Kinetic Analysis of Planar Frictionless Mechanisms Made Simple

2003 ◽  
Author(s):  
Kazem Abhary
Keyword(s):  
Kinetic Analysis ◽  
Analytical Method ◽  
Simultaneous Equations ◽  
Graphical Methods ◽  
Planar Mechanisms ◽  
Conservation Of Energy ◽  
Teaching Technique ◽  
Kinetic Force ◽  
Force Equilibrium

A purely analytical method has been developed for the kinetic (force or kinetostatic) analysis of frictionless planar mechanisms. It employs polar notation of vectors, the principle of conservation of energy and the force equilibrium of the links. Unlike many other methods which lead to a system of several simultaneous equations, it leads to only one algebraic or one vectorial equation at a time and, interestingly, it is less time consuming that the conventional graphical methods. The method is general, comprehensive and systematic such that it could also serve as a suitable teaching technique for manual approach to the problem. It easily lends itself to automation too.

A Simple Analytical Method for Teaching Force Analysis of Planar Frictionless Mechanisms

2005 ◽  
Author(s):  
Kazem Abhary
Keyword(s):  
Algebraic Equation ◽  
Analytical Method ◽  
Kinematic Analysis ◽  
Simultaneous Equations ◽  
Degree Of Freedom ◽  
Force Analysis ◽  
Equilibrium Equations ◽  
Planar Mechanisms ◽  
Joint Force ◽  
Teaching Force

A purely analytical method for teaching force analysis of one degree-of-freedom planar frictionless mechanisms has been developed herein. The method uses the vectorial illustration of mechanisms, which is widely used for kinematic analysis of mechanisms too. In this method, a joint-force is determined either via its decomposition into the direction of its adjacent links or from the equilibrium equations of one of these links. Unlike the conventional analytical method which leads to a system of simultaneous equations, this method leads to only one simple algebraic-equation or one simple vectorial-equation at a time. Force analysis of planar mechanisms has always been tedious and time consuming but this method has proved to be simple, straightforward and quick. It is therefore a most suitable tool for teaching mechanisms as it downgrades the project-type problems to the level of classroom tutorials.

A Generalized Approach for the Kinematic Analysis of Planar Mechanisms

1995 ◽  
Vol 209 (4) ◽  
pp. 237-244
Author(s):  
D J A Simpson ◽  
J E L Simmons ◽  
G Moldovean
Keyword(s):  
Computer Program ◽  
Analytical Method ◽  
Building Block ◽  
Kinematic Analysis ◽  
Displacement Velocity ◽  
Planar Mechanisms ◽  
New Approach ◽  
Wide Range ◽  
Complex Mechanisms

This paper describes a new approach to the kinematic analysis of planar mechanisms. The basis of the analytical method is a generic four-bar sub-mechanism which is used as the single building block from which other composite mechanisms may be created. A computer program has been written embodying this method and has been demonstrated to operate successfully providing animated displays of displacement, velocity and acceleration diagrams for a wide range of complex mechanisms.

Kinetic Analysis of Spatial RSSR Mechanism by Analytical Method

2011 ◽  
Vol 215 ◽  
pp. 320-326 ◽  
Author(s):  
Hai Gang Sun ◽  
Yong Zhou
Keyword(s):  
Kinetic Analysis ◽  
Analytical Method ◽  
Angular Displacement ◽  
Angular Acceleration ◽  
Analysis Model ◽  
Analysis And Design ◽  
Spatial Mechanism ◽  
Motion Parameters ◽  
Set Up ◽  
Cartesian Coordinate

Aiming at the complexity of kinetic analysis of spatial mechanism by analytical method, an analysis model is established in 3D Cartesian coordinate system. By mathematical modeling and algorithms, relationship formula of motion parameters is set up and the solutions of angular displacement, angular velocity and angular acceleration are obtained. Through computer-aided tools, the corresponding curves are plotted, even the correctness of analytical method is validated. In virtual prototype environment, the same analytical results are presented, giving above conclusions a convincing support. This dissertation actualizes the effective kinetic analysis of spatial RSSR mechanism and has valuable reference to the parametric analysis and design.

