Static Reanalysis: A Review

This paper reviews the methods of static reanalysis of structures and provides an update on the review written by Arora in 1976(8). With the advent of even less expensive computing and the introduction of optimization techniques to practical design problems, these methods are likely to become more important in the next few years.

[1]  R. L. Sack,et al.  Modification of elements in the displacement method. , 1967 .

[2]  H. Miura,et al.  An approximate analysis technique for design calculations , 1971 .

[3]  Richard H. Gallagher,et al.  Approximate force method reanalysis techniques in structural optimization , 1985 .

[4]  E. D. Poppleton,et al.  The Redesign of Redundant Structures Having Undesirable Stress Distributions , 1961 .

[5]  W. J. Goodey.  Solution of Modified Linear Simultaneous Equations , 1959 .

[6]  Alex. L. M. Grzedzielski,et al.  The Initial Strain Concept , 1961, The Journal of the Royal Aeronautical Society.

[7]  Ahmed K. Noor,et al.  Approximate Reanalysis Techniques with Substructuring , 1975 .

[8]  Uri Kirsch,et al.  Structural reanalysis by iteration , 1972 .

[9]  Kumar G. Bhatia,et al.  Rapid iterative reanalysis for automated design , 1973 .

[10]  Alex L. M. Grzedzielski,et al.  Note on Some Applications of the Matrix Force Method of Structural Analysis , 1960, The Journal of the Royal Aeronautical Society.

[11]  M. Powell,et al.  On the Modification of LDL T Factorizations , 1974 .

[12]  Ahmed K. Noor,et al.  Reduced Basis Technique for Nonlinear Analysis of Structures , 1980 .

[13]  M. Powell,et al.  On the modification of ^{} factorizations , 1974 .

[14]  Uri Kirsch,et al.  Reanalysis for Limited Structural Design Modifications , 1972 .

[15]  J. Arora.  Survey of Structural Reanalysis Techniques , 1976 .

[16]  Ahmed K. Noor,et al.  Structural reanalysis via a mixed method , 1975 .

[17]  W. J. Goodey.  Notes on a General Method of Treatment of Structural Discontinuities , 1955 .

[18]  Ahmed K. Noor,et al.  Nonlinear analysis via global–local mixed finite element approach , 1980 .

[19]  Michał Kleiber,et al.  Modified triangular factors in the incremental finite element analysis with nonsymmetric stiffness changes , 1978 .

[20]  Mehmet Polat Saka,et al.  THE THEOREMS OF STRUCTURAL VARIATION GENERALIZED FOR RIGIDLY JOINTED FRAMES. , 1978 .

[21]  Gilbert C. Best.  The Stress-Area Method Applied to Frames , 1946 .

[22]  G. Best,et al.  A METHOD OF STRUCTURAL WEIGHT MINIMIZATION SUITABLE FOR HIGH-SPEED DIGITAL COMPUTERS , 1963 .

[23]  J. M. Bennett.  Triangular factors of modified matrices , 1965 .

[24]  K. M. Romstad,et al.  Design parameter variation and structural response , 1973 .

[25]  P. Gill,et al.  Methods for computing and modifying the $LDV$ factors of a matrix , 1975 .

[26]  Graham H. Powell,et al.  Solution of progressively changing equilibrium equations for nonlinear structures , 1977 .

[27]  U. Kirsch,et al.  Approximate Behavior Models for Optimum Structural Design , 1981 .

[28]  L. Schmit,et al.  Some Approximation Concepts for Structural Synthesis , 1974 .

[29]  William G. Sullivan.  A review of: “APPLIED FORECASTING METHODS” by N. T. Thomopoulos, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, iiv + 369 pages, list $24.50 , 1979 .

[30]  Suresh R. Phansalkar.  Matrix iterative methods for structural reanalysis , 1974 .

[31]  Gerhard Zielke,et al.  Inversion of Modified Symmetric Matrices , 1968, JACM.

[32]  R. H. MacNeal,et al.  Application of the Compensation Theorem to the Modification of Redundant Structures , 1953 .

