Determination of stress concentration near the holes under dynamic loadings

Purpose. To develop an approach for determining the stress state of plate structural elements with holes under dynamic loads controlled accuracy. Methodology. The study was carried out on basis Laplace transform and method integral equations. Findings. An to stresses at in plates is proposed, which includes: time coordinate; a numerical transformants displacements based equations; finding originals Prudnikovs formula adapted problems elasticity theory. problem images reduced solving singular Integral equations were solved numerically approaches developed boundary element method. find stresses, inversion formulas proposed by Prudnikov are problems. various shapes out. Originality. A new regularization inverting as applied theory has been developed. For its implementation: convergence Fourier series pre-set initial improved; remainder taken into account conversion formula. Practical value. calculating concentration arbitrary shape lamellar loads. makes it possible determine studies performed circular polygonal rounded tops can be used strength calculations dynamically loaded plates. influence Poissons ratio analyzed.