Algebraic Algorithm for the Kinematic Analysis of Slider-Crank/Rocker Mechanisms

2012 ◽  
Vol 4 (1) ◽  
Author(s):  
Giorgio Figliolini ◽  
Marco Conte ◽  
Pierluigi Rea
Keyword(s):  
Kinematic Analysis ◽  
Algebraic Curves ◽  
Algebraic Form ◽  
Complex Algebra ◽  
Geometric Invariants ◽  
Matlab Code ◽  
Algebraic Forms ◽  
Implicit And Explicit ◽  
First Time

This paper deals with the formulation and validation of a comprehensive algebraic algorithm for the kinematic analysis of slider-crank/rocker mechanisms, which is based on the use of geometric loci, as the fixed and moving centrodes, along with their evolutes, the cubic of stationary curvature and the inflection circle. In particular, both centrodes are formulated in implicit and explicit algebraic forms by using the complex algebra. Moreover, the algebraic curves representing the moving centrodes are recognized and proven to be Jeřábek’s curves for the first time. Then, the cubic of stationary curvature along with the inflection circle are expressed in algebraic form by using the instantaneous geometric invariants. Finally, the proposed algorithm has been implemented in a MATLAB code and significant numerical and graphical results are shown, along with the particular cases in which these geometric loci degenerate in lines and circles or give cycloidal positions.

Algebraic Algorithm for the Kinematic Analysis of Slider-Crank/Rocker Mechanisms

2010 ◽  
Author(s):  
Giorgio Figliolini ◽  
Marco Conte ◽  
Pierluigi Rea
Keyword(s):  
Kinematic Analysis ◽  
Algebraic Curves ◽  
Algebraic Form ◽  
Complex Algebra ◽  
Geometric Invariants ◽  
Matlab Code ◽  
Algebraic Forms ◽  
Implicit And Explicit ◽  
First Time

This paper deals with the formulation of an algebraic algorithm for the kinematic analysis of slider-crank/rocker mechanisms, which is based on the use of geometric loci, as the fixed and moving centrodes, the cubic of stationary curvature and the inflection circle. In particular, both centrodes are formulated in implicit and explicit algebraic forms by using the complex algebra. Moreover, the algebraic curves representing the moving centrodes are also recognized and proven to be Jerˇa´bek’s curves for the first time. Then, the cubic of stationary curvature along with the inflection circle are expressed in algebraic form by using the geometric invariants. Finally, the proposed algorithm has been implemented in a Matlab code and interesting numerical and graphical results are shown along with some particular cases in which the geometric loci degenerate in lines and circles.

Mass Flow and Derivative Moment of Inertia Flow in Planar (Geared) Linkages

1992 ◽  
Author(s):  
Zhonghe Ye ◽  
M. R. Smith
Keyword(s):  
Mass Flow ◽  
Kinematic Analysis ◽  
Moment Of Inertia ◽  
Force Balance ◽  
New Concepts ◽  
Prismatic Joints ◽  
Planar Linkages ◽  
First Time ◽  
Shaking Moment

Abstract The paper describes a method for the determination of the conditions for the complete shaking force and shaking moment balancing of planar linkages, including geared linkages, with revolute and prismatic joints. The conditions may be written down without the need for any kinematic analysis of the linkage by the application of two new concepts. These are the concept of mass flow for complete shaking force balance and the concept of derivative moment of inertia flow for complete shaking moment balance, the second of which is described here for the first time. A number of examples demonstrate the power of the method.

scholarly journals Applying coordinate fixed Denavit–Hartenberg method to solve the workspace of drilling robot arm

2018 ◽  
Vol 15 (4) ◽  
pp. 172988141879328 ◽  
Author(s):  
Feng Ding ◽  
Cong Liu
Keyword(s):  
Coordinate Transformation ◽  
Kinematic Analysis ◽  
Robot Arm ◽  
Functional Requirements ◽  
Core Component ◽  
Actual Structure ◽  
The Core ◽  
Drilling Equipment ◽  
Intelligent Technology ◽  
First Time

Drilling robot is a piece of large rock drilling equipment that integrates mechanical, electrical, and hydraulic technique, and it is a significant device for drilling and blasting. The drilling robot arm is the core component of the robot. To get intuitive and accurate modeling method to overcome the problem of the classic Denavit–Hartenberg method, for instance, the model mismatches the entity. The coordinate system fixed on the entity of Denavit–Hartenberg notation that is named coordinate-fixed Denavit–Hartenberg is creatively presented. The coordinate-fixed Denavit–Hartenberg method not only improves the accuracy and operability of kinematic analysis but also solves the workspace of drilling robot arm effectively. The drilling robot from an intelligent technology company in China is taken as the research example in this article. The homogeneous coordinate transformation matrix of each link rod is established through reasonably simplifying drilling robot arm as a multijoint structure. The coordinate-fixed Denavit–Hartenberg method is utilized for the first time in determining and verifying the kinematics equation of drilling robot arm. The kinematics equation is employed to obtain the effective workspace of drilling robot arm. The analysis results demonstrate that the design of drilling robot arm reaches the need of workspace in the actual structure as well as meets the functional requirements of drilling robot.

