Geometric Design of the Pinion with Two Circularly Arrayed Cylindrical Teeth for Roller Drives

2006 ◽  
Vol 505-507 ◽  
pp. 931-936
Author(s):  
Ta Shi Lai
Keyword(s):  
Coordinate Transformation ◽  
Geometric Design ◽  
The Real ◽  
Design Procedures ◽  
Roller Drive ◽  
New Type ◽  
Envelope Theory

This paper presents geometric design procedures for a new type of roller drive. Here, the pinion has two circularly arrayed cylindrical teeth instead of one circularly arrayed. This proposal is based on coordinate transformation and envelope theory, from which the epicycloid profiles are obtained. The centers of the cylindrical teeth of the pinion are determined by equidistant offset a distance 3 ρ (pinion-tooth radius). The real pinion profiles are the equidistant curve of the epicycloid profiles. Two examples are presented to demonstrate that this approach is feasible.

Geometric design of a pinion with two circularly arrayed conical teeth for roller drives

2006 ◽  
Vol 220 (9) ◽  
pp. 1405-1412 ◽  
Author(s):  
T-S Lai
Keyword(s):  
Mathematical Model ◽  
Coordinate Transformation ◽  
Geometric Design ◽  
Solid Modelling ◽  
Design Algorithm ◽  
Circular Arrays ◽  
Roller Drive ◽  
New Type ◽  
Design Case ◽  
Envelope Theory

This article presents a mathematical model and geometric design algorithm for a new type of roller drive. The pinion has conical teeth in two circular arrays instead of one. This work is based on coordinate transformation and envelope theory, from which the equation of meshing of the cycloid drive is derived. The pinion profiles are the equidistant curves of the epicycloid profiles except the contour of the pinion conical tooth holes. Although there are twice as many pinion teeth as conventional rollers, their speed ratios are identical. This approach can design roller drives in which the pinion has two circular arrays of conical and cylindrical rollers. On the basis of these results, the corresponding solid modelling is constructed by CAD. Four examples are presented to demonstrate the feasibility of this approach. These examples can be a useful reference as a design case for other tooth profiles.

Features of geometric design of planetary rotary hydraulic machines with satellite stands

2020 ◽  
pp. 472-478
Author(s):  
D.V. Fadyushin ◽  
G.Yu. Volkov
Keyword(s):  
Three Dimensional ◽  
Geometric Design ◽  
Design System ◽  
Link Mechanism ◽  
Hydraulic Machines ◽  
New Type ◽  
Geometric Calculation

А method of geometric calculation of a new type of planetary rotary hydraulic machines (PRGM) with satellite stands is developed. The method includes the steps of: 1) calculation of the initial round-link mechanism; 2) calculation of non-round links of the PRGM with outstretches; 3) construction and integration of three-dimensional design system COMPAS-3D fragments of crenellated crowns corresponding to the phases of abutments and lifting-lowering satellites; 4) correction of the toothed contours to eliminate the phenomenon of mismatch of satellite centers with the points of intersection of the trajectories of these centers in their movement relative to the rotor and stator. PRGM with satellite stands are designed to operate as vacuum pumps, compressors and pneumatic motors.

scholarly journals EXPERIMENTAL ONLINE CASE STUDY FOR A BREAKTHROUGH IN STUDENT ENGAGEMENT: FOCUS GROUP RESULTS

2019 ◽  
Vol 8 (3) ◽  
Author(s):  
James Theroux ◽  
Cari Carpenter ◽  
Clare Kilbane
Keyword(s):  
Student Engagement ◽  
Focus Group ◽  
Real Time ◽  
Group Discussion ◽  
Full Time ◽  
The Real ◽  
Building Process ◽  
New Type ◽  
The Subject

A new type of case study, called the real-time case (RTC), was produced in the fall of 2001 and distributed via the Internet to business classes at four universities in the US and Canada. The real-time case presented the story of one company's growth and development throughout a 14-week semester. A case writer stationed full-time at the subject company published case installments weekly on the Web, allowing students to view the company-building process as it happened. The 14-week coverage of RTC enabled students to study the subject company in unprecedented depth and detail. RTC's real-time interactivity allowed students to share their analyses and best thinking with the company leadership during the company’s decision-making process.A major objective in producing the case was to heighten student engagement with the case material. To evaluate whether this objective was achieved, a survey and a focus group discussion were conducted with one of the participating MBA classes. Results from the survey and the focus group showed a high degree of engagement, plus many other benefits from the new type of case study.