Kinetic Determination of Total Serum Protein with a Centrifugal Analyzer

1974 ◽  
Vol 20 (3) ◽  
pp. 392-394 ◽  
Author(s):  
Thomas R Koch ◽  
George F Johnson ◽  
Max E Chilcote
Keyword(s):  
Kinetic Analysis ◽  
Serum Protein ◽  
Analytical Method ◽  
Clinical Laboratory ◽  
Total Serum Protein ◽  
Total Serum ◽  
Kinetic Determination ◽  
First Order

Abstract A kinetic biuret assay of total serum protein on the "CentrifiChem" centrifugal analyzer is shown to be rapid, accurate, and reasonably precise, and accommodates the most desirable analytical method and standardization currently available. Kinetic analysis of compounds undergoing first-order reactions is a useful type of analysis that is of significant advantage to the clinical laboratory.

Renewing Assets with Uncertain Revenues and Operating Costs

2010 ◽  
Vol 46 (3) ◽  
pp. 785-813 ◽  
Author(s):  
Roger Adkins ◽  
Dean Paxson
Keyword(s):  
Significant Influence ◽  
Analytical Method ◽  
Real Option ◽  
Operating Cost ◽  
Simultaneous Equations ◽  
Relative Influence ◽  
Operating Costs ◽  
Implicit Representation ◽  
Optimal Replacement ◽  
Real Assets

AbstractWe study optimal replacement and abandonment decisions for real assets, when both revenues and costs are uncertain and deteriorate with age. We develop an implicit representation of the renewal boundary as the solution to a set of simultaneous equations. This quasi-analytical method has the merit of computational ease and transparency. We show that the correlation between revenues and operating costs has a significant influence on the renewal boundary, and that the increase in revenue immediately following a renewal has a greater relative influence on the boundary than either operating cost or renewal cost. The quasi-analytical method is sufficiently flexible to deal with other real option models involving 2 variables.

scholarly journals ATP-binding domain of NTPase/helicase as a target for hepatitis C antiviral therapy.

2000 ◽  
Vol 47 (1) ◽  
pp. 173-180 ◽  
Author(s):  
P Borowski ◽  
O Mueller ◽  
A Niebuhr ◽  
M Kalitzky ◽  
L H Hwang ◽  
...  
Keyword(s):  
Hepatitis C Virus ◽  
Hepatitis C ◽  
Kinetic Analysis ◽  
Antiviral Therapy ◽  
Binding Domain ◽  
Atp Binding ◽  
Graphical Methods ◽  
Inhibitory Potential

To enhance the inhibitory potential of 1-beta-D-ribofuranosyl-1,2,4-triazole-3-carboxamide (ribavirin) vs hepatitis C virus (HCV) NTPase/helicase, ribavirin-5'-triphosphate (ribavirin-TP) was synthesized and investigated. Ribavirin-TP was prepared with the use of modified Yoshikawa-Ludwig-Mishra-Broom procedure (cf. Mishra & Broom, 1991, J. Chem. Soc., Chem. Commun, 1276-1277) involving phosphorylation of unprotected nucleoside. Kinetic analysis revealed enhanced inhibitory potential of ribavirin-TP (IC50=40 microM) as compared to ribavirin (IC50 > 500 microM). Analysis of the inhibition type by means of graphical methods showed a competitive type of inhibition with respect to ATP. In view of the relatively low specificity towards nucleoside-5'-triphosphates (NTP) of the viral NTPase/helicases, it could not be ruled out that the investigated enzyme hydrolyzed the ribavirin-TP to less potent products. Investigations on non- hydrolysable analogs of ribavirin-TP or ribavirin-5'-diphosphate (ribavirin-DP) are currently under way.

scholarly journals An Analysis of Nanoparticle Settling Times in Liquids

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
D. D. Liyanage ◽  
Rajika J. K. A. Thamali ◽  
A. A. K. Kumbalatara ◽  
J. A. Weliwita ◽  
S. Witharana
Keyword(s):  
Experimental Data ◽  
Analytical Method ◽  
Fractal Dimensions ◽  
New Method ◽  
Graphical Methods ◽  
Nanosized Particle ◽  
Particle Suspensions ◽  
Remarkable Feature ◽  
Order Of Magnitude ◽  
Settling Rates

Aggregation and settling are crucial phenomena involving particle suspensions. For suspensions with larger than millimeter-size particles, there are fairly accurate tools to predict settling rates. However for smaller particles, in particular micro-to-nanosizes, there is a gap in knowledge. This paper develops an analytical method to predict the settling rates of micro-to-nanosized particle suspensions. The method is a combination of classical equations and graphical methods. Validated using the experimental data in literature, it was found that the new method shows an order of magnitude accuracy. A remarkable feature of this method is its ability to accommodate aggregates of nonspherical shapes and of different fractal dimensions.

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