Logarithmic Spiral

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Hong Bo Yan - One of the best experts on this subject based on the ideXlab platform.

  • Gear visual inspection system and application in Logarithmic Spiral bevel gear
    Fourth International Conference on Machine Vision (ICMV 2011): Machine Vision Image Processing and Pattern Analysis, 2012
    Co-Authors: Yi Liu, Hong Bo Yan
    Abstract:

    The system uses machine vision technology to inspect Logarithmic Spiral bevel gears. This is a new non-contact measurement technique with high precision and efficiency. Use two cameras in a different location to shoot two images of gear, and collect gear images into the computer. Use correspondence between feature points of two images and optical imaging geometric model to solve three-dimensional coordinates of the tooth surface points. Then, discriminate the tooth shape by comparing to ideal surface point parameters. This kind of inspection method flexibility and provides technical support for processing, detection and correction of Logarithmic Spiral bevel gears.

  • dynamic contact emulate analysis of Logarithmic Spiral bevel gear with ansys ls dyna
    Applied Mechanics and Materials, 2011
    Co-Authors: Hong Bo Yan
    Abstract:

    For a new type of bevel gear-Logarithmic Spiral bevel gear, which stress mechanical properties are studied during the meshing process. Three-dimensional meshing models of Logarithmic Spiral bevel gear are established by Pro/ E. Because its tooth trace is conical Logarithmic Spiral, the paper proposes a new modeling method and successfully constructs the engagement model. Based on this, the gear dynamic contact emulation analysis is operated with ANSYS/LS-DYNA software in order to obtain stress distribution in the process of tooth contact. The tooth contact stress and tooth root bending stress magnitude, stress distribution and variation of cloud are analyzed. Contacting engineering practice, the results are in-depth study. Thus it can provide the theory basis for design and the application of this kind of new bevel gear.

  • Original Research on Logarithmic Spiral Bevel Gear
    Applied Mechanics and Materials, 2011
    Co-Authors: Hong Bo Yan, Zi Liang Wei
    Abstract:

    In this article, Logarithmic Spiral curve is successfully applied to bevel gear transmission and used as dentiform line of helicoid bevel gear. Put forward a novel Logarithmic Spiral bevel gear drive. Because Spiral angle on each point of Logarithmic Spiral curve is constant, the problem of variational Spiral angle is solved faultlessly. Analyze the basic characteristics of Logarithmic Spiral curve and demonstrates the condition of the Logarithmic Spiral curve used as pitch curve. Put forward the new kind of transmission form of Logarithmic Spiral bevel gear and it makes up the deficiency in current bevel gear transmission area.

  • Dynamic Contact Emulate Analysis of Logarithmic Spiral Bevel Gear with ANSYS/LS-DYNA
    Applied Mechanics and Materials, 2011
    Co-Authors: Hong Bo Yan
    Abstract:

    For a new type of bevel gear-Logarithmic Spiral bevel gear, which stress mechanical properties are studied during the meshing process. Three-dimensional meshing models of Logarithmic Spiral bevel gear are established by Pro/ E. Because its tooth trace is conical Logarithmic Spiral, the paper proposes a new modeling method and successfully constructs the engagement model. Based on this, the gear dynamic contact emulation analysis is operated with ANSYS/LS-DYNA software in order to obtain stress distribution in the process of tooth contact. The tooth contact stress and tooth root bending stress magnitude, stress distribution and variation of cloud are analyzed. Contacting engineering practice, the results are in-depth study. Thus it can provide the theory basis for design and the application of this kind of new bevel gear.

  • A New Method of Constructing Tooth Surface for Logarithmic Spiral Bevel Gear
    Applied Mechanics and Materials, 2011
    Co-Authors: Zi Liang Wei, Hong Bo Yan
    Abstract:

    In this article it constructs tooth surface equation of a new type of bevel gear which is Logarithmic Spiral bevel gear by the tooth trace and the tooth profile curve with space geometric knowledge. By means of the CAD software which can intuitively understand the complex curves and surfaces and the MATLAB software platform, it makes the complex mathematical theory be easier to understand and apply correctly, and verifies the correctness of the tooth surface equations.

Tieming Xiang - One of the best experts on this subject based on the ideXlab platform.

