On constraint manifolds of planar and spherical mechanisms in Lorentzian space

IF 4.5 1区工程技术 Q1 ENGINEERING, MECHANICAL

Mechanism and Machine Theory Pub Date : 2024-11-28 DOI:10.1016/j.mechmachtheory.2024.105858

Buşra Aktaş

引用次数: 0

Abstract

This study aims to investigate the algebraic forms of the constraint manifolds of

4 R

and

6 R

planar and spherical closed chains in Lorentzian space. For this purpose, firstly, the structure equations of closed chains are obtained by using the structure equations of planar and spherical open chains in Lorentzian space. Then, using these equations, the algebraic forms of the constraint manifolds of

4 R

and

6 R

planar and spherical closed chains in spacelike and timelike mechanisms are constructed and it is shown which curves these manifolds correspond to.

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洛伦兹空间中平面和球面机构的约束流形

研究了洛伦兹空间中4R和6R平面和球面闭链约束流形的代数形式。为此，首先利用洛伦兹空间中平面和球面开链的结构方程，得到了闭链的结构方程；然后，利用这些方程，构造了类空机构和类时机构中4R和6R平面和球面闭链的约束流形的代数形式，并给出了这些流形所对应的曲线。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mechanism and Machine Theory 工程技术-工程：机械

CiteScore

9.90

自引率

23.10%

发文量

450

审稿时长

20 days

期刊介绍： Mechanism and Machine Theory provides a medium of communication between engineers and scientists engaged in research and development within the fields of knowledge embraced by IFToMM, the International Federation for the Promotion of Mechanism and Machine Science, therefore affiliated with IFToMM as its official research journal. The main topics are: Design Theory and Methodology; Haptics and Human-Machine-Interfaces; Robotics, Mechatronics and Micro-Machines; Mechanisms, Mechanical Transmissions and Machines; Kinematics, Dynamics, and Control of Mechanical Systems; Applications to Bioengineering and Molecular Chemistry