Stanislav Stoykov

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Numerical methods that compute the nonlinear frequency–response curves of plates are presented. The equation of motion of the plate is derived by assuming first order shear deformation theory and considering geometrical type of nonlinearity. It is discretized by the finite element method using bilinear quadrilateral elements. The frequency–response curve is(More)
The dynamics of beams that undergo large displacements is analyzed in frequency domain and comparisons between models derived by isogeometric analysis and p-FEM are presented. The equation of motion is derived by the principle of virtual work, assuming Timoshenko’s theory for bending and geometrical type of nonlinearity. As a result, a nonlinear system of(More)
Elastic structures with material or geometrical discontinuities often appear among engineering applications. The appropriate usage of space discretization functions is essential for deriving mathematical models with sufficient accuracy. In the current work, a beam with stoppers is considered as an example of elastic structure with discontinuities. The p-(More)
Themathematical models applied to real-life engineering structures result into large-scale dynamical systems. The efficient computation of their dynamical characteristics requires the usage of advanced numerical methods with parallel algorithms. The shooting method, in combination with a continuation method, presents a powerful tool for analyzing and(More)
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