  • the meshing angular velocity and tangential contact force simulation for Logarithmic Spiral bevel gear based on hertz elastic contact theory
    Journal of Mechanical Science and Technology, 2016
    Co-Authors: Tieming Xiang
    Abstract:

    To obtain the change tendency of output angular velocity and tangential contact force of a gear when the pinion under the step input during meshing of a new type of Spiral bevel gear, which is a Logarithmic Spiral bevel gear, the tooth flank equation of Logarithmic Spiral bevel gear is deduced based on the formation mechanism of the tooth flank formation. A three-dimensional model of a pair of Logarithmic Spiral bevel gears whose number of teeth was 37:9, with modules being 4.5 mm, normal pressure angle being 20 degrees and Spiral angle being 35 degrees were built and assembled. Based on Hertz elastic contact theory, the calculation formulas and parameters sets of contact force for conventional Spiral bevel gear meshing simulation and Logarithmic Spiral bevel gear meshing simulation were done. Consider the dynamic simulation about meshing angular velocity and tangential contact force for conventional Spiral bevel gear meshing and Logarithmic Spiral bevel gear meshing, respectively. Finally, by analyzing and comparing the simulation data, the results show that under the same input conditions, the fluctuation of the gear angular velocity and tangential contact force of Logarithmic Spiral bevel gear meshing are smaller than the conventional Spiral bevel gear. That is, the transmission stationary of Logarithmic Spiral bevel gear meshing is superior to conventional Spiral bevel gear.

  • accurate modeling of Logarithmic Spiral bevel gear based on the tooth flank formation and boolean addition operation
    Proceedings of the Institution of Mechanical Engineers Part B: Journal of Engineering Manufacture, 2016
    Co-Authors: Tieming Xiang, Lizhi Gu, Leilei Xiao
    Abstract:

    The Logarithmic Spiral bevel gear is a new type of Spiral bevel gear and has received great attention in the industry for its excellent engineering characteristics. The objective of this study is t...

Qiang Li - One of the best experts on this subject based on the ideXlab platform.

  • The Machining Simulation of High-Tooth Logarithmic Spiral Bevel Gear
    Applied Mechanics and Materials, 2014
    Co-Authors: Qiang Li, Li Li
    Abstract:

    Logarithmic Spiral bevel gear is the Spiral bevel gear whose tooth line is Logarithmic Spiral line. It helixes angle along the direction of tooth length equal everywhere. Due to the high-tooth Spiral bevel gear has significant advantages of high transmission stability, these gear are more widely used in our country, especially in the transport sector. But compared to general Spiral bevel gear, its complexity space meshing theory leads that it is different to process. In order to ensure that machining process is reasonable and achievable, we show that how to create tools, geometry and procedures and calculate the tool path simulation based on Siemens UG CAM.

  • Calculation Equation of Tooth Face of Shaping Gear for Logarithmic Spiral Bevel Gear
    Applied Mechanics and Materials, 2012
    Co-Authors: Qiang Li, Gao Wei Yang
    Abstract:

    According to the processing principle of the Spiral bevel gear, analyzed the relative motion of cutter and workpiece in process. Combing the feature of Logarithmic Spiral bevel gear, this paper took the advantage of the gyration vector expansion to derivate the tooth surface equation of Logarithmic Spiral bevel gear shaping gear and deduced the meshing equation.

  • Logarithmic Spiral Bevel Gear Tooth Contact Inspection
    Applied Mechanics and Materials, 2010
    Co-Authors: Qiang Li, Wen He, Hong Xiang Zhang
    Abstract:

    Introduction of Spiral bevel gear tooth contact detection method, detection method based on the principle of EPG in the Y9550-type bevel gear roll tester on a pair of Spiral bevel gear tooth contact area of sample detection experiment, obtained by experiment Logarithmic Spiral bevel gear contact area of the location, shape and size of the result. The experimental results with the Gleason Spiral bevel gear contact area and the ideal number of Spiral bevel gears on the contact area were compared, obtained on the number of Spiral bevel gear tooth contact of the correlation.

  • a new method of constructing tooth surface for Logarithmic Spiral bevel gear
    Advanced Materials Research, 2010
    Co-Authors: Qiang Li, Hai Yan Hu
    Abstract:

    For a new type of bevel gear—Logarithmic Spiral bevel gear, establish its tooth direction curves and the mathematical model of tooth surface equation. With CAD software platform which can intuitive understanding of complex curves and combined with conical Logarithmic Spiral parameter equation build the Logarithmic Spiral on cone surface. Then array Logarithmic Spiral to make them evenly distributed in the cone surface, without any interference and to meet the strength distribution on both ends of circular truncated cone equally. Use two Logarithmic Spirals from different starpoint as tooth direction curves of lift and right tooth surface. Finally, use space geometric knowledge to build tooth surface equation by tooth direction curves and tooth profile curves.

