Profiling Method of Side Mill for Threading Screw for Dental Implants

2013 ◽  
Vol 837 ◽  
pp. 22-27 ◽  
Author(s):  
Silviu Berbinschi ◽  
Nicuşor Baroiu ◽  
Virgil Teodor ◽  
Nicolae Oancea
Keyword(s):  
Dental Implants ◽  
Analytical Method ◽  
Fundamental Theorem ◽  
Graphical Method ◽  
Grinding Wheels ◽  
Numerical Examples

In this paper, it is analyzed, in a comparative way, two methods for profiling disc tools (mills or grinding wheels) for generation of specific threads used in the construction of the prosthetic screw for dental implants. It is proposed an analytical method, based on the fundamental theorem of the surfaces enveloping versus a graphical method, developed in CATIA. They are presented numerical examples for the both methods.

CAD Method for Profiling Helical Surfaces of Parts Used in the Orthopaedic Reconstruction Surgery

2013 ◽  
Vol 587 ◽  
pp. 431-435
Author(s):  
Nicuşor Baroiu ◽  
Mihai Atudorei ◽  
Silviu Berbinschi ◽  
Virgil Teodor
Keyword(s):  
Analytical Method ◽  
Fundamental Theorem ◽  
Graphical Method ◽  
General Character ◽  
Reconstruction Surgery

In orthopedics are used a lot of specialized tools and reconstructive elements. Many of these are tools bounded by helical surfaces, significantly different from those used in similarly constructions with general character. There are analyzed, in a comparative way, two methods for profiling side mill tools for generation of specific threads used in the construction of the orthopaedic prosthetic screw. It is proposed an analytical method, based on the fundamental theorem of the surfaces enveloping versus a graphical method, developed in CATIA.

KINEMATICS AND WORKSPACE ANALYSIS OF A 3 DEGREE OF FREEDOM PARALLEL MECHANISM WITH PARALLELOGRAM LINKAGE

2017 ◽  
Vol 41 (5) ◽  
pp. 922-935
Author(s):  
HongJun San ◽  
JunSong Lei ◽  
JiuPeng Chen ◽  
ZhengMing Xiao ◽  
JunJie Zhao
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Analytical Method ◽  
Theoretical Basis ◽  
Parallel Mechanism ◽  
Graphical Method ◽  
Degree Of Freedom ◽  
Workspace Analysis ◽  
Fixed Base ◽  
Moving Platform

In this paper, a 3-DOF translational parallel mechanism with parallelogram linkage was studied. According to the space vector relation between the moving platform and the fixed base, the direct and inverse position solutions of this mechanism was deduced through analytical method. In addition, the error of the algorithm was analyzed, and the algorithm had turned out to be effective and to have the satisfactory computational precision. On the above basis, the workspace of this mechanism was found through graphical method, which was compared with that of finding through Monte Carlo method, and there was the feasibility for analyzing the workspace of the mechanism by graphical method. The characteristic of the mechanism was analyzed by comparing the results of two analysis methods, which provided a theoretical basis for the application of the mechanism.

Analysis of Half-Pipe Heating Channels on Pressure Vessel Shells

1986 ◽  
Vol 108 (4) ◽  
pp. 526-529
Author(s):  
A. E. Blach
Keyword(s):  
Pressure Vessel ◽  
Analytical Method ◽  
External Pressure ◽  
Pressure Vessels ◽  
Numerical Examples ◽  
Asme Code

Half-pipe heating channels are used on the outside of pressure vessels such as agitators, mixers, reactors, etc., to avoid the high external pressure associated with heating jackets. No applicable method of analysis is contained in the ASME Code and proof tests are normally required for registration with governing authorities. An analytical method is presented which permits the evaluation of stresses in shell and half pipe; numerical examples are included.

