The Experts below are selected from a list of 12558 Experts worldwide ranked by ideXlab platform
Tatsuya Yamashita - One of the best experts on this subject based on the ideXlab platform.
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singularities of Tangent Surfaces to generic space curves
Journal of Geometry, 2017Co-Authors: Goo Ishikawa, Tatsuya YamashitaAbstract:We give the complete solution to the local diffeomorphism classification problem of generic singularities which appear in Tangent Surfaces, in as wider situations as possible. We interpret Tangent geodesics as Tangent lines whenever a (semi-)Riemannian metric, or, more generally, an affine connection is given in an ambient space of arbitrary dimension. Then, given an immersed curve, we define the Tangent Surface as the ruled Surface by Tangent geodesics to the curve. We apply the characterization of frontal singularities found by Kokubu, Rossman, Saji, Umehara, Yamada, and Fujimori, Saji, Umehara, Yamada, and found by the first author related to the procedure of openings of singularities.
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affine connections and singularities of Tangent Surfaces to space curves
arXiv: Differential Geometry, 2015Co-Authors: Goo Ishikawa, Tatsuya YamashitaAbstract:We give the complete solution to the local diffeomorphism classification problem of generic singularities which appear in Tangent Surfaces, in as wider situations as possible. We interpret Tangent geodesics as Tangent lines whenever a (semi-)Riemannian metric, or, more generally, an affine connection is given in an ambient space of arbitrary dimension. Then, given an immersed curve, or, more generally a directed curve or a frontal curve which has well-defined Tangent directions along the curve, we define the Tangent Surface as the ruled Surface by Tangent geodesics to the curve. We apply the characterization of frontal singularities found by Kokubu, Rossman, Saji, Umehara, Yamada, and Fujimori, Saji, Umehara, Yamada, and found by the first author related to the procedure of openings of singularities.
Goo Ishikawa - One of the best experts on this subject based on the ideXlab platform.
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singularities of Tangent Surfaces to generic space curves
Journal of Geometry, 2017Co-Authors: Goo Ishikawa, Tatsuya YamashitaAbstract:We give the complete solution to the local diffeomorphism classification problem of generic singularities which appear in Tangent Surfaces, in as wider situations as possible. We interpret Tangent geodesics as Tangent lines whenever a (semi-)Riemannian metric, or, more generally, an affine connection is given in an ambient space of arbitrary dimension. Then, given an immersed curve, we define the Tangent Surface as the ruled Surface by Tangent geodesics to the curve. We apply the characterization of frontal singularities found by Kokubu, Rossman, Saji, Umehara, Yamada, and Fujimori, Saji, Umehara, Yamada, and found by the first author related to the procedure of openings of singularities.
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affine connections and singularities of Tangent Surfaces to space curves
arXiv: Differential Geometry, 2015Co-Authors: Goo Ishikawa, Tatsuya YamashitaAbstract:We give the complete solution to the local diffeomorphism classification problem of generic singularities which appear in Tangent Surfaces, in as wider situations as possible. We interpret Tangent geodesics as Tangent lines whenever a (semi-)Riemannian metric, or, more generally, an affine connection is given in an ambient space of arbitrary dimension. Then, given an immersed curve, or, more generally a directed curve or a frontal curve which has well-defined Tangent directions along the curve, we define the Tangent Surface as the ruled Surface by Tangent geodesics to the curve. We apply the characterization of frontal singularities found by Kokubu, Rossman, Saji, Umehara, Yamada, and Fujimori, Saji, Umehara, Yamada, and found by the first author related to the procedure of openings of singularities.
Donald R Holt - One of the best experts on this subject based on the ideXlab platform.
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periodic electromagnetic fields for finding the propagation constant of coaxial air lines with Surface roughness and ohmic wall loss
Metrologia, 2009Co-Authors: Donald R HoltAbstract:Maxwell's equations in the context of Floquet's theorem for construction of a sequence of periodic precision air lines with Surface roughness and ohmic resistance in the conductor walls offer a solution for finding the propagation constants in correspondence to the principal transverse magnetic mode. Boundary conditions to define Surface roughness and ohmic wall loss through a Tangent Surface vector expression to incorporate composite axial and radial electromagnetic field components enable the construction of a system determinant to extract the propagation constant.
J E Baker - One of the best experts on this subject based on the ideXlab platform.
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fixed axode of a linkage coupler its central Tangent Surface and its parameter of distribution
Proceedings of the Institution of Mechanical Engineers Part K: Journal of Multi-body Dynamics, 2006Co-Authors: J E BakerAbstract:AbstractIntrinsic to the fixed axode traced by the instantaneous screw axis of a linkage coupler are measures which quantify aspects of the body's higher-order kinematics. One such entity, held to be fundamental, is the parameter of distribution of the ruled Surface. An integral feature of the instantaneous screw, however, is its own pitch which must be nullified in the customary method for investigating the Surface. Not only is there value in retaining this pitch in the interest of easing algebraic manipulation of consequent expressions, but doing so allows the discovery of important relationships involving the central Tangent Surface of the axode and the pitch of its typical generator.
Yankun Wang - One of the best experts on this subject based on the ideXlab platform.
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new modeling method of spiral bevel gears with spherical involute based on catia
Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series, 2010Co-Authors: Zhaobin Hong, Zhaojun Yang, Xuecheng Zhang, Yankun WangAbstract:Based on the generating principle of generating line of spiral bevel gears with spherical involute, a new method for building the model of spiral bevel gears with spherical involute is presented by utilizing the modules of part design, assembly design and kinematic simulation in CATIA. In the part design module of CATIA, the models of base cone, Tangent Surface, and generating line are built respectively. And the built models are assembled in the assembly environment; the simulation of pure rolling is accomplished in the environment of kinematics; and the model of the gear Surface is built using the function of tracks. Then the solid model of the spiral bevel gear is built through the functions of transferring the model's file format, multi-section sweep and solid fill. Finally, the analysis to the performance of the bevel gear transmission is conducted. In the environment of the assembly design, the solid model of the gearwheel and the pinion are inserted respectively, and then the assembly is accomplished by applying the constraints. And in the environment of kinematics, the meshing simulation of the bevel gear pair is accomplished by applying angle drive. The research indicates that this method can build the model of spiral bevel gears accurately and rapidly, and the model can illustrate the gearing correctly.