Determining the static critical force, load-displacement relationships, and the main unstable resonance region for the smallest eigenvalue allows for a quantitative and qualitative assessment of the structure’s sensitivity.The finite element method was used for the stability analysis, which enables stability analysis as a function of all relevant physical parameters for complex bar systems. Stable and unstable regions of the main resonances for the smallest eigenvalues were determined as a function of the parameters: αP s , βP z , θ nStability is the system’s resistance to disturbances, i.e., the maintenance of motion /or equilibrium position/ under the influence of small disturbances. If the considered motion /or equilibrium/ undergoes significant changes even under the influence of small disturbances, it is called unstable motion /unstable equilibrium/.
In other words, when disturbances cause motion that moves the system away from the equilibrium state or oscillations around the equilibrium state occur with increasing amplitude, the equilibrium state is unstable. Conversely, if the system returns to the initial state or oscillates around it with a constant or decreasing amplitude, the equilibrium is stable. If (…)
The article contains 13227 characters.
Source: Logistyka Magazine
Stability analysis of a reticulated dome – PDF file for download