scholarly journals Pseudo-hermitian random matrix theory: a review

2021 ◽  
Vol 2038 (1) ◽  
pp. 012009
Author(s):  
Joshua Feinberg ◽  
Roman Riser
Keyword(s):  
Real Axis ◽  
Complex Plane ◽  
Random Matrix Theory ◽  
Random Matrix ◽  
Matrix Theory ◽  
Complex Conjugate ◽  
Indefinite Metric ◽  
The Real ◽  
New Type ◽  
Diagrammatic Method

Abstract We review our recent results on pseudo-hermitian random matrix theory which were hitherto presented in various conferences and talks. (Detailed accounts of our work will appear soon in separate publications.) Following an introduction of this new type of random matrices, we focus on two specific models of matrices which are pseudo-hermitian with respect to a given indefinite metric B. Eigenvalues of pseudo-hermitian matrices are either real, or come in complex-conjugate pairs. The diagrammatic method is applied to deriving explicit analytical expressions for the density of eigenvalues in the complex plane and on the real axis, in the large-N, planar limit. In one of the models we discuss, the metric B depends on a certain real parameter t. As t varies, the model exhibits various ‘phase transitions’ associated with eigenvalues flowing from the complex plane onto the real axis, causing disjoint eigenvalue support intervals to merge. Our analytical results agree well with presented numerical simulations.

Deployability Conditions for Curved and Flat, Polygonal and Trapezoidal Deployable Structures

1993 ◽  
Vol 8 (1-2) ◽  
pp. 97-106 ◽  
Author(s):  
C.J. Gantes ◽  
R.D. Logcher ◽  
J.J. Connor ◽  
Y. Rosenfeld
Keyword(s):  
Structural Analysis ◽  
Regular Polygon ◽  
Geometric Design ◽  
Geometric Constraints ◽  
Design Criteria ◽  
Deployable Structures ◽  
Design Procedures ◽  
Curved Structures ◽  
Space Frames ◽  
Flat Structures

Prefabricated, deployable space frames that exhibit self-standing and stress-free states in both the deployed and collapsed configurations are investigated in this paper. This type of deployable structures shows considerable advantages as compared to previous designs that either required external stabilizing or had members with residual stresses in the deployed configuration. Following previous developments for flat deployable structures consisting of units with regular-polygon planviews, this study deals with flat structures made of trapezoidals, and curved structures assembled from regular-polygonal units. First, the general geometric constraints and deployability conditions for these units are formulated, and a methodology for using these constraints as geometric design criteria is presented. Furthermore, additional conditions for the assemblage of single units into larger structures are given. Then, structural analysis issues for this type of structures are discussed. The necessity of nonlinear analysis during deployment is emphasized. Finally, the above geometric design procedures are demonstrated with specific examples.

Design of Automobile Driving Trainer Simulated Gearbox

2013 ◽  
Vol 312 ◽  
pp. 66-68
Author(s):  
Su Jun Luo ◽  
Xue Ling Zhang ◽  
Shu Feng Chai
Keyword(s):  
Automobile Driving ◽  
Practical Application ◽  
Manual Gearbox ◽  
The Real ◽  
New Type

According to the work principle of the automobile manual gearbox, the author has designed a new type of automobile driving trainer simulated gearbox. The principle of the simulation of various organization compositions of gearbox and the simulation of the feeling to the real organization function and the operation dynamics are introduced, and the practical application effect of the simulated gearbox has been summarized at last.

Research on Kinematic of the Wheel-Legged Robot Based on Uneven Road Surface

2013 ◽  
Vol 712-715 ◽  
pp. 2312-2319
Author(s):  
Ping Peng ◽  
Xiao Jun Zhang ◽  
Jun Zhang ◽  
Zhe Liu
Keyword(s):  
Mobile Robot ◽  
Simulation Experiment ◽  
Disaster Relief ◽  
Road Surface ◽  
Legged Robot ◽  
Kinematics Analysis ◽  
The Real ◽  
Gas Leakage ◽  
Structure Feature ◽  
New Type

