Dynamic stability analysis of a two-bar truss using numerical detection concepts [German]

摘要

Stability analysis often plays an important role in problems of structural dynamics. To handle the occurring problems correctly, the involved engineer must have basic knowledge of the stability theory. There are so many ways for its solution in the references that there might be doubts whether Me proposed algorithms reflect the arising task to a sufficient extent. Therefore, the goal of the present article is to introduce a uniform stability concept on the basis of Lyapunov exponents. From this, suitable numerical algorithms for different types of stability problems can be derived directly. Lyapunov exponents enable the treatment of stability problems of discrete and discretized structures under nearly arbitrary restrictions. The efficiency of the derived algorithms is documented for a two-bar-truss. [References: 12]