The aim of this study is to investigate the effects of horizon selection on the elastic behaviour of plate type structures in the micropolar peridynamic theory. Plates with various lengths and widths have been investi...The aim of this study is to investigate the effects of horizon selection on the elastic behaviour of plate type structures in the micropolar peridynamic theory. Plates with various lengths and widths have been investi-gated using micropolar peridynamic model for different horizon selections. The mathematical model of plates has been provided applying the micropolar peridynamic theory and solution of this model has been obtained by finite element methods. The displacement fields have been computed for the different horizons and dimension ratios of plates. To compute the displacement field a program code has been developed by using the software package MATHEMATICA. The results obtained have been compared with the analytical solution of the classical elasticity theory and with the solution of displacement based finite element methods. For displacement based finite element method solution the software package ANSYS has been used. Ac-cording to results it has been observed that the displacement fields of the plates are strongly affected by ho-rizon selection. Therefore a question raises that which horizon length should be used with the problem in hand or is there any method to find the appropriate/best horizon length.展开更多
In order to achieve a new minimum energy interception of an arbitrarily maneuvering vehicle a nonlinear modal is first approximated by a series of local linear models using an on-line linearizing method for some state...In order to achieve a new minimum energy interception of an arbitrarily maneuvering vehicle a nonlinear modal is first approximated by a series of local linear models using an on-line linearizing method for some state variables, and then from the derived local linear models a new optimal strategy is developed using the receding horizon concept and associated techniques. That evader maneuvering in a small scope can be dealt with by the correspoding local linear model, and its maneuverring in a large scope is handled by model switching among a series of local linear models. Simulation results show that tile system designed in this way can intercept a randomly maneuvering evader.展开更多
文摘The aim of this study is to investigate the effects of horizon selection on the elastic behaviour of plate type structures in the micropolar peridynamic theory. Plates with various lengths and widths have been investi-gated using micropolar peridynamic model for different horizon selections. The mathematical model of plates has been provided applying the micropolar peridynamic theory and solution of this model has been obtained by finite element methods. The displacement fields have been computed for the different horizons and dimension ratios of plates. To compute the displacement field a program code has been developed by using the software package MATHEMATICA. The results obtained have been compared with the analytical solution of the classical elasticity theory and with the solution of displacement based finite element methods. For displacement based finite element method solution the software package ANSYS has been used. Ac-cording to results it has been observed that the displacement fields of the plates are strongly affected by ho-rizon selection. Therefore a question raises that which horizon length should be used with the problem in hand or is there any method to find the appropriate/best horizon length.
文摘In order to achieve a new minimum energy interception of an arbitrarily maneuvering vehicle a nonlinear modal is first approximated by a series of local linear models using an on-line linearizing method for some state variables, and then from the derived local linear models a new optimal strategy is developed using the receding horizon concept and associated techniques. That evader maneuvering in a small scope can be dealt with by the correspoding local linear model, and its maneuverring in a large scope is handled by model switching among a series of local linear models. Simulation results show that tile system designed in this way can intercept a randomly maneuvering evader.
