On the Dead-Center Positions of Stephenson Six-Bar Linkage

2011 ◽  
Vol 52-54 ◽  
pp. 915-919
Author(s):  
Yan Huo Zou ◽  
Xiao Ning Guo ◽  
Jin Kui Chu
Keyword(s):  
Analytical Method ◽  
Input Parameter ◽  
Polynomial Equation ◽  
New Method ◽  
Necessary Condition ◽  
Input Output ◽  
Simple Analytical Method ◽  
Condition Equation ◽  
The Dead

A new method for identifying the dead-center positions of the Stephenson six-bar linkage is presented by this article. This method uses the input-output polynomial equation of the linkage and the corresponding Sylvester's resultant to formulate the necessary condition of the dead-center configurations as a polynomial equation in terms of the input parameter; then through a simple analytical method to obtain all the truly dead-center positions among the double roots to the condition equation. An example is given to demonstrate the validity of this method.

On the dead-centre position analysis of Stephenson six-link linkages

2006 ◽  
Vol 220 (9) ◽  
pp. 1393-1404 ◽  
Author(s):  
C-C Tsai ◽  
L T Wang
Keyword(s):  
Input Parameter ◽  
Polynomial Equation ◽  
Necessary Condition ◽  
Input Output ◽  
Single Degree Of Freedom ◽  
Real Solutions ◽  
Geometric Conditions ◽  
Condition Equation ◽  
The Dead ◽  
Dead Centre

A new method for analysing the dead-centre positions of Stephenson type six-bar linkages is presented in this article. This method uses the input-output polynomial equation of the linkage and the corresponding Sturm functions to formulate the necessary condition of the dead-centre configurations as a polynomial equation in terms of the input parameter only. A simple analytical method for identifying the true dead-centre positions among the real solutions to the condition equation is also developed. The proposed method is conceptually straightforward and does not rely on any structure-related geometric conditions; therefore, it can be systematically applied to all types of Stephenson linkages and other multiple-loop, single degree-of-freedom linkages regardless of the selections of the input-output pair and the type of the joints.

Branch identification and motion domain analysis of Stephenson type six-bar linkages

2007 ◽  
Vol 221 (5) ◽  
pp. 589-604 ◽  
Author(s):  
C-C Tsai ◽  
L-C T Wang
Keyword(s):  
Lower Bounds ◽  
Polynomial Equation ◽  
Domain Analysis ◽  
Upper And Lower Bounds ◽  
Computer Implementation ◽  
Input Output ◽  
Complicated Case ◽  
Sturm Theorem ◽  
The Dead ◽  
Selection Of

A general approach for branch identification and motion domain analysis of Stephenson type six-bar linkages is presented. By applying the Sturm theorem to the input-output polynomial equation, the dead-centre positions of the linkage are first evaluated and classified into two groups in order to discriminate the upper and lower bounds of the motion domains. The circuits of the linkage are then identified by matching the dead centres to the branches, which are attributed in accordance with the case where the input is assigned to a joint within the four-bar chain. Finally, the branches and motion domains of the more complicated case where the input is given through one of the uncoupled joints within the five-bar chain, are identified by mapping the circuits onto the domain of the specified input joint. This approach does not rely on the coupler curve of the constituent four-link mechanism. This is also suitable for computer implementation and can be systematically applied to all types of Stephenson linkages, regardless of the types of joints and the selection of input-output pair.

scholarly journals A new method for correcting temperature log profiles in low-enthalpy plays

2020 ◽  
Vol 8 (1) ◽  
Author(s):  
Sandra Schumacher ◽  
Inga Moeck
Keyword(s):  
Input Parameter ◽  
New Method ◽  
Geothermal Resources ◽  
The North ◽  
Deep Wells ◽  
Thermal Disturbance ◽  
Drilling Operations ◽  
Crucial Information ◽  
Well Data ◽  
Drilling Time

Abstract Temperature logs recorded shortly after drilling operations can be the only temperature information from deep wells. However, these measurements are still influenced by the thermal disturbance caused by drilling and therefore do not represent true rock temperatures. The magnitude of the thermal disturbance is dependent on many factors such as drilling time, logging procedure or mud temperature. However, often old well reports lack this crucial information so that conventional corrections on temperature logs cannot be performed. This impedes the re-evaluation of well data for new exploration purposes, e.g. for geothermal resources. This study presents a new method to correct log temperatures in low-enthalpy play types which only requires a knowledge of the final depth of the well as an input parameter. The method was developed and verified using existing well data from an intracratonic sedimentary basin, the eastern part of the North German Basin. It can be transferred to other basins with little or no adjustment.

Closed-Form Displacement Relations of a Five-Link R-R-C-C-R Spatial Mechanism

1971 ◽  
Vol 93 (1) ◽  
pp. 221-226 ◽  
Author(s):  
A. H. Soni ◽  
P. R. Pamidi
Keyword(s):  
Closed Form ◽  
Polynomial Equation ◽  
Input Output ◽  
Degree Polynomial ◽  
Spatial Mechanism ◽  
Dual Number ◽  
Numerical Example

Using (3 × 3) matrices with dual-number elements, closed form displacement relationships are derived for a spatial five-link R-R-C-C-R mechanism. The input-output closed form displacement relationship is an eighth degree polynomial equation. A numerical example is presented.

scholarly journals A Sort of New Improved Algorithm For Total Least Square

2015 ◽  
Vol 9 (1) ◽  
pp. 238-247
Author(s):  
Deng Yonghe
Keyword(s):  
Least Square ◽  
New Method ◽  
Unknown Parameters ◽  
Error Equation ◽  
Virtual Observation ◽  
Condition Equation ◽  
Total Least Square ◽  
Improved Algorithm

Aim to blemish of total least square algorithm based on error equation of virtual observation, this paper put forward and deduced a sort of new improved algorithm which selects essential unknown parameters among designing matrix, and then, doesn’t consider condition equation of unknown parameters among designing matrix. So, this paper perfected and enriched algorithm, and sometimes, new method of this paper is better. Finally, the results of examples showed that new mothod is viable and valid.

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