A new type of wheel-legged mobile robot is presented in the paper, which is mainly used for early toxic gas leakage warning and disaster relief in the field of wild environment. The paper first presents the structure feature of the new wheel-legged mobile robot. According to the structure of the robot, the kinematics model about robot moving on the smoothing-riding surface is built. On this basis, considering the effects of the disturbance by uneven road surface the paper carries out the robots kinematics analysis. To simulate the result of robot moving on the real road surface, the paper researches on the robots kenimatics by inputing some typical ground driving to the robot. The result of the simulation experiment shows that the robot pose error is more increasing. So the influence of ground disturbance to robot should be took into account in designing the control symstem, which can decrease the pose error and make robot move more accurately.

scholarly journals Pointwise density topology

2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Magdalena Górajska
Keyword(s):  
Real Line ◽  
Pointwise Convergence ◽  
Baire Property ◽  
Density Topology ◽  
Borel Set ◽  
Convergence In Measure ◽  
The Real ◽  
Measurable Set ◽  
New Type ◽  
Lebesgue Measurable Set

AbstractThe paper presents a new type of density topology on the real line generated by the pointwise convergence, similarly to the classical density topology which is generated by the convergence in measure. Among other things, this paper demonstrates that the set of pointwise density points of a Lebesgue measurable set does not need to be measurable and the set of pointwise density points of a set having the Baire property does not need to have the Baire property. However, the set of pointwise density points of any Borel set is Lebesgue measurable.

scholarly journals The Image of the city in Italian chapels of the 15th century (a study of Benozzo Gozzoli’s fresco cycles)

2020 ◽  
Author(s):  
Е.И. Тараканова
Keyword(s):  
Real Situation ◽  
The Real ◽  
15Th Century ◽  
The Social ◽  
New Type ◽  
The Subject ◽  
Renaissance Italy ◽  
The City ◽  
New Buildings

Образ города, предстающий в расписанных Беноццо Гоццоли капеллах, фиксирует в себе достижения изобразительного искусства, архитектуры и градостроительства в эпоху Кватроченто. В статье впервые прослеживается эволюция изображений городских видов и конкретных сооружений во фресковых циклах, выполненных мастером в Риме, Умбрии и Тоскане. Представление образа города в творчестве Гоццоли связано с решением перспективных задач, реальной ренессансной городской действительностью, особенностями заказа и личностью художника. Проанализированы разные ракурсы и масштабы в изображении городов, а также варианты их символического прочтения как в контексте священной истории, так и современных Беноццо событий. Показано, как в его творчестве новое ренессансное искусство сочетается с наследием античности и интернациональной готики. The subject of this article is an ideal city in Italy of the Early Renaissance. Starting with the first decades of the 15th century the erecting a new buildings at cities, primarily in Florence which was at that time a very progressive part of Italy, could be seen as a tendency to realize a perfect city on the basis of humanistic conceptions. Even the real situation when medieval patterns of planning and building combined with Renaissance elements in Florence was interpreted from an idealized perspective: the social and political superiority of Florentine Republic seems interflowed with its perfect appearance. Despite the fact that a new type of the city as architectural and planning whole was not devised in Renaissance Italy, the model of an ideal city was being successfully developed there in Quattrocento treatises on architecture and vedutas. The author of this article examines the principles underlying the idea of such city with optimal potentialities for man to fulfill its predestination on Earth as it was presented concepts of humanism.

scholarly journals Entangled Particles Spinning on the Black Hole Horizon

2020 ◽  
Author(s):  
Mostafa Bousder
Keyword(s):  
Black Hole ◽  
Kinetic Energy ◽  
Entanglement Entropy ◽  
Point Of View ◽  
Black Hole Horizon ◽  
Extremal Black Hole ◽  
The Real ◽  
New Type

In this paper, we present a technique to unify the Reissner–Nordstr¨om metric and the Kerr–Newman metric. We construct a specifific model and calculate the entanglement entropy of black horizon. We are interested in the entangled particle and antiparticle spinning on the black hole horizon. The two Reissner-Nordstr¨om horizons r±, are the results of the rotation of several entangled particle-antiparticle on the real horizon. The energy absorbed by a black hole is transformed into a kinetic energy of the entangled particle-antiparticles. This study provides a new type of black hole metric. We show that the rotation of an entangled system of a particle and an antiparticle can create a extremal black hole. We also explore some of the implications of this point of view for the black hole entanglement.

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