A Mathematical Model of Distributed Prototype Design in Mechanical Engineering

Fully functional, full-scale models with characteristics close to those of mass-produced devices are widely employed in mechanical engineering to validate the possibility of implementing a new concept in the actual device. Prototype development and manufacturing is a costly process performed both with a limited time and financial constraints. Therefore, there is a need to create efficient automation tools for process planning in functional prototyping, based on full-scale mathematical models that allow taking into consideration the influence of small variations in technological parameters on the development time and cost. The proposed model employs mathematical programming techniques and ordinary homogeneous differential equations with discontinuous right sides. It takes into account both the limited resources and the distributed nature of the prototyping process. Furthermore, the model potentially allows for application of the automata theory to simulate and analyse the influence of the innovation market fluctuations on the innovation design process. The described modelling capabilities are realized in the software package IDC Requirements Engineering that features both the open PLM platform standards and the concept of digital factories.

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