Linkage Characteristic Polynomials: Assembly Theorems, Uniqueness

1982 ◽  
Vol 104 (1) ◽  
pp. 11-20 ◽  
Author(s):  
H. S. Yan ◽  
A. S. Hall
Keyword(s):  
Characteristic Polynomial ◽  
Computer Aided Design ◽  
Characteristic Polynomials ◽  
Topological Information ◽  
Automated Recognition ◽  
Practical Applications ◽  
Kinematic Chains ◽  
Computer Aided ◽  
Aided Design ◽  
Insight Into

Several assembly theorems, for obtaining the linkage characteristic polynomial for a complex chain through a series of steps involving the known polynomials for subunits of the chain, are derived and presented. These theorems give insight into how the topological information concerning the linkage is stored in the polynomial and might contribute to the automated recognition of linkage structure in generalized computer-aided design programs. Based on graph theory, the characteristic polynomial cannot characterize the graph up to isomorphism. However, for practical applications in the field of linkage mechanisms, it is extremely likely that the characteristic polynomials are unique for closed connected kinematic chains without any overconstrained subchains.

scholarly journals Computer aided design and analysis on distributors in DAC columns

2018 ◽  
Vol 185 ◽  
pp. 00024 ◽  
Author(s):  
Chen-Jiann Lin ◽  
Tseng-Hsiang Tse ◽  
Liu-Cheng Che ◽  
Liang-Ming Tsai
Keyword(s):  
Computer Aided Design ◽  
Chemical Engineering ◽  
Mass Conservation ◽  
Packed Bed ◽  
Flow Fields ◽  
Parameter Analysis ◽  
Preparative Chromatography ◽  
Practical Applications ◽  
Computer Aided ◽  
Aided Design

Dynamic axial compression (DAC) columns are key elements in simulated moving bed, which is a chromatography process in drug industry and chemical engineering. In this study, rules for designing distributors are proposed based on mass conservation and validated by experiments, the computer aided design (CAD) and the computational fluid dynamics (CFD). Experimental works are conducted to choose feasible numerical parameters for simulations. In CFD, the transient laminar flow fields are governed by the momentum and species transport equations with Darcy's law to model the porous zone in the packed bed. Results show that CFD combined with CAD solid modelling is a good approach to explore detailed flow fields in DAC columns and carry out parameter analysis for innovative designs. For further testing and evaluation, a new model of compound distributor is designed, 3D printed and processed in factory for practical applications in preparative chromatography.

scholarly journals Use of State-of-the-Art Methods in the Architectural Design Process

2019 ◽  
Vol 11 (1) ◽  
pp. 179-182
Author(s):  
Dorottya Szilágyi ◽  
Nándor Bakai
Keyword(s):  
Design Process ◽  
Computer Aided Design ◽  
Architectural Design ◽  
State Of The Art ◽  
Computer Aided ◽  
Art Methods ◽  
Aided Design ◽  
Two Sides ◽  
Source Of Information ◽  
Insight Into

Abstract The following article summarizes a research with the intention to demonstrate the challenges that architecture students need to face throughout their design tasks. The study is also meant to contribute to the cognition of state-of-the-art methods that can help students with these emerging problems. The main source of information was a questionnaire. Students were asked about the duties they accomplish when completing a design, about their adopted design methods and about their thoughts on a future profession. As a complement, Interviews were conducted with professional architects from local studios. This allowed a deeper insight into the requirements that the two sides lay down for each other. The research charts how computer aided design could affect the difficulties that appear in the architectural design process.

Calculation of arbitrary tooth shapes to support gear design

2015 ◽  
Vol 231 (11) ◽  
pp. 2075-2079 ◽  
Author(s):  
Maximilian Zimmer ◽  
Michael Otto ◽  
Karsten Stahl
Keyword(s):  
Finite Element ◽  
Computer Aided Design ◽  
Point Cloud ◽  
Mathematical Framework ◽  
Practical Applications ◽  
Gear Design ◽  
Finite Element Software ◽  
Basic Law ◽  
Computer Aided ◽  
Aided Design

This article provides a mathematical framework based on the basic law of gear kinematics for calculating the tooth geometry of arbitrary gear types. The described algorithms are illustrated by means of practical applications, especially nonstandard gearings. The computed geometry is exported as a point cloud with integrated STEP-modeling. Thus, further analysis of the generated gear types are possible, e.g. by computer-aided design or finite-element software tools as well as manufacturing on 5-axis-CNC or forging machines.