Evaluative Dimensions of Urban Tourism in Capital Cities by First-Time Visitors

2019 ◽  
pp. 524-538
Author(s):  
Annamaria Silvana de Rosa ◽  
Laura Dryjanska ◽  
Elena Bocci
Keyword(s):  
Social Representations ◽  
Urban Tourism ◽  
Previous Knowledge ◽  
Policy Makers ◽  
Capital Cities ◽  
Integrative Framework ◽  
The Social ◽  
Before And After ◽  
Implicit And Explicit ◽  
First Time

This chapter evaluates the social representations of historic European capital cities, comparing it before and after the first-time visit that took place in the period from 2011 to 2013. Based on the set of empirical data, it presents and discusses the integrative framework for evaluation of a city conceived as a resource in responsible urban tourism. In particular, the social representations of Madrid, London, and Warsaw by 420 visitors from seven different EU and non-EU countries (France, Germany, Italy, Poland, Spain, United Kingdom, and United States) are examined according to the modelling approach to the theory of social representations, focusing on the evaluative dimension present in an implicit and explicit way. Understanding how tourists assess the resource that they access, based on previous knowledge as opposed to direct experience, shall lay ground for enabling the policy makers and city planners to take into account the expectations of visitors while pursuing urban tourism development in the geo-cultural locations of European capital cities.

Evaluative Dimensions of Urban Tourism in Capital Cities by First-Time Visitors

2018 ◽  
pp. 4064-4076
Author(s):  
Annamaria Silvana de Rosa ◽  
Laura Dryjanska ◽  
Elena Bocci
Keyword(s):  
Social Representations ◽  
Urban Tourism ◽  
Previous Knowledge ◽  
Policy Makers ◽  
Capital Cities ◽  
Integrative Framework ◽  
The Social ◽  
Before And After ◽  
Implicit And Explicit ◽  
First Time

This chapter is dedicated to evaluative component of the social representations of historic European capital cities, comparing it before and after the first-time visit that took place in the period from 2011 to 2013. Based on the set of empirical data, it presents and discusses the integrative framework for evaluation of a city conceived as a resource in responsible urban tourism. In particular, the social representations of Madrid, London and Warsaw by 420 visitors from seven different EU and non-EU countries (France, Germany, Italy, Poland, Spain, United Kingdom and United States) are examined according to the modelling approach to the theory of social representations, focusing on the evaluative dimension present in an implicit and explicit way. Understanding how tourists assess the resource that they access, based on previous knowledge as opposed to direct experience, shall lay ground for enabling the policy makers and city planners to take into account the expectations of visitors while pursuing urban tourism development in the geo-cultural locations of European capital cities.

scholarly journals Thinking Process of Pseudo Construction in Mathematics Concepts

2016 ◽  
Vol 9 (2) ◽  
pp. 17 ◽  
Author(s):  
Subanji Subanji ◽  
Toto Nusantara
Keyword(s):  
High School Students ◽  
Junior High School ◽  
Student Thinking ◽  
Integer Number ◽  
School Students ◽  
Mathematical Concepts ◽  
Algebraic Form ◽  
First Case ◽  
Algebraic Forms ◽  
Main Instrument

<p class="apa">This article aims at studying pseudo construction of student thinking in mathematical concepts, integer number operation, algebraic forms, area concepts, and triangle concepts. 391 junior high school students from four districts of East Java Province Indonesia were taken as the subjects. Data were collected by means of distributing the main instrument and tracer instrument to the subjects respectively. Both instruments were deployed for the purpose of digging up the construction process. The construction was clustered on the basis of the pseudo contruction cases and followed with in-depth interviews to three subjects of each case. The findings show that pseudo construction was identified in four cases. The first case was associated with integer operations, operations of algebraic form, the concept of area, and the concept of triangle. They used analogy of “in debt” to construct concepts of negative number operation. In the second case, they used objects (book, pencil, and thing) to describe variables in the algebraic form operation. For the third case, students deciphered unit area (<em>m</em><sup>2</sup>) as multiplication <em>m</em> x <em>m</em>. In the fourth case, students did not pay attention to the requirements of the triangle. Although they gave a right answer to their work, their construction concept was completely false.</p>

