scholarly journals Construction and Enumeration of Circuits Capable of Guiding a Miniature Vehicle

2016 ◽  
Vol 3 (6) ◽  
pp. 5-42
Author(s):  
Jérôme Bastien
Keyword(s):  
Arbitrary Number ◽  
Geometric Constraints ◽  
Exact Enumeration ◽  
The Creation ◽  
Minimal Number Of Pieces ◽  
Explicit Enumeration

Abstract In contrast to traditional toy tracks, a patented system allows the creation of a large number of tracks with a minimal number of pieces, and whose loops always close properly. These circuits strongly resemble traditional self-avoiding polygons (whose explicit enumeration has not yet been resolved for an arbitrary number of squares) yet there are numerous differences, notably the fact that the geometric constraints are different than those of self-avoiding polygons. We present the methodology allowing the construction and enumeration of all of the possible tracks containing a given number of pieces. For small numbers of pieces, the exact enumeration will be treated. For greater numbers of pieces, only an estimation will be offered. In the latter case, a randomly construction of circuits is also given. We will give some routes for generalizations for similar problems.

The Creation of a Multi-Link Load Balancing Mechanism for Planetary Gearing: Part 2 — Optimum Mechanism Selection and Dimension Determination

1992 ◽  
Author(s):  
Zhang Hong ◽  
Wei-qing Cao ◽  
Ting Li Yang ◽  
Jin Kui Chu
Keyword(s):  
Load Balancing ◽  
Arbitrary Number ◽  
Uniform Load ◽  
Topological Structures ◽  
Optimum Load ◽  
New Type ◽  
The Common ◽  
The Creation ◽  
Set Up

Abstract This paper is the second of a series of two papers which designed a new type of load balancing mechanisms for planetary gearings with arbitrary number of planets. In this paper the common expression of the non-uniform load share factor was deduced, and a function parameter:force-arm factor and their solution was given. That makes it possible that the dimensions and the ability of load equilibrium of Multi-Link Load Balancing Mechanisms can be determined. The criteria of optimum load balancing Mechanisms selection were set up with consider of the effects of turning pair clearances, and optimum mechanisms were selected among the 15 candidates obtained in Part 1. Finally, it was demonstrated that the optimum multi-link load balancing mechanisms for arbitrary number of planets had the similar topological structures and same function and performence of load equilibrium.

scholarly journals Direct Digital Subtractive Manufacturing of a Functional Assembly Using Voxel-Based Models

2017 ◽  
Vol 140 (2) ◽  
Author(s):  
Roby Lynn ◽  
Mahmoud Dinar ◽  
Nuodi Huang ◽  
James Collins ◽  
Jing Yu ◽  
...  
Keyword(s):  
Process Planning ◽  
Computer Aided Design ◽  
Complex Geometry ◽  
Geometric Constraints ◽  
Machining Process ◽  
Layer By Layer ◽  
User Input ◽  
Computer Aided ◽  
Subtractive Manufacturing ◽  
The Creation

Direct digital manufacturing (DDM) is the creation of a physical part directly from a computer-aided design (CAD) model with minimal process planning and is typically applied to additive manufacturing (AM) processes to fabricate complex geometry. AM is preferred for DDM because of its minimal user input requirements; as a result, users can focus on exploiting other advantages of AM, such as the creation of intricate mechanisms that require no assembly after fabrication. Such assembly free mechanisms can be created using DDM during a single build process. In contrast, subtractive manufacturing (SM) enables the creation of higher strength parts that do not suffer from the material anisotropy inherent in AM. However, process planning for SM is more difficult than it is for AM due to geometric constraints imposed by the machining process; thus, the application of SM to the fabrication of assembly free mechanisms is challenging. This research describes a voxel-based computer-aided manufacturing (CAM) system that enables direct digital subtractive manufacturing (DDSM) of an assembly free mechanism. Process planning for SM involves voxel-by-voxel removal of material in the same way that an AM process consists of layer-by-layer addition of material. The voxelized CAM system minimizes user input by automatically generating toolpaths based on an analysis of accessible material to remove for a certain clearance in the mechanism's assembled state. The DDSM process is validated and compared to AM using case studies of the manufacture of two assembly free ball-in-socket mechanisms.

