Normunds Kante, Mykola Kryshchuk and Jurijs Lavendels
The method of obtaining the plan of experiments in multidimensional space is considered in the paper. The method is based on assumptions of uniform distribution of charged particles in infinite space. To obtain the plan of experiments, the infinite multidimensional space is replaced with a hypercube whose surface models influence infinite space. The software is developed, and practical results in two-dimensional space are acquired. There are no basic problems to carry out calculations in multidimensional space.
Evgeniya Danilova, Igor Kochegarov, Nikolay Yurkov, Mikhail Miheev and Normunds Kante
A number of PCB defects, though having passed successfully the defect identification procedure, can potentially grow into critical defects under the influence of various external and (or) internal influences. The complex nature of the development of defects leading to PCB failures demands developing and updating the data measuring systems not only for detection but also for the prediction of future development of PCB defects considering the external influences. To solve this problem, it is necessary to analyse the models of defect development, which will allow predicting the defect growth and working out the mathematical models for their studies.
The study uses the methods of system analysis, theory of mathematical and imitation modelling, analysis of technological systems. The article presents four models for determining the theoretical stress concentration factor for several types of common defects, considering the strength loss of PCB elements. For each model the evaluation of parameters determining its quality is also given. The formulas are given that link the geometry of defects and the stress concentration factor, corresponding to four types of defects. These formulas are necessary for determining the number of cycles and time to failure, fatigue strength coefficient.
The chosen models for determining the values of the stress concentration factor can be used as a database for identifying PCB defects. The proposed models are used for software implementation of the optical image inspection systems.