The paper presents the extended Lindstedt-Poincare (EL-P) method, which applies multiple time scales to treat nonstationary oscillations arising in dynamical systems with cubic non-linearities. The passage through the resonance is conducted to study deviations from the stationary response. The method is applied to the dynamical systems such as Duffing oscillator and van der Pol oscillator, whereat effects of varying the excitation frequency and varying the excitation amplitudes, respectively are studied.
COBISS.SI-ID: 10864662
Structure integrity assessment is issued to failure prediction of cracked structural component regarding to increasing applied load or crack size. In order to ensure safe use of cracked structural component the many standards and procedures are available (e.g. SINTAP). The results obtained by using of these procedures consist always certain portion of conservatism, what leads to underestimation of the real carrying capacity of engineering component.
COBISS.SI-ID: 12315414
The dissertation deals with the assesment of the crack driving force for cracks in inhomogenous materials. The material inhomogeneity induces an additional crack driving force so-called material inhomogeneity term, C[sub]inh. This term can be either evaluated by a simple post-processing procedure, following conventional finite element stress analysis, or by evaluating the J-integral along a contour around the interface, J[sub]int.
D.09 Tutoring for postgraduate students
COBISS.SI-ID: 9578262The dissertation describes the new approach to shape optimization of elastic multibody systems, in particular of open kinematic chains. The novelty is the utilization of finite elements, based on the recently introduced absolute nodal coordinates formulation. This formulation is suitable for analyzing dynamic mechanical systems that are subjected to large displacements and small or large deformations.
D.09 Tutoring for postgraduate students
COBISS.SI-ID: 230804992The paper presents the study of non-stationary oscillations, which is based on extension of Lindstedt-Poincare (EL-P) method with multiple time scales for non-linear dynamical systems with cubic non-linearities. The generalization of the method is presented to discover the passage of weakly non-linear systems through the resonance as a control or excitation parameter varies slowly across points of instabilities corresponding to the appearance of bifurcations.
COBISS.SI-ID: 11866646