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引用次数: 0

摘要

摘要本研究的目的是分析机械系统的运行,并在其中引入电动和弹性部件,以确保后者的运行模式超出共振模式。研究的任务包括综合数学仪器,随后形成和分析特定系统的幅频特性。研究方法。这项工作的方法论基础是对共振模式下系统动力学的已知科学结果进行概括和分析,并使用系统方法。采用分析法和比较分析法,形成科学问题,形成目标,制定研究目标。在创建经验模型时,使用了系统动力学的主要规定。研究结果。考虑到系统的动态特性取决于输电线路弹性连接的存在与否,对组合系统进行了研究。由于不可能获得所获得的非线性微分方程组的精确解析解,因此在具有谐波激励的电子模型上进行了求解。基于对电子模型的研究结果,使用MatLab计算机建模系统,很难确定各种参数的比率及其可能在大范围内的变化对系统本身行为的影响,因为以这种方式提出的问题将需要大量的计算机时间。因此,对具有线性化形式的和谐激励系统进行了研究。结论。建立了具有电动和弹性耦合的系统在和谐激励下的数学模型。在研究的基础上,建立了系统的幅频特性,并在此基础上建立了基于MatLab的电子(参考)溶液的结果的对应关系,建立了分析模型。
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STUDY OF SYSTEMS WITH ELECTRODYNAMIC AND ELASTIC CONNECTIONS UNDER HARMONIC EXCITATION
Abstract Purpose of the study is to analyze the operation of a mechanical system with the introduction of electrodynamic and elastic components into it to ensure that the operating modes of the latter go beyond the resonance modes. The tasks of the research involve the synthesis of the mathematical apparatus with the subsequent formation and analysis of the amplitude-frequency characteristics of the specified system. Research methods. The methodological basis of the work is the generalization and analysis of the known scientific results of the dynamics of systems in resonance modes and the use of a systematic approach. The analytical method and comparative analysis were used to form a scientific problem, form a goal and formulate research objectives. When creating empirical models, the main provisions of the dynamics of systems were used. The results of the study. Considering that the dynamic properties of the system depend on the presence or absence of an elastic connection of the transmission line, a combined system was subjected to research. Since it is impossible to obtain an exact analytical solution of the obtained system of nonlinear differential equations, the solution was carried out on an electronic model with harmonic excitation. Based on the results of studies on an electronic model, using the MatLab computer modeling system, it is difficult to establish the influence of the ratio of various parameters, with their possible variations in a large range, on the behavior of the system itself, since a question posed in this way will require a significant amount of computer time. Therefore, a study of the system with harmonious excitation in its linearized form was carried out. Conclusions. A mathematical model of the functioning of a system with electrodynamic and elastic coupling under harmonious excitation has been formed. On the basis of the research carried out, the amplitude-frequency characteristic of the system was built, with the help of which the correspondence of the results of the solution of the electronic (reference), built on the basis of MatLab, and the analytical models was established.
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