Research on Calibration Method for Small Diameter Directional Gyro Inclinometer

2013 ◽  
Vