A Special Solution of Spatial Straightness for Four Datapoints

2012 ◽  
Vol 562-564 ◽  
pp. 544-547
Author(s):  
Fan Wu Meng ◽  
Chun Guang Xu ◽  
Juan Hao
Keyword(s):  
Linear System ◽  
Initial Conditions ◽  
Three Dimensional ◽  
The Novel ◽  
Form Error ◽  
Novel Approach ◽  
Minimum Zone ◽  
Effectiveness And Efficiency ◽  
Non Linear System ◽  
Straightness Error

Assessment of spatial straightness error is one of the most difficult tasks in form error evaluation, especially when the minimum zone three-dimensional (3D) straightness is decided by four datapoints. This paper develops a solution that can transform the non-linear system into a linear system. To solve the linear indeterminate system of equations, a method of factor fixed is proposed. Given adequate initial conditions, this solution will be the exact solution. The effectiveness and efficiency of the novel approach are illustrated by two examples.

A Linear Algorithm of Spatial Straightness for Five Points

2012 ◽  
Vol 490-495 ◽  
pp. 1888-1892
Author(s):  
Fan Wu Meng ◽  
Chun Guang Xu ◽  
Juan Hao
Keyword(s):  
Traditional Method ◽  
Linear Problem ◽  
Initial Conditions ◽  
The Novel ◽  
Novel Approach ◽  
Non Linear Equation ◽  
Non Linear ◽  
Minimum Zone ◽  
Effectiveness And Efficiency ◽  
Straightness Error

It is a non-linear problem to evaluate the minimum zone spatial (3-D) straightness. Because of the disadvantages of evaluating spatial straightness error with traditional method, such as difficulty in solving the non-linear equation, the evaluating precision is lower. This paper develops a solution that can transform the non-linear problem into a linear problem. The solution can obtain more exact results than traditional method using results of LSC as initial conditions. This methodology can also be applied to the problems of computing the minimum circumscribed cylinder and the maximum inscribed cylinder. The effectiveness and efficiency of the novel approach are illustrated by two examples.

Algorithm for Spatial Straightness Evaluation Using Theories of Linear Complex Chebyshev Approximation and Semi-infinite Linear Programming

2005 ◽  
Vol 128 (1) ◽  
pp. 167-174 ◽  
Author(s):  
LiMin Zhu ◽  
Ye Ding ◽  
Han Ding
Keyword(s):  
Linear Programming ◽  
Chebyshev Approximation ◽  
Approximation Problem ◽  
Linear Complex ◽  
Infinite Linear Programming ◽  
Minimum Zone ◽  
Effectiveness And Efficiency ◽  
Primal And Dual ◽  
Straightness Error ◽  
Infinite Linear

This paper presents a novel methodology for evaluating spatial straightness error based on the minimum zone criterion. Spatial straightness evaluation is formulated as a linear complex Chebyshev approximation problem, and then reformulated as a semi-infinite linear programming problem. Both models for the primal and dual programs are developed. An efficient simplex-based algorithm is employed to solve the dual linear program to yield the straightness value. Also a general algebraic criterion for checking the optimality of the solution is proposed. Numerical experiments are given to verify the effectiveness and efficiency of the presented algorithm.

A “Novel” Approach to the Moral Dimension of Leadership

2012 ◽  
pp. 289-309 ◽  
Author(s):  
Soma Kamal Tandon
Keyword(s):  
Insider Trading ◽  
Three Dimensional ◽  
The Novel ◽  
Ethical Perspective ◽  
Leadership Theories ◽  
Ethical Egoism ◽  
Deontological Ethics ◽  
Novel Approach ◽  
Current Scenario ◽  
The Devil

