Discretized Strategies for the Investigation of Instability Problems in Structural Mechanics

作者: W. B. Krätzig

DOI: 10.1007/978-3-642-49373-7_20

关键词:

摘要: The classical way of tackling instability problems in structural mechanics is their transformation into a space special functions followed by the detection phenomena as properties this function space. From point view computational procedure an unnecessary detour: Direct discretized strategies are more efficient and include automatically all phenomena. Thus present paper will outline general theory structures based on purely concepts.

参考文章(6)
J.P. LASALLE, Stability theory and the asymptotic behavior of dynamical systems. Dynamic Stability of Structures#R##N#Proceedings of an International Conference Held at Northwestern University, Evanston, Illinois. pp. 53- 63 ,(1967) , 10.1016/B978-1-4831-9821-7.50008-9
E. Ramm, Strategies for Tracing the Nonlinear Response Near Limit Points Springer, Berlin, Heidelberg. pp. 63- 89 ,(1981) , 10.1007/978-3-642-81589-8_5
Aleksandr Michajlovič Ljapunov, Problème général de la stabilité du mouvement Éditions Jacques Gabay. ,(1949)
J. L. Willems, Madhukar Pandit, Stability theory of dynamical systems ,(1970)
Richard Ernest Bellman, Stability theory of differential equations ,(1953)
W. B. Krätzig, Eine einheitliche statische und dynamische Stabilitätstheorie für Pfadverfolgungsalgorithmen in der numerischen Festkörpermechanik ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. ,vol. 69, pp. 203- 213 ,(1989) , 10.1002/ZAMM.19890690712