30.06.2013 Views

smart technologies for safety engineering

smart technologies for safety engineering

smart technologies for safety engineering

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

The Virtual Distortion Method 33<br />

References<br />

1. W. Nowacki, Teoria sprezystosci (in Polish), PWN, Warsaw, 1970.<br />

2. J. Holnicki-Szulc and J. Gierliński, Structural modifications simulated by virtual distortions, International<br />

Journal of Numerical Methods in Engineering, 28, 1989, 645–666.<br />

3. E. Kroener, Kontinuumstheorie der Versetzungen und Eigenspannungen, in editors, Ergebnisse der<br />

Angewandten Mathematik (in German) (eds L. Collatz and F. Loesch,), Vol. 5, Springer, Berlin,<br />

1958.<br />

4. J.H. Argyris, Elasto-plastic matrix displacement analysis of three-dimensional continua, Journal of<br />

Royal Aeronautical Society, 69, 1965, 633–636.<br />

5. G. Maier, A matrix structural theory of piecewise-linear plasticity with interacting yield planes,<br />

Meccanica, 7, 1970, 51–66.<br />

6. M.A. Akgun, J.H. Garcelon and R.T. Haftka. Fast exact linear and non-linear structural reanalysis<br />

and the Sherman–Morrison–Woodbury <strong>for</strong>mulas, International Journal Numerical Methods in<br />

Engineering, 5, 2001, 1587–1606.<br />

7. J. Holnicki-Szulc, Virtual distortion method, in Lecture Notes in Engineering, Springer, Heidelberg–<br />

Berlin, 1991.<br />

8. J. Holnicki-Szulc and J.T. Gierliński, Structural Analysis, Design and Control by the Virtual Distortion<br />

Method, John Wiley & Sons, Ltd, Chichester, 1995.<br />

9. P. Kol̷akowski, M. Wikl̷o and J. Holnicki-Szulc, The virtual distortion method – a versatile reanalysis<br />

tool <strong>for</strong> structures and systems, Structural and Multidisciplinary Optimization, (to appear).<br />

10. A.M.A. Kassim and B.H.V. Topping, Static reanalysis: a review, Journal of Structural Engineering<br />

ASCE, 113(6), 1987, 1029–1045.<br />

11. J.F.M. Barthelemy and R.T. Haftka, Approximation concepts <strong>for</strong> optimum design – a review, Structural<br />

Optimization, 5, 1993, 129–144.<br />

12. J. Sherman and W.J. Morrison, Adjustment of an inverse matrix corresponding to changes in the<br />

elements of a given column or a given row of the original matrix, Annals of Mathematical Statistics,<br />

20, 1949, 621.<br />

13. M. Woodbury, Inverting modified matrices, Memorandum report 42, Statistical Research Group,<br />

Princeton University, NewJersey, 1950.<br />

14. R.L. Fox and H. Miura, An approximate analysis technique <strong>for</strong> design calculations. Technical note,<br />

American Institute of Aeronautical and Astronautical Journal, 9(1), 1971, 177–179.<br />

15. A.K. Noor and H.E. Lowder, Approximate techniques of structural reanalysis, Computers and Structures,<br />

4, 1974, 801–812.<br />

16. U. Kirsch and S. Liu, Exact structural reanalysis by a first-order reduced basis approach, Structural<br />

Optimization, 10, 1995, 153–158.<br />

17. U. Kirsch, A unified reanalysis approach <strong>for</strong> structural analysis, design and optimization, Structural<br />

and Multidisciplinary Optimization, 25, 2003, 67–85.<br />

18. K.I. Majid and D.W.C. Elliott, Forces and deflections in changing structures, Structural Engineering,<br />

51, 1973, 93–101.<br />

19. B.H.V. Topping and A.M.A. Kassim, The use and efficiency of the theorems of structural variation <strong>for</strong><br />

finite element analysis, International Journal of Numerical Methods in Engin., 24, 1987, 1900–1920.<br />

20. M.P. Saka, The theorems of structural variation <strong>for</strong> solid cubic finite elements, Computers and<br />

Structures, 68, 1998, 89–100.<br />

21. K.I. Majid and T. Celik. The elastic–plastic analysis of frames by the theorems of structural variation,<br />

International Journal of Numerical Methods in Engineering, 21, 1985, 671–681.<br />

22. L. Deng and M. Ghosn, Pseudo<strong>for</strong>ce method <strong>for</strong> nonlinear analysis and reanalysis of structural<br />

systems, Journal of Structural Engineering ASCE, 127(5), 2001, 570–578.<br />

23. H.R. Bae and R.V. Grandhi, Successive matrix inversion method <strong>for</strong> reanalysis of <strong>engineering</strong> structural<br />

systems, American Institute of Aeronautical and Astronautical Journal, 42(8), 2004, 1529–<br />

1535.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!