KINEMATIC ANALYSIS AND PROTOTYPE OF A METAMORPHIC ANTHROPOMORPHIC HAND WITH A RECONFIGURABLE PALM

2011 ◽  
Vol 08 (03) ◽  
pp. 459-479 ◽  
Author(s):  
GUOWU WEI ◽  
JIAN S. DAI ◽  
SHUXIN WANG ◽  
HAIFENG LUO
Keyword(s):  
Closed Form ◽  
Matrix Equation ◽  
Kinematic Analysis ◽  
Structure Design ◽  
Characteristic Matrix ◽  
Robotic Hand ◽  
Closed Form Solutions ◽  
First Time

A novel metamorphic anthropomorphic hand is for the first time introduced in this paper. This robotic hand has a reconfigurable palm that generates changeable topology and augments dexterity and versatility of the hand. Structure design of the robotic hand is presented and based on mechanism decomposition kinematics of the metamorphic anthropomorphic hand is characterized with closed-form solutions leading to the workspace investigation of the robotic hand. With characteristic matrix equation, twisting motion of the metamorphic robotic hand is investigated to reveal both dexterity and manipulability of the metamorphic hand. Through a prototype, grasping and prehension of the robotic hand are tested to illustrate characteristics of the new metamorphic anthropomorphic hand.

Meshed Chaos Mapping-Based Newton Iteration Method of Mechanism Synthesis

2011 ◽  
Vol 55-57 ◽  
pp. 688-691
Author(s):  
Xiao Yi Che ◽  
Qi Yuan Liu ◽  
You Xin Luo ◽  
Bin Zeng
Keyword(s):  
Kinematic Analysis ◽  
Mapping Method ◽  
Initial Guess ◽  
Mechanism Synthesis ◽  
Newton Iterative Method ◽  
All Solutions ◽  
Sensitive Dependence ◽  
Approximate Synthesis ◽  
Newton Iteration Method ◽  
First Time

Kinematic analysis is fundamental for the mechanism synthesis. The kinematic analysis of mechanism is attributed to find the solutions of the nonlinear equations and this process is very difficult. Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. For the first time, a new method based on utilizing meshed chaos mapping method to obtain locate initial points to find all solutions of the nonlinear questions was proposed. The numerical examples in linkage synthesis and approximate synthesis show that the method is correct and effective.

Implicit Memory in the Tactile Modality: Evidence From Braille Stem Completion in the Blind

1996 ◽  
Vol 7 (5) ◽  
pp. 284-288 ◽  
Author(s):  
Stephan B. Hamann
Keyword(s):  
Implicit Memory ◽  
Stem Completion ◽  
Perceptual Priming ◽  
Completion Task ◽  
Modal Component ◽  
Tactile Modality ◽  
Implicit And Explicit ◽  
First Time

Research on perceptual priming has previously focused exclusively on priming in the visual and auditory modalities The present study explored whether perceptual priming also extends to the tactile modality Tactile priming for Braille words was examined in a group of blind participants, using a Braille analogue of the stem-completion task The results for tactile priming paralleled previous stem-completion results in other modalities Manipulating the encoding task at study (semantic vs nonsemantic) dissociated implicit and explicit Braille stem-completion performance, and priming was unaffected by the number of study presentations (one vs three) Finally, Braille stem-completion priming was found in a cross-modal paradigm to have both a specifically tactile component and a cross-modal component These results demonstrate for the first time that verbal priming can occur in the tactile domain and that tactile priming has basic functional similarities with stem-completion priming in the visual and auditory domains

Synchronization in mutual-coupled temporal Boolean networks

2017 ◽  
Vol 40 (7) ◽  
pp. 2211-2216 ◽  
Author(s):  
Qiang Wei ◽  
Cheng-jun Xie
Keyword(s):  
Theoretical Analysis ◽  
Tensor Product ◽  
Sufficient Conditions ◽  
Boolean Networks ◽  
Necessary And Sufficient Conditions ◽  
Complete Synchronization ◽  
Logical Relationship ◽  
Algebraic Form ◽  
Algebraic Forms ◽  
Necessary And Sufficient

In this paper, we first propose a mutual-coupled temporal Boolean networks model and then investigate complete synchronization in mutual-coupled temporal Boolean networks. The mutual-coupled temporal Boolean networks model with logical relationship is converted into an algebraic form based on a semi-tensor product. Necessary and sufficient conditions are derived to realize synchronization based on the algebraic forms. An example illustrates the effectiveness of the theoretical analysis.

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