A Mathematical Model of Consumer Behavior

1965 ◽  
Vol 2 (3) ◽  
pp. 259-265 ◽  
Author(s):  
Benjamin Lipstein
Keyword(s):  
Mathematical Model ◽  
Consumer Behavior ◽  
Markov Process ◽  
Analytical Method ◽  
Stochastic Matrices ◽  
Market Conditions ◽  
Numerical Examples ◽  
Advertising Effort ◽  
Attitude Changes

A mathematical model is presented of consumer behavior in the marketplace under advertising stimulation. The model relates advertising effort to attitude changes and consumer purchases, using a nonstationary Markov process. A new analytical method of handling nonstationary stochastic matrices is developed. The behavior of brand shares under different market conditions is considered along with numerical examples of how the model operates.

scholarly journals Analysis of the Transmission of Project Duration and Cost Impacts Based on the GERT Network Technique

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 337 ◽  
Author(s):  
Zhiyong Li ◽  
Xiangtian Nie ◽  
Bo Wang ◽  
Tianyu Fan
Keyword(s):  
Analytical Method ◽  
Hybrid Structures ◽  
Transmission Model ◽  
Project Cost ◽  
Project Duration ◽  
Numerical Examples ◽  
Cost Increase ◽  
Gert Network ◽  
Engineering Projects

In engineering projects, project duration and a cost increase occur in every phase and will propagate their impacts downstream. Associated with the compensation of project duration, the duration and cost impacts are transferred among phases. In this paper, after illustrating the transmission of project duration and cost impacts, we will use the risk transmission theory and GERT (Graphic Evaluation and Review Technique) network technique to build a transmission model. We have designed equivalent parameters of project duration and cost impacts in the GERT model for serial, parallel, and hybrid structures. The algorithm of the GERT network for project cost and duration transmission is analyzed. The effectiveness of this model and algorithm is proved by numerical examples. This paper provides a new analytical method for cost and duration control of engineering projects.

Error Size of the Helix (screw) Groove by Grinding

2011 ◽  
Vol 496 ◽  
pp. 19-24
Author(s):  
Karel Jandečka
Keyword(s):  
Present Article ◽  
Analytical Method ◽  
Grinding Wheel ◽  
Theoretical Studies ◽  
Spiral Groove ◽  
Grinding Wheels ◽  
Know How ◽  
Foreign Companies ◽  
Grant Agency ◽  
Helical Grooves

This paper presents further results in addressing this issue and builds upon the results obtained within the project GACR No. 101/07/0751 (research was supported by Czech Grant Agency), and the findings and information obtained from grant project GACR No. 101/05/2562. The problems are oriented to the production and sharpening of rotary tools, especially because all the know-how is owned by foreign companies. The main chapter is devoted to "Solution of the dependance of undercutting of the helical grooves on the grinding wheel diameter, its thickness and depth of the cut" at zero thickness of the grinding wheel. This method is an original analytical method for calculating the undercutting and is a part of the theoretical studies of the grinding helix slot. Then follows a passage, which defines the actual width of the spiral groove profiles at various grinding wheels. The present article summarizes only part of a broad range of problems in the area.

Synthesis of spherical four-bar path generator satisfying the prescribed tangents at two cusps

1997 ◽  
Vol 211 (3) ◽  
pp. 211-216 ◽  
Author(s):  
C-F Chang ◽  
D-M Lu ◽  
W-M Hwang
Keyword(s):  
Analytical Method ◽  
Cross Ratio ◽  
Numerical Examples ◽  
Special Case

Design equations for spherical four-bar linkages to trace a coupler curve with two prescribed cusps are derived in this study by using a special case of spherical Burmester curves. For the case in which the tangents at two cusps are also prescribed, an analytical method is proposed with the aid of the foregoing design equations associated with the concept of the spherical cross ratio and spherical Bobillier theorem. The proposed method is straightforward and quite useful for those cases in which the tangents at two cusps are neither on the same plane nor on parallel planes. Numerical examples are also provided for illustrating the entire technique.

