Abstract
In this paper, the use of the MaxInf Principle in real optimization problems is investigated for engineering applications, where the current design solution is actually an engineering approximation. In industrial manufacturing, multibody system simulations can be used to develop new machines and mechanisms by using virtual prototyping, where an axiomatic design can be employed to analyze the independence of elements and the complexity of connections forming a general mechanical system. In the classic theories of Fisher and Wiener-Shannon, the idea of information is a measure of only probabilistic and repetitive events. However, this idea is broader than the probability alone field. Thus, the Wiener-Shannon’s axioms can be extended to non-probabilistic events and it is possible to introduce a theory of information for non-repetitive events as a measure of the reliability of data for complex mechanical systems. To this end, one can devise engineering solutions consistent with the values of the design constraints analyzing the complexity of the relation matrix and using the idea of information in the metric space. The final solution gives the entropic measure of epistemic uncertainties which can be used in multibody system models, analyzed with an axiomatic design.
Highlights
Multibody systems represent a special class of mechanical systems made of rigid and/or flexible bodies, mutually interconnected by joint constraints, and subjected to external force fields [1–10].Several examples of such complex systems can be found in industrial engineering applications [11–20].The complexity of the dynamic behavior of such constrained mechanical systems requires the development of advanced analysis and modelling tools for performing virtual prototyping in a multibody framework [21–28]
Analyzing the complexity of the relation matrix and using the idea of information in the metric space, the resulting solution gives the entropic measure of epistemic uncertainties
When the idea of information is broader than the probability and the axioms of Wiener-Shannon, it can be extended to non-probabilistic and repetitive events
Summary
Multibody systems represent a special class of mechanical systems made of rigid and/or flexible bodies, mutually interconnected by joint constraints, and subjected to external force fields [1–10]. Considering the optimization problem for the design of a general mechanical system, the interdependencies of the connections between the elements that form the systems can be analyzed employing an axiomatic design. For this purpose, a method based on Wiener-Shannon’s axioms theory can be used. In the axiomatic design method, the scheme process optimizes elements using a set {FRi} of functional requirements and a set {DPj} of physical parameters. The mapping process between the domains is repeated several times, so that the previous design parameters determine the set of functional requirements.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
