DYNAMIC STABILITY ANALYSIS OF A 2-BAR TRUSS USING NUMERICAL DETECTIONCONCEPTS

Stability analysis often plays an important role in problems of struct ural dynamics. To handle the occurring problems correctly, the involve d engineer must have basic knowledge of the stability theory. There ar e so many ways for its solution in the references that there might be doubts whether Me proposed algorithms reflect the arising task to a su fficient extent. Therefore, the goal of the present article is to intr oduce a uniform stability concept on the basis of Lyapunov exponents. From this, suitable numerical algorithms for different types of stabil ity problems can be derived directly. Lyapunov exponents enable the tr eatment of stability problems of discrete and discretized structures u nder nearly arbitrary restrictions. The efficiency of the derived algo rithms is documented for a two-bar-truss.