In recent times ethics and leadership have become dominant concerns in business. The foundations of the business establishment have been shaken by the examples of insider trading, manipulative accounting, and blatant fraud. The cause of ethical compromise can often be traced to the failure on the part of the leadership to actively promote ethical ideals and practices. In the current scenario, it is therefore, essential to give training on ethical leadership. This chapter adopts a three dimensional approach integrating the novel The Devil and Miss Prym into the study of ethics by exploring various related leadership theories. It harnesses the multifaceted nature of literature, which presents the interaction of a variety of characters with radically different beliefs, desires, and behaviours, thus increasing the complexity of an ethical dilemma. Charismatic and Servant leadership have been mapped to virtue ethics. Transactional leadership adopts ethical egoism as an ethical perspective. The transformational leader adopts the utilitarianism approach. Authentic leadership is based on altruistic principles. Deontological ethics is explained with Value Centered leadership. A thematic analysis of the novel has been done to exemplify the components of the leadership theories with an ethical perspective.

Form Error Evaluation: An Iterative Reweighted Least Squares Algorithm*

2004 ◽  
Vol 126 (3) ◽  
pp. 535-541 ◽  
Author(s):  
Xiangyang Zhu ◽  
Han Ding ◽  
Michael Y. Wang
Keyword(s):  
Least Squares ◽  
Weighted Least Squares ◽  
Chebyshev Approximation ◽  
Approximation Problem ◽  
General Purpose ◽  
Geometric Features ◽  
Error Evaluation ◽  
Form Error ◽  
Minimum Zone ◽  
Effectiveness And Efficiency

This paper establishes the equivalence between the solution to a linear Chebyshev approximation problem and that of a weighted least squares (WLS) problem with the weighting parameters being appropriately defined. On this basis, we present an algorithm for form error evaluation of geometric features. The algorithm is implemented as an iterative procedure. At each iteration, a WLS problem is solved and the weighting parameters are updated. The proposed algorithm is of general-purpose, it can be used to evaluate the exact minimum zone error of various geometric features including flatness, circularity, sphericity, cylindericity and spatial straightness. Numerical examples are presented to show the effectiveness and efficiency of the algorithm.

scholarly journals APPROXIMATE SOLUTIONS OF DAMPED NON LINEAR SYSTEM WITH VARYING PARAMETER AND DAMPING FORCE

2019 ◽  
pp. 13-18
Author(s):  
REZAUL KARIM ◽  
PINAKEE DEY ◽  
SOMI AKTER ◽  
MOHAMMAD ASIF AREFIN ◽  
SAIKH SHAHJAHAN MIAH
Keyword(s):  
Approximate Solution ◽  
Dynamical Systems ◽  
Linear System ◽  
Harmonic Balance ◽  
Initial Conditions ◽  
Nonlinear Differential Equations ◽  
Approximate Solutions ◽  
Damping Force ◽  
Kbm Method ◽  
Non Linear System

The study of second-order damped nonlinear differential equations is important in the development of the theory of dynamical systems and the behavior of the solutions of the over-damped process depends on the behavior of damping forces. We aim to develop and represent a new approximate solution of a nonlinear differential system with damping force and an approximate solution of the damped nonlinear vibrating system with a varying parameter which is based on Krylov–Bogoliubov and Mitropolskii (KBM) Method and Harmonic Balance (HB) Method. By applying these methods we solve and also analyze the finding result of an example. Moreover, the solutions are obtained for different initial conditions, and figures are plotted accordingly where MATHEMATICA and C++ are used as a programming language.

