论洛伦兹球的约束流形

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2020-07-01 DOI:10.2478/auom-2020-0017

Buşra Aktaş, Olgun Durmaz, Halit Gündoğan

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引用次数: 0

摘要

摘要机构结构方程的表达式对于机构最终位置的表示具有重要意义。此外，为了得到链的约束流形，还需要构造链的结构方程。本文确定了球面开链在洛伦兹空间中的结构方程和约束流形。根据第一连杆的因果性质，得到了球面开链的结构方程。然后，利用这些方程确定机构的约束流形。研究了这些流形的几何结构。

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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On Constraint Manifolds of Lorentz Sphere

Abstract The expression of the structure equation of a mechanism is significant to present the last position of the mechanism. Moreover, in order to attain the constraint manifold of a chain, we need to constitute the structure equation. In this paper, we determine the structure equations and the constraint manifolds of a spherical open-chain in the Lorentz space. The structure equations of spherical open chain with reference to the causal character of the first link are obtained. Later, the constraint manifolds of the mechanism are determined by means of these equations. The geometric constructions corresponding to these manifolds are studied.

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来源期刊

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.