Nine-parameter path synthesis of planar four-bar mechanism with the aid of the general equation of coupler curve

IF 1.1 4区工程技术 Q4 THERMODYNAMICS

Thermal Science Pub Date : 2023-01-01 DOI:10.2298/tsci2304349m

Huseyin Mutlu

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引用次数: 0

Abstract

The design of a four-bar mechanism to generate a prescribed path with minimal error is possible by using the maximum number of parameters that are effective in the path synthesis of the mechanism. In this study, the design of four-bar mechanisms, which intersect the given path curve at nine points, was dealt with in two stages. In the first step, the kinematic equations of the mechanism were used to implement the preliminary design based on the five parameters and closed-form solving. Thus, all the possible solution values have been reached with five parameters. In the second stage, which is the final design, the general algebraic form of coupler curve, which is dependent on the nine dimensions of the mechanism and of the sixth order, was obtained. An objective function de-rived from the obtained equation is subjected to an optimization process with nine-parameters by using the dimensions obtained from the preliminary design as an initial value, and the error between the actual and the desired path is minimized. The efficiency of the method is shown by numerical example made by choosing difficult paths to produce four-bar mechanisms.

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基于连杆曲线一般方程的平面四杆机构九参数轨迹综合

通过在机构的路径综合中使用最大数量的有效参数，可以设计出以最小误差生成规定路径的四杆机构。在本研究中，四杆机构的设计分两个阶段进行，该机构与给定的路径曲线相交于九个点。首先，利用机构的运动方程进行基于5个参数和闭式求解的初步设计;因此，所有可能的解值都得到了五个参数。在第二阶段，即最终设计阶段，得到了依赖于机构九维六阶连杆曲线的一般代数形式。以初步设计得到的尺寸为初始值，对得到的目标函数进行9个参数的优化，使实际路径与期望路径的误差最小。通过选择困难路径生产四杆机构的数值算例，证明了该方法的有效性。

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来源期刊

Thermal Science 工程技术-热力学

CiteScore

2.70

自引率

29.40%

发文量

399

审稿时长

5 months

期刊介绍： The main aims of Thermal Science to publish papers giving results of the fundamental and applied research in different, but closely connected fields: fluid mechanics (mainly turbulent flows), heat transfer, mass transfer, combustion and chemical processes in single, and specifically in multi-phase and multi-component flows in high-temperature chemically reacting flows processes present in thermal engineering, energy generating or consuming equipment, process and chemical engineering equipment and devices, ecological engineering, The important characteristic of the journal is the orientation to the fundamental results of the investigations of different physical and chemical processes, always jointly present in real conditions, and their mutual influence. To publish papers written by experts from different fields: mechanical engineering, chemical engineering, fluid dynamics, thermodynamics and related fields. To inform international scientific community about the recent, and most prominent fundamental results achieved in the South-East European region, and particularly in Serbia, and - vice versa - to inform the scientific community from South-East European Region about recent fundamental and applied scientific achievements in developed countries, serving as a basis for technology development. To achieve international standards of the published papers, by the engagement of experts from different countries in the International Advisory board.