2009)
An incremental algorithm to trace the non-linear equilibrium paths of pin-jointed structures using the singular value decomposition of the equilibrium matrixProceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 223
-
A. Kaveh, H. Rahami (2006)
Block diagonalization of adjacency and Laplacian matrices for graph product; applications in structural mechanicsInternational Journal for Numerical Methods in Engineering, 68
-
R. Connelly, A. Back (1998)
Mathematics and TensegrityAmerican Scientist
-
S. Dinkevich (1991)
Finite symmetric systems and their analysisInternational Journal of Solids and Structures, 27
-
R. Kangwai, S. Guest (2000)
Symmetry-adapted equilibrium matricesInternational Journal of Solids and Structures, 37
-
S. Pellegrino (1990)
Analysis of prestressed mechanismsInternational Journal of Solids and Structures, 26
-
T. Healey, J. Treacy (1991)
Exact block diagonalization of large eigenvalue problems for structures with symmetryInternational Journal for Numerical Methods in Engineering, 31
-
A. Kaveh, M. Sayarinejad (2003)
Eigensolutions for factorable matrices of special patternsCommunications in Numerical Methods in Engineering, 20
-
A. Kaveh (2006)
Optimal Structural Analysis: Kaveh/Optimal Structural Analysis -
S. Guest (2006)
The stiffness of prestressed frameworks: A unifying approachInternational Journal of Solids and Structures, 43
-
A. Kaveh, H. Rahami (2010)
Eigenvalues of the adjacency and Laplacian matrices for modified regular structural modelsInternational Journal for Numerical Methods in Biomedical Engineering, 26
-
H. Tran, Jaehong Lee (2010)
Advanced form-finding for cable-strut structuresInternational Journal of Solids and Structures, 47
-
A. Kaveh, H. Rahami, S. Mirghaderi, M. Asl (2012)
Analysis of near‐regular structures using the force methodEngineering Computations, 30
-
A. Kaveh, M. Nik-Bakht (2011)
Analysis of space truss towers using combined symmetry groups and product graphsActa Mechanica, 218
-
(1996)
The number of feasible designs -
A. Kaveh, H. Rahami (2008)
Factorization for efficient solution of eigenproblems of adjacency and Laplacian matrices for graph productsInternational Journal for Numerical Methods in Engineering, 75
-
Jaya Singhal, K. Singhal (1996)
The number of feasible designs in a compatibility matrixEuropean Journal of Operational Research, 94
-
S. Pellegrino (1993)
Structural computations with the singular value decomposition of the equilibrium matrixInternational Journal of Solids and Structures, 30
-
S. Pellegrino, C. Calladine (1986)
Matrix analysis of statically and kinematically indeterminate frameworksInternational Journal of Solids and Structures, 22
-
A. Kaveh, H. Fazli (2011)
Approximate eigensolution of locally modified regular structures using a substructuring techniqueComputers & Structures, 89
-
A. Kaveh, H. Rahami (2011)
Block circulant matrices and applications in free vibration analysis of cyclically repetitive structuresActa Mechanica, 217
-
Zhong Wan-xie, Qiu Chun-hang (1983)
Analysis of symmetric or partially symmetric structuresComputer Methods in Applied Mechanics and Engineering, 38
-
C. Calladine, S. Pellegrino (1991)
First-order infinitesimal mechanismsInternational Journal of Solids and Structures, 27
-
(1993)
On the computation of strains and stresses in symmetrical articulated structures -
(2012)
Structural analysis of regular structures with irregular parts using singular value decomposition of equilibrium matrix -
Jin-yu Lu, Yaozhi Luo, Na Li (2007)
Mobility and equilibrium stability analysis of pin-jointed mechanisms with equilibrium matrix SVDJournal of Zhejiang University-SCIENCE A, 8
-
Liu Wing-Kam (1987)
Introduction to applied mathematics: Gilbert Strang (Wellesley-Cambridge press, Wellesley, MA, 1986) 758 pp -
(2010)
Advanced form-finding for cable -
A. Kaveh, H. Rahami (2010)
An efficient analysis of repetitive structures generated by graph productsInternational Journal for Numerical Methods in Engineering, 84
-
G. Sabidussi (1959)
Graph multiplicationMathematische Zeitschrift, 72
-
E. Spacone, V. Ciampi, F. Filippou (1996)
Mixed formulation of nonlinear beam finite elementComputers & Structures, 58
-
R. Kangwai, S. Guest, S. Pellegrino (1999)
AN INTRODUCTION TO THE ANALYSIS OF SYMMETRIC STRUCTURESComputers & Structures, 71
-
A. Kaveh (1997)
Optimal Structural Analysis -
A. Kaveh, H. Rahami, M. Nik-Bakht (2010)
Vibration analysis of regular structures by graph products: Cable networksComputers & Structures, 88
-
C. Calladine (1978)
Buckminster Fuller's “Tensegrity” structures and Clerk Maxwell's rules for the construction of stiff framesInternational Journal of Solids and Structures, 14
-
A. Kaveh, H. Rahami (2007)
Compound matrix block diagonalization for efficient solution of eigenproblems in structural mechanicsActa Mechanica, 188
-
A. Kaveh (1991)
Graphs and structuresComputers & Structures, 40
-
J. Katz, Jaya Singhal (1988)
Structural Properties Of The Compatibility Matrix: Existence Of Mathematical RelationshipsInfor, 26
-
A. Kaveh (1986)
Graph theoretical methods for efficient flexibility analysis of planar trussesComputers & Structures, 23
-
Reg Connelly, M. Terrell (1995)
Globally rigid Symmetric Tensegrities
- Publisher
- SAGE
- Copyright
- © 2013 SAGE Publications
- ISSN
- 1369-4332
- eISSN
- 2048-4011
- DOI
- 10.1260/1369-4332.16.5.823
- Publisher site
- See Article on Publisher Site
Abstract
In this paper an efficient method is presented for the analysis of those structures which can be formed by addition some members to regular structures. This method is also applicable when some members are reduced from regular structures. If a model is the union of a regular structure and some additional members, then these members are separated from the structure, and their effect is introduced through equilibrium matrix and added to that of the regular structure. For models which lack some members, pairs of hypothetical elements with positive and negative modulus of elasticity are added, and the members with negative modulus are separated from the structure resulting in a regular structure.
Journal
Advances in Structural Engineering – SAGE
Published: May 1, 2013