Development of CAD-to-CAE Model Preparation Technology

2013 ◽  
Vol 459 ◽  
pp. 325-329
Author(s):  
Tetsuyuki Kubota ◽  
Peter Chow
Keyword(s):  
Computer Aided Design ◽  
Preparation Technology ◽  
Topological Information ◽  
3 Dimensional ◽  
3D Cad ◽  
Computer Aided ◽  
Long Time ◽  
Model Preparation ◽  
Solution Accuracy ◽  
Aided Design

This paper explains and demonstrates how to reduce time for preparation of 3-dimensional (3D) geometrical Computer-Aided-Engineering (CAE) model from 3D Computer-Aided-Design (CAD) data. In generally, CAE model preparation is labor intensive and takes long time. Main part of preparation work is simplification of 3D-CAD data to decrease mesh scale and without impacting the solution accuracy. The purpose of this study is to create automatic CAE model preparation technology for reduction of preparation time. In this study, automatic model preparation method is developed by using of geometrical and topological information of 3D-CAD data. Benchmark test is performed to proof the efficiency of the method.

scholarly journals Computer-aided design of resonance-free vibration systems

2018 ◽  
Vol 224 ◽  
pp. 04028
Author(s):  
Nikolai Muliukhin ◽  
Dmitriy Lobanov ◽  
Vladimir Grigoriev ◽  
Viktor Gartfelder
Keyword(s):  
Free Vibration ◽  
Computer Aided Design ◽  
Software Systems ◽  
Ansys Software ◽  
Computer Aided ◽  
Technical Specifications ◽  
The Subject ◽  
Aided Design ◽  
Insight Into

The article provides insight into application of vibration systems in different industries. Disadvantages of conventional devices and advantages of resonance-free vibration systems are revealed. Issues of simulating resonance-free vibration systems, determination of main parameters and technical specifications of operating elements on the example of piling vibrators are discussed. The article dwells upon issues of computer-aided design of vibration systems, power, strength and kinematic calculations of main structure elements in NX, Euler, Ansys software systems. The provided algorithm enables reducing labor intensity of designing resonance-free vibration systems, reducing product cost and increasing the design engineer’s performance. Prospects of further research on the subject matter are outlined.

scholarly journals Isogeometric analysis of two-dimensional piezoelectric structures

2013 ◽  
Vol 35 (1) ◽  
pp. 79-91
Author(s):  
Hoang H. Truong ◽  
Chien H. Thai ◽  
H. Nguyen-Xuan
Keyword(s):  
Isogeometric Analysis ◽  
Computer Aided Design ◽  
Present Method ◽  
Approximate Solutions ◽  
Conic Sections ◽  
Practical Applications ◽  
Computer Aided ◽  
Basic Functions ◽  
Piezoelectric Structures ◽  
Aided Design

The isogeometric analysis (IGA) that integrates Computer Aided Design(CAD) and Computer Aided Engineering (CAE) is found so far the effectively numerical tool for the analysis of a variety of practical problems. In this paper, we develop further the NURBS based isogeometric analysis framework for piezoelectric structures.The method employs the NURBS basis functions in both geometry representation and analysis. The main advantages of the present method are capable of handling the exactgeometry of conic sections and making the flexibility of refinement and degree elevationwith an arbitrary continuity of basic functions. These features results in high accuracy of approximate solutions for practical applications, especially piezoelectric problems. Three numerical examples are provided to validate excellent performance of the present method.

Synthesis of Kinematic Chains via Method of Cut-Set Matrix With Modulo-2 Operation

1973 ◽  
Vol 95 (3) ◽  
pp. 681-684 ◽  
Author(s):  
M. Huang ◽  
A. H. Soni
Keyword(s):  
Computer Aided Design ◽  
Tree Graph ◽  
Kinematic Chains ◽  
Tree Graphs ◽  
Computer Aided ◽  
Cut Set ◽  
Aided Design ◽  
High Degree

Method of cut-set matrix with modulo-2 operation is used to enumerate all possible tree graphs from a given tree graph. The typical kinematic chains corresponding to the tree graphs are the chains with cams and gears. The equations used to find the number of heavy edges (corresponding to cam or gear joints) and fine edges (corresponding to turning joints) required in the tree graphs are presented. A table of tree graphs and their corresponding cam kinematic chains is prepared. The method is potentially promising for computer-aided design application because of its simplicity, compact notation, and high degree of organization.

Synthesis of Deployable/Foldable Single Loop Mechanisms With Revolute Joints

2011 ◽  
Vol 3 (3) ◽  
Author(s):  
Zongquan Deng ◽  
Hailin Huang ◽  
Bing Li ◽  
Rongqiang Liu
Keyword(s):  
Computer Aided Design ◽  
Geometric Approach ◽  
Mobility Analysis ◽  
Design Models ◽  
Single Loop ◽  
Kinematic Chains ◽  
Design And Synthesis ◽  
Revolute Joints ◽  
Computer Aided ◽  
Aided Design

This paper presents a geometric approach for design and synthesis of deployable/foldable single loop mechanisms with pure revolute joints. The basic kinematic chains with symmetric mobility are first synthesized, and an intuitive geometric method is proposed for the mobility analysis of these kinematic chains. The deployable/foldable single loop mechanisms can be regarded as a combination of the basic kinematic chains with nontrivial mobility intersection, under this approach, the 5R to 8R single loop mechanisms with symmetric mobility are synthesized systematically. The method for determining the positions of the joint axes on polyhedral links is also proposed, so that the mechanism can be fully deployed or fully folded without suffering from physical interference. Under this framework, a class of novel deployable/foldable single loop mechanisms is developed. The computer-aided design models for typical examples are built to illustrate their feasibility.

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