Investigation of road train divergent stability loss when moving along a program trajectory
Journal Title: Технологический аудит и резервы производства - Year 2018, Vol 6, Issue 2
Abstract
<p><em>The object of research is transport driven multilink wheel systems. In the development of the realized possibility of controlled movement of a semi-trailer truck along a program trajectory, the possibility of constructing a bifurcation set by a velocity parameter is considered. The velocity value is calculated for each discrete value of the calculated real trajectory. The trajectory can be specified in an explicit, implicit, parametric form or by the law of variation of the curvature radius. The study of this parameter is one of the most problematic places for analyzing the stability of the movement of a road train.</em></p><p><em>Changes in this parameter at certain values, called bifurcation, lead to changes in the qualitative structure of the solutions of the system of differential equations and, as a result, divergent stability of the road train. For such an investigation of the phenomenon, the method of continuation by parameter and the first Lyapunov method are applied.</em></p><p><em>During the research, many bifurcation velocity values are obtained. This is due to the fact that the proposed approach has a number of features, in particular, an iteration is performed for all control parameters of the program trajectory, and for each such value, the velocity has been iterated until its bifurcation value is reached.</em></p><p><em>At each iteration, the roots of the characteristic equation are checked for the presence of at least one root with a positive real part, which corresponds to the bifurcation value of the parameter of the velocity of a road train according to Lyapunov. Due to this, it is possible to obtain this set by an exclusively analytical method using computer calculations, without resorting to the use of graphic-analytical methods.</em></p><em>Obtaining these bifurcation sets can practically be used both to limit the velocity of a road train and to warn of its excess. Compared with similar known methods, this provides such advantages as a significant acceleration of the construction of this set and, as a result, its use in real time.</em>
Authors and Affiliations
Vasyl Popivshchyi, Anatoliy Bezverkhyi, Dmitry Tatievskyi
Keywords
Related Articles
- EP ID EP527550
- DOI 10.15587/2312-8372.2018.150924
- Views 100
- Downloads 0
Investigation of the price scale importance in the conditions of the post-soviet market society
<p><em>The object of research is modern ideas about the price scale and their inconsistency with the tasks of reforming the economic foundations of the post-Soviet society. One of the most problematic places of this obje...
Analysis of e-document management systems in Ukraine and criteria for their selection
<p><em>The object of research is the criteria for selecting the e-document management system (EDMS) in the IT market of Ukraine and the life cycle of the management decision in the EDMS. One of the most problematic place...
Optimal planning of trip and round trip cycle time on an urban route
<p class="FR1"><em>The object of research is the public urban passenger transport route. One of the most problematic places in the organization of transportation on a fixed city route is the establishment of the planned...
Formation of HR (human resources) business strategy based on SPACE analysis
<p><em>The object of research is the process of making strategic personnel decisions at the enterprise. Since the personnel of the enterprise are its main strategic resource in the competitive struggle, the research of a...
Formalization of the process of the strategic adaptation of the manufacturing company to integration of complex-technical systems in the supply chain
<p><em>The experience of functioning supply chains both in Ukraine and abroad convincingly proves the importance of a high level of synchronization of actions of all its participants. The formation of a successful model...