Interaction of a self vibrating beam with chaotic external forces

Abstract

Abstract Measuring the complexity of physical systems has been traditionally a problem in numerous engineering applications. Lin [Entropy 10 (1) (2008) 1–5] showed that the structural complexity is related to other properties of a solid such as symmetry and its stability over time. In Ratsaby [Entropy 10 (1) (2008) 6–14] a model was introduced which defines the complexity of a solid structure not by a qualitative notion of entropy but by an algorithmic notion of description complexity. According to the model, a dynamic structure in a random surrounding acts as an interfering entity that deforms randomness. In the current Note we report on the results of an empirical study that analyzes the output response of a simulated elastic beam subjected to a field of external random forces input. The relationship between the complexity of the system and the stochasticity of the output is shown to support this model and is a first indication that solids act similar to algorithmic selection rules.