  • solving method of contact area for Logarithmic Spiral bevel gear
    Key Engineering Materials, 2010
    Co-Authors: Qiang Li
    Abstract:

    Introduces the solution method of Logarithmic Spiral bevel gear contact area, based on the Logarithmic Spiral bevel gear model divides any tooth, acquiring coordinate values, and then on the basis of Hertz contact theory, combined with elliptic functions, we found the solution method of a Logarithmic Spiral bevel gear contact area, and make judgment and shearing on the border of the contact area, which lays the foundation of solving the location, size and shape of the contact area on Logarithmic Spiral bevel gear.

Andrea Neto - One of the best experts on this subject based on the ideXlab platform.

  • Radiation of Logarithmic Spiral Antennas in the Presence of Dense Dielectric Lenses
    IEEE Transactions on Antennas and Propagation, 2016
    Co-Authors: Alessandro Garufo, Nuria Llombart, Andrea Neto
    Abstract:

    In this paper, the performance of Logarithmic Spiral antennas as feeds of dense dielectric lens are investigated in detail. The performances are evaluated in terms of clean symmetric radiation patterns, high polarization purity, antenna efficiency, and radiation dispersivity. A Logarithmic Spiral antenna placed in the dielectric-air interface can provide high aperture efficiencies over large bandwidths if coupled to a synthesized elliptical lens. The use of an air gap increases the directivity of the Spiral radiation inside the dielectric allowing for lens directive patterns without sidelobes and reducing the dispersivity of the radiated pulse. The directivity enhancement of the fields inside the dielectric is validated by the measurement of a prototype. The highest frequency at which these antennas can be fed by a planar microstrip line is limited by the thickness of the microstrip substrate.

  • Improvement of the radiation efficiency in a Logarithmic Spiral lens antenna
    2014 IEEE Antennas and Propagation Society International Symposium (APSURSI), 2014
    Co-Authors: Alessandro Garufo, Nuria Llombart, Andrea Neto
    Abstract:

    This paper shows a comparison a comparison in terms of gain of a lens fed by a standard Logarithmic Spiral antenna, and its enhanced version including an air gap.

Che Ting Chan - One of the best experts on this subject based on the ideXlab platform.

  • Broadband Microwave Absorption by Logarithmic Spiral Metasurface
    Scientific Reports, 2019
    Co-Authors: Shubo Wang, Bo Hou, Che Ting Chan
    Abstract:

    Metamaterials have enabled the design of electromagnetic wave absorbers with unprecedented performance. Conventional metamaterial absorbers usually employ multiple structure components in one unit cell to achieve broadband absorption. Here, a simple metasurface microwave absorber is proposed that has one metal-backed Logarithmic Spiral resonator as the unit cell. It can absorb >95% of normally incident microwave energy within the frequency range of 6 GHz–37 GHz as a result of the scale invariant geometry and the Fabry-Perot-type resonances of the resonator. The thickness of the metasurface is 5 mm and approaches the Rozanov limit of an optimal absorber. The physics underlying the broadband absorption is discussed. A comparison with Archimedean Spiral metasurface is conducted to uncover the crucial role of scale invariance. The study opens a new direction of electromagnetic wave absorption by employing the scale invariance of Maxwell equations and may also be applied to the absorption of other classical waves such as sound.

  • broadband microwave absorption by Logarithmic Spiral metasurface
    arXiv: Applied Physics, 2018
    Co-Authors: Shubo Wang, Bo Hou, Che Ting Chan
    Abstract:

    We propose to use Logarithmic Spiral resonators for efficient absorption of microwaves. By combining their scale invariant geometries and Fabry-Perot-type resonances stemming from the fundamental TM mode, we realize a microwave metasurface with broadband absorption performance. The metasurface comprises Logarithmic Spiral resonators backed with a metallic surface and it can absorb >95% of incident microwave energy within the frequency range of 6 GHz - 37 GHz. We discuss the physics underlying the broadband absorption and the crucial role of vortex energy flow. The study opens a new direction of electromagnetic wave absorption by employing the scale invariance of Maxwell equations.