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Ruled invariants and associated ruled surfaces of a space curve
Liu, Huili,Liu, Yixuan,Jung, Seoung Dal Elsevier 2019 Applied Mathematics and Computation Vol.348 No.-
<P><B>Abstract</B></P> <P>As we know, a ruled surface is the tangent ruled surface of a space curve if and only if its ruled distance density function vanishes identically; a ruled surface is the binormal ruled surface of a space curve if and only if its ruled translation density function vanishes identically. The ruled distance density function and translation density function are differential invariants of ruled surfaces in three dimensional Euclidean space. In this paper we give the necessary and sufficient condition of which a ruled surface is the principal normal ruled surface of a space curve using the theories of ruled invariants of ruled surface in three dimensional Euclidean space.</P>
Sensitive parameters’ optimization of the permanent magnet supporting mechanism
Yongguang Liu,Xiaohui Gao,Yixuan Wang,Xiaowei Yang 대한기계학회 2014 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.28 No.7
The fast development of the ultra-high speed vertical rotor promotes the study and exploration for the supporting mechanism. It hasbecome the focus of research that how to improve the speed and overcome the vibration when the rotors pass through the low-order criticalfrequencies. This paper introduces a kind of permanent magnet (PM) supporting mechanism and describes an optimization method ofits sensitive parameters, which can make the vertical rotor system reach 80000 r/min smoothly. Firstly we find the sensitive parametersthrough analyzing the rotor’s features in the process of achieving high-speed, then, study these sensitive parameters and summarize theregularities with the method of combining the experiment and the finite element method (FEM), at last, achieve the optimization methodof these parameters. That will not only get a stable effect of raising speed and shorten the debugging time greatly, but also promote theextensive application of the PM supporting mechanism in the ultra-high speed vertical rotors.
Danlei Qiao,Yixuan Zhang,Chang Su,Guoqiang Liu,Qingxiang Wang,Lei Wen 한국공업화학회 2023 Journal of Industrial and Engineering Chemistry Vol.124 No.-
Al-doped Fe-Mn and Ni-Mn based materials with P2-type layered structure has been synthesized andtested as a positive electrode material for rechargeable sodium batteries. The modification mechanismsof Al doping in Fe-Mn and Ni-Mn based materials have been discussed. The synthesized Al-doped Ni-Mnbased material Na0.67Mn0.8Ni0.16Al0.04O2 delivers a reversible capacity of 135.1 mAh g1, which correspondsto 92.1% of the initial capacity with excellent cyclability for 200 cycles. What’s more, it can stillremain a capacity of 96.2 mAh g1 at a current density of 2000 mA g1. When the voltage range increaseto 1.5 – 4.3 V, its initial discharge capacity can reach 190.3 mAh g1.
Kinematical invariants and applications for surfaces in three dimensional Euclidean space
정승달,Huili Liu,Yixuan Liu 대한수학회 2024 대한수학회논문집 Vol.39 No.3
In three dimensional Euclidean space we consider kinematical invariants of the surface which is generated by the motion of a planar curve, especially, the surface which is foliated by circles. At first we characterize the properties of single parameter plane with the theories of unit spherical curve in three dimensional Euclidean space. Then using these results we give the invariants and differential invariants, kinematical properties and some special examples of the surface foliated by circles. The methods established here can be used to the other kinds of the surface in three dimensional Euclidean space.
朱奕璇· ( Zhu Yixuan ),李光春· ( Lee Guangchun ),劉子陽 ( Liu Ziyang ) 한국동양예술학회 2019 동양예술 Vol.43 No.-
本文旨在探討國家品牌形象與産品設計競爭力對消費者購買意愿的影響, 幷將消費者的消費行爲分爲購買意愿與推薦意圖兩個層級, 通過構建以國家品牌形象與産品設計競爭力爲自變量, 消費者購買意愿與推薦意圖爲因變量的模型硏究國家品牌形象與産品設計競爭力分別對于消費者購買意愿、推薦意圖的影響。本硏究運用問卷調査法收集數据, 幷通過SPSS統計軟件進行了信度分析和效度分析, 使用了AMOS進行了構造方程式模型分析。 根据分析結果可以得出, 國家品牌形象與産品設計競爭力對于消費者購買意愿與推薦意圖均有顯著的影響。