A Study of Scale Effects in Discrete Scaled Dynamic Systems

Scaled experimentation is an important experimental approach for the investigation of complex systems. Unfortunately, scaling suffers scale effects, where changes in behaviour with can be so significant to undermine any scaled investigation. The state-of-the-art remains dimensional analysis, which unfortunately offers no solution effects and consequently experiments although provide only limited usefulness at present time. This paper concerned a new founded on theory finite similitude applied discrete mechanical applies metaphysical concept space scaling, objects, prototypes, systems, apparatus facilities are by means contraction or expansion. Although clearly practically impossible, what possible assessment governing physics comparison real behaviours. It shown how accounts all dependencies unlike analysis able accommodate known effects. provides also alternative scale-invariances that cater situation but unknown. aspect focus here application first-order simple mechanical-dynamic requires two distinct scales. demonstrated it represent behaviours full hitherto would have been deemed impossible traditional analysis.