The Creation of a Multi-Link Load Balancing Mechanism for Planetary Gearing: Part 1 — Type Synthesis

1992 ◽  
Author(s):  
Zhang Hong ◽  
Ting Li Yang ◽  
Jin Kui Chu ◽  
Wei-qing Cao
Keyword(s):  
Load Balancing ◽  
Arbitrary Number ◽  
Degrees Of Freedom ◽  
Kinematic Structure ◽  
Type Synthesis ◽  
Kinematic Chains ◽  
Topological Parameters ◽  
Topological Characteristics ◽  
The Creation

Abstract This series of papers design a multi-link load balancing mechanism for the Planetary Gearings with arbitrary number of planet gears. Based on the study of SGP load balancing mechanisms, this paper analyzed the relations between the function and kinematic structure of the multilink load balancing mechanism, and presented the topological characteristics and parameters of the kinematic chains suited for load balancing mechanism. Those topological parameters depend on the number of planet gears. In the type synthesis for the case of six planet gears, the kinematic chains with five degrees of freedom and eighteen links were enumerated according to the topological characteristics. The resulting mechanisms were 15 candidate multi-link load balancing mechanism.

An Exact Enumeration Method to Find d-MPs in Multistate Networks

2019 ◽  
Vol 26 (06) ◽  
pp. 1950026
Author(s):  
Yi-Kuei Lin ◽  
Shin-Guang Chen
Keyword(s):  
Network Reliability ◽  
Low Cost ◽  
Real Life ◽  
General Purpose ◽  
Optimal Number ◽  
Exact Enumeration ◽  
Good Efficiency ◽  
Popular Method ◽  
Reliability Calculation ◽  
Explicit Enumeration

The enumeration approaches are important topics in network reliability calculation. For general purposes, the explicit enumeration (EE) is the popular method to apply. However, the low-cost feature of EE sacrifices its efficiency. A great improvement of EE is the invention of fast enumeration (FE), which creates a low-cost way of general purpose enumeration method with very good efficiency for applications. But for the enumeration in network reliability calculation, the optimal number of enumerations can be shown to be [Formula: see text], where [Formula: see text] is the number of minimal paths and [Formula: see text] is the demand of flow. FE still has the complexity far greater than the optimal one. This paper proposes an exact enumeration method for network reliability calculation, which has the complexity no greater than [Formula: see text]. This method greatly improves the enumeration efficiency than FE. So, it is believed to be very valuable to the large real-life applications. Benchmarks are made to show the efficiency of the proposed method.

scholarly journals Lozenge Tilings of a Halved Hexagon with an Array of Triangles Removed from the Boundary, Part II

10.37236/7502 ◽  
2018 ◽  
Vol 25 (4) ◽  
Author(s):  
Tri Lai
Keyword(s):  
Explicit Formula ◽  
Triangular Lattice ◽  
Arbitrary Number ◽  
Symmetry Axis ◽  
The Other ◽  
Exact Enumeration ◽  
Common Generalization ◽  
Plane Partitions ◽  
Boundary Part ◽  
Lozenge Tilings

Proctor's work on staircase plane partitions yields an exact enumeration of lozenge tilings of a halved hexagon on the triangular lattice. Rohatgi later extended this tiling enumeration to a halved hexagon with a triangle cut off from the boundary. In his previous paper, the author proved  a common generalization of Proctor's and Rohatgi's results by enumerating lozenge tilings of a halved hexagon in the case an array of an arbitrary number of triangles has been removed from a non-staircase side. In this paper we consider the other case when the array of triangles has been removed from the staircase side of the halved hexagon. Our result also implies an explicit formula for the number of tilings of a hexagon with an array of triangles removed perpendicularly to the symmetry axis.

The role of affect in feelings of obligation

2020 ◽  
Vol 43 ◽  
Author(s):  
Stefen Beeler-Duden ◽  
Meltem Yucel ◽  
Amrisha Vaish
Keyword(s):  
Positive Emotions ◽  
The Creation ◽  
Sense Of Obligation

Abstract Tomasello offers a compelling account of the emergence of humans’ sense of obligation. We suggest that more needs to be said about the role of affect in the creation of obligations. We also argue that positive emotions such as gratitude evolved to encourage individuals to fulfill cooperative obligations without the negative quality that Tomasello proposes is inherent in obligations.

Haydn: The Creation

1991 ◽  
Author(s):  
Nicholas Temperley
Keyword(s):  
The Creation
Sign in / Sign up

Export Citation Format

Share Document