[33]  Bo Ping Wang,et al.  An efficient zooming method for finite element analysis , 1984 .

[34]  W D Pilkey,et al.  Efficient Reanalysis of Locally Modified Structures. , 1980 .

[35]  P. C. Das.  Reanalysing structures with small modifications , 1978 .

[36]  G. C. Best,et al.  The Stress-Area Method of Designing Beams , 1945 .

[37]  Nils-Erik Wiberg.  Discussion of "Efficient Reanalysis of Modified Structures" , 1971 .

[38]  Uri Kirsch,et al.  Optimal Design Based on Approximate Scaling , 1982 .

[39]  Dwc Elliott,et al.  TOPOLOGICAL DESIGN OF PIN JOINTED STRUCTURES BY NON-LINEAR PROGRAMMING. , 1973 .

[40]  R. J. Melosh,et al.  Multiple Configuration Analysis of Structures , 1968 .

[41]  Steven J. Fenves,et al.  Sparse Matrices, Graph Theory, and Reanalysis , 1981 .

[42]  DataNotAvailable.  Discussion of Behavior Under Load of Composite Box-Girder Bridges by Alan H. Mattock and Sterling B. Johnston , 1969 .

[43]  Uri Kirsch,et al.  Approximate structural reanalysis for optimization along a line , 1982 .

[44]  Sebastian von Hoerner.  Homologous Deformations of Tiltable Telescopes , 1967 .

[45]  Wei H. Yang.  A method for updating Cholesky factorization of a band matrix , 1977 .

[46]  Ahmed K. Noor,et al.  Multiple Configuration Analysis Via Mixed Method , 1974 .

[47]  John Argyris,et al.  A direct modification procedure for the displacement method , 1971 .

[48]  S. Kelsey,et al.  Initial Strains in the Matrix Force Method of Structural Analysis , 1960, The Journal of the Royal Aeronautical Society.

[49]  Eryk Kosko.  Matrix Inversion by Partitioning , 1957 .

[50]  K. I. Majid,et al.  The elastic–plastic analysis of frames by the theorems of structural variation , 1985 .

[51]  J. Sherman,et al.  Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix , 1950 .

[52]  Jaroslaw Sobieszczanski,et al.  Matrix algorithm for structural modification based upon the parallelelement concept , 1969 .

[53]  Olaf O. Storaasli,et al.  On the Accuracy of the Taylor Approximation for Structure Resizing , 1974 .

[54]  Uri Kirsch,et al.  On some simplified models for optimal design of structural systems , 1985 .

[55]  K. Kavanagh,et al.  An approximate algorithm for the reanalysis of structures by the finite element method , 1972 .

[56]  Erdal Atrek,et al.  Theorems of structural variation: a simplification , 1985 .

[57]  Richard N. Wright,et al.  Solving topologically modified structures , 1973 .

[58]  Barry Hilary Valentine Topping,et al.  The application of the theorems of structural variation to finite element problems , 1983 .

[59]  K. J. Zlmmermann,et al.  Interactive use of finite element programs—or—how to get more out of your finite element model , 1980 .

[60]  Kincho H. Law,et al.  Sparse matrix factor modification in structural reanalysis , 1985 .

[61]  John E. Brock.  Variation of coefficients of simultaneous linear equations , 1953 .

[62]  Uri Kirsch,et al.  Approximate structural reanalysis based on series expansion , 1981 .

[63]  John Argyris,et al.  General Treatment of Structural Modifications , 1972 .

[64]  A. Noor.  Recent advances in reduction methods for nonlinear problems. [in structural mechanics , 1981 .

[65]  Ahmed K. Noor,et al.  Approximate techniques of strctural reanalysis , 1974 .

[66]  B. P. Wang,et al.  Parameterization in Finite Element Analysis , 1981 .

[67]  Graham H. Powell,et al.  Efficient Reanalysis of Modified Structures , 1970 .

[68]  Kyung K. Choi,et al.  A sparse matrix finite element technique for iterative structural optimization , 1983 .