Buckling Problems and Related Issues

  • Anatoly V. Perelmuter
  • Vladimir I. Slivker
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)


As it has been stated for many times, an engineering analysis is performed using idealized design models that represent a real structure in a more or less simplified form. Some peculiarities, being of minor importance from the viewpoint of the model’s creator, may well fall out of consideration. Such assumptions always need validating because there are numerous well-known examples how small deviations (perturbations) can affect a structure’s behavior very much, both at the quantitative and qualitative level.


Rigid Body Stiffness Matrix Critical Load Master Node Critical Force 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Belsky GE, Rivkin AM (1974) On a determination of free lengths in members of bar systems (in Russian). Structural mechanics and analysis of structures, 6:21–23Google Scholar
  2. 2.
    Bolotin VV (1965) A concept of stability in the structural mechanics (In Russian). In: Problems of stability in structural mechanics, Moscow, Stroyizdat, pp. 6–27.Google Scholar
  3. 3.
    Bovin VA (1963) Difference-variation methods of structural mechanics (in Russian). Stroyzdat USSR, KievGoogle Scholar
  4. 4.
    Dinkevich SZ (1977) Analysis of ciclic structures. Spectral method (in Russian). Stroyzdat MoskowGoogle Scholar
  5. 5.
    ENV 1993–1–1. Design of steel structures. General rules and rules for building (1995), BrusselsGoogle Scholar
  6. 6.
    Feodosiev VI (1967) Selected problems and questions of strength of materials (In Russian), Nauka Publishing House, MoscowGoogle Scholar
  7. 7.
    Feodosiev VI (1969) Ten lectures-conversations on strength of materials (in Russian). Nauka Publishing House, MoskowGoogle Scholar
  8. 8.
    Gemmerling AV (1974) How to determine design length of columns in multistory buildings (in Russian). In: Structural mechanics and analysis of structures, 2:64–66Google Scholar
  9. 9.
    Kochin NE (1965) Vector calculus and basics of tensor calculus (in Russian). Moscow, NaukaGoogle Scholar
  10. 10.
    Koiter WT (1945) On the Stability of Elastic Equilibrium. Diss. Thesis. TH Delft, AmsterdamGoogle Scholar
  11. 11.
    Kornoukhov NV (1949) Strength and stability of bar systems (in Russian). Moscow, GosstroyizdatGoogle Scholar
  12. 12.
    Loytsiansky LG, Lurie AI (1954) A course of theoretical mechanics (in Russian). Vol. I. Moscow, GostekhteorizdatGoogle Scholar
  13. 13.
    Lurie AI (1961) Analytical mechanics (in Russian). Moscow, FizmatgizGoogle Scholar
  14. 14.
    Nudelman JaL (1949) Methods of determining natural frequencies and critical forces in bar systems (in Russian). Moskow, GostekhteorizdatGoogle Scholar
  15. 15.
    Ovsianko VM (1999) A tracking force and thing around. A computer analysis of electronic models for deformable objects (in Russian). Polymia, MinskGoogle Scholar
  16. 16.
    Panovko YaG, Gubanova II (1965) Stability and oscillations of elastic systems; paradoxes, fallacies, and new concepts. Consultants Bureau, New YorkGoogle Scholar
  17. 17.
    Papkovich PF (1963) Works on structural mechanics of ships.— Vol. 4. Stability of bars, floors and plates (in Russian). Sudpromgiz, LeningradGoogle Scholar
  18. 18.
    Rzhanitsin AR (1955) Stability of equilibrium of elastic systems (in Russian). Gostekhteorizdat, MoscowGoogle Scholar
  19. 19.
    Rzhanitsin AR (1964) On some properties of a stability area of an equilibrium state (in Russian). In: Structural mechanics and analysis of structures, 1:1–8Google Scholar
  20. 20.
    Rzhanitsin AR (1975) On the question of equivalent lengths of bars (in Russian) In: Structural mechanics and analysis of structures, 5:74–76Google Scholar
  21. 21.
    Smirnov AF (1958) Stability and oscillations of structures (in Russian). Transzheldorizdat, MoscowGoogle Scholar
  22. 22.
    Steel constructions (1977) Vol.1: Members of steel constructions (in Russian) Ed.: Gorey VV, Uvarov BY, Filippov VV etc. Vyschaya shkola, MoscowGoogle Scholar
  23. 23.
    Strang G (1976) Linear algebra and its applications. Academic press, New York San Francisco LondonzbMATHGoogle Scholar
  24. 24.
    Thompson JMT (1982) Instability and catastrophes in science and Engineering. John Wiley & Sons, Chichester New York Brisbane Toronto SingaporeGoogle Scholar
  25. 25.
    Thompson JMT, Hunt GW (1973) A General Theory of Elastic Stability. John Wiley, LondonzbMATHGoogle Scholar
  26. 26.
    Timoshenko SP (1936) Theory of elastic stability. McGraw-Hill, New YorkGoogle Scholar
  27. 27.
    USSR State Committee for Construction (1989) Manual on steelwork design to SNiP 1I-23–81 *. Steel constructions (in Russian). Moskow, StroyizdatGoogle Scholar
  28. 28.
    USSR State Committee for Construction (1990) SNiP 1I-23–81 *. Steel constructions (in Russian). Stroyizdat, MoscowGoogle Scholar
  29. 29.
    Wilson EL Habibullah A (1987) Static and Dynamic Analysis of Multi-Story Buildings Including P-Delta Effects, Earthquake Spectra. In: Earthquake Engineering Research Institute, Vol. 3, No.3, May 1987.Google Scholar
  30. 30.
    Yasinsky FS (1952) Selected papers on stability of compressed bars (in Russian). Gostekhteorizdat, MoscowGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Anatoly V. Perelmuter
    • 1
  • Vladimir I. Slivker
    • 2
  1. 1.SCAD GroupKievUkraine
  2. 2.JSC GiprostroymostSaint-PetersburgRussia

Personalised recommendations