APPLICATION OF ABRASIVE-WATER JET TECHNOLOGY FOR MATERIAL SCULPTURING

2010 ◽  
Vol 34 (3-4) ◽  
pp. 389-400 ◽  
Author(s):  
Przemyslaw J. Borkowski
Keyword(s):  
Water Pressure ◽  
Three Dimensional ◽  
Water Jet ◽  
The Novel ◽  
Abrasive Water Jet ◽  
Two Dimensional Image ◽  
Novel Approach ◽  
Novel Method ◽  
Experimental Testbed ◽  
Different Levels

This paper presents a novel method for the 3D sculpturing of different materials using a high-pressure abrasive water jet. The approach involves scanning an image, such as a photograph, and relating the color values of each pixel in the resulting bitmap image to the feed rate of the water jet. Keeping all other parameters such as stand-off distance and water pressure constant, different water jet feed rates will causes different levels of erosion of material. As a result, a three-dimensional sculptured surface will be realized from a two-dimensional image. The paper describes a mathematical model for shaping the material, as well as the experimental testbed used to test the novel approach. Also presented are methodical and experimental erosion results as well as a particular example of bas-relief made of metal.

The Novel Approach "One Drive for Multi-Plate " in Lifting Garage System Design

2013 ◽  
Vol 483 ◽  
pp. 647-651
Author(s):  
Guang Wei Chen
Keyword(s):  
System Design ◽  
Three Dimensional ◽  
Mechanical Analysis ◽  
The Novel ◽  
Traditional Design ◽  
Novel Approach ◽  
Waste Energy ◽  
Working Principle ◽  
Fall Protection ◽  
The Cost

Mechanical lifting garage is designed to achieve a variety of vehicles parked automatically and scientific storage storage facilities. Because the traditional design need one drives for each plate, it waste energy and increase the cost. This paper introduces the course of development of the lifting garage, status and various types of three-dimensional garage features. Then it takes two floors with five parking spaces lifting garage as an example, describing the working principle, the mechanical analysis, the main connection point of framework, and the driveline design. The design innovative use "one drive for multi-plate", reasonable design to achieve the lifting of the garage and pan. In addition, in order to ensure the safety of vehicles and personnel of the design also incorporates the gantry fall protection and other safety devices.

Three-Dimensional Fuzzy Controller and its Optimizing

2012 ◽  
Vol 562-564 ◽  
pp. 1712-1719
Author(s):  
Wei Wei Pan ◽  
Jia Xin Chen
Keyword(s):  
Linear System ◽  
Control Algorithm ◽  
Fuzzy Controller ◽  
Three Dimensional ◽  
Good Control ◽  
High Order ◽  
Control Effect ◽  
Practical Applications ◽  
Simulation Results ◽  
Non Linear System

The design methods of a kind of three-dimensional fuzzy controller and reasoning rules of its control algorithm, and the relevant simplification technology of three-dimensional table have been advanced in this paper. Self-optimized algorithm of the fuzzy controller has also been presented. The simulation results of high-order non-linear system and test of its practical applications have shown its good control effect.

Fabrication of biopolymer nanofibers from natural sources

2021 ◽  
pp. 004051752110550
Author(s):  
Ahmed Abutaleb ◽  
Vimalanathan ArunPrasanna
Keyword(s):  
Three Dimensional ◽  
Electrospun Nanofibers ◽  
Toxic Substances ◽  
The Novel ◽  
Butylene Succinate ◽  
Natural Sources ◽  
Three Dimensional Printing ◽  
Novel Approach ◽  
New Ideas ◽  
Dimensional Printing

The methods available for the disposal of synthetic polymers are not advanced in an environment-friendly way. Consequently, their waste persists as a non-degradable pollutant that discharges toxic substances, which have now reached the deepest parts of the ocean. As an alternative, biopolymers such as polylactic acid, polyhydroxyalkanoates, and poly(butylene succinate), synthesized from natural sources such as plants, animals, and microbes, are an eco-friendly option, as they are biodegradable and a better option to shift from synthetic polymer dependency. The fabrication of electrospun nanofibers (NFs) using biopolymers is a novel approach, by which new ideas have been proposed in various fields, such as agriculture, biomedical, food packing, textiles, adsorption, drug delivery, three-dimensional printing, etc. Electrospun NFs are receiving increasing attention due to their diverse properties, including flexibility. This review provides a perception of the novel biopolymers that are currently utilized by the electrospun technique and their various applications.

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