Analytical method for locating the secondary instant centres of indeterminate planar linkages

2008 ◽  
Vol 223 (2) ◽  
pp. 491-502 ◽  
Author(s):  
C-M Kung ◽  
L-C T Wang
Keyword(s):  
Fourth Order ◽  
Analytical Method ◽  
Polynomial Equation ◽  
Automated Analysis ◽  
Numerical Examples ◽  
Order Polynomial ◽  
Velocity Information ◽  
Planar Linkages ◽  
Fourth Order Polynomial ◽  
Order Polynomial Equation

This article presents a new analytical method for locating secondary instant centres (SICs) of indeterminate planar linkages. In this method the SICs are first discriminated into three classes according to their level of geometric dependencies. The concepts of instant-centre digraph, instant-centre walk, and instant-centre circuit are then introduced to establish the recursive relationships between the classified instant centres. It is shown that the location of the instant centres within an instant-centre circuit can be evaluated recursively by first solving a second-order polynomial equation. In addition, by combining the recurrence conditions of several related instant-centre walks, the locations of SICs that are not within an instant-centre circuit can be solved analytically from a fourth-order polynomial equation. The proposed method does not rely on any velocity information or graphical techniques; therefore, it can be applied systematically to all types of indeterminate linkages. It can also be implemented on digital computers for automated analysis. Three numerical examples are presented to demonstrate the usage of this method.

The Pinion Cutter for Profiled Holes – Graphical Method in CATIA

2014 ◽  
Vol 657 ◽  
pp. 720-724
Author(s):  
Silviu Berbinschi ◽  
Virgil Teodor ◽  
Gabriel Radu Frumuşanu ◽  
Nicolae Oancea
Keyword(s):  
Analytical Method ◽  
Graphical Method ◽  
The Other ◽  
Rolling Motion ◽  
Transversal Section ◽  
Contact Points ◽  
Other Hand ◽  
The Family

In this paper, we present a graphical method, developed in CATIA environment, based on the method of substituting circles family and dedicated to profile pinion cutters for generating interior surfaces. Hereby, the family of substituting circles associated to the worked piece (the profile to be generated) is determined at the same time to the curve transposed, in the rolling motion, to the tool centrod. After finding the position of the contact points between the generated profile and the family circles, we can determine, in the transposed family, the locus of the points from the reciprocal enwrapping profile the pinion cutter profile. The paper also includes a method application for generating a hole with square transversal section, and a comparison between the profiling results when using the graphical method, versus an analytical method. The results prove the coincidence between the two profiles determined as above, on one hand, and both rapidity and precision of the graphical method, on the other hand.

scholarly journals MÉTODOS PARA TRANSFORMAR COEFICIENTES ZERNIKE AL VARIAR LA PUPILA DE UN SISTEMA ÓPTICO ABERRADO METHODS TO TRANSFORM ZERNIKE COEFFICIENTS WHEN THE PUPIL OF AN ABERRATED OPTICAL SYSTEM VARIES

Anales AFA ◽  
2010 ◽  
pp. 60-68
Author(s):  
S. A. Comastri ◽  
L. I. Perez ◽  
G. D. Pérez ◽  
G. Martin ◽  
A. Bianchetti
Keyword(s):  
Optical System ◽  
Analytical Method ◽  
Analytical Methods ◽  
Graphical Method ◽  
Wavefront Aberration ◽  
Zernike Polynomials ◽  
Field Point ◽  
The One ◽  
Explicit Expressions

The wavefront aberration for a given field point is often expanded in Zernike polynomials and varies when pupil is modified. In many cases the coefficients pattern corresponding to a pupil is known and one needs to calculate the one for a rotated, contracted or decentred pupil. In this paper we review the most important concepts which we present in recent articles concerning the development of an analytical and a graphical method to carry out this transformation. Using our analytical method we find explicit expressions for the elements of a matrix which transforms Zernike coefficients of up to 7th order computed for a circular original pupil into those corresponding to a contracted, decentred and rotated new pupil. Our graphical method is useful to identify qualitatively new coefficients in terms of original ones or vice versa for any order of Zernike´s expansion. As an example, we show an application of both methods. Finally, we synthesize some works of other authors which develop numerical or analytical methods for the coefficients conversion and we compare their more relevant results to ours.

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