Hügelschäffer鸡蛋曲线和表面

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics Pub Date : 2022-05-28 DOI:10.2298/AADM220526027P

Maja M. Petrović, Branko J. Malesevic

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引用次数: 1

摘要

在本文中，我们考虑H？gelsch？ffer三次曲线，其使用适当的几何构造生成。这项工作的主要结果是使用椭圆积分显式计算三次曲线卵形部分的面积的模式。在本文中，我们还分析了H？gelsch？三次曲线的ffer曲面，我们为其提供了卵形零件体积和表面积的新形式的公式。卵形曲线和曲面在航空工程和建筑中具有广泛的适用性，也具有重要的生物学意义。关于这一点，在最后一节中，我们考虑一些H？gelsch？ffer模型。

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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Hügelschäffer egg curve and surface

In this paper we consider H?gelsch?ffer cubic curves which are generated using appropriate geometric constructions. The main result of this work is the mode of explicitly calculating the area of the egg-shaped part of the cubic curve using elliptic integrals. In this paper, we also analyze the H?gelsch?ffer surface of cubic curves for which we provide new forms of formulae for the volume and surface area of the egg-shaped part. Curves and surfaces of ovoid shape have wide applicability in aero-engineering and construction, and are also of biologic importance. With respect to this, in the final section, we consider some examples of the real applicability of this H?gelsch?ffer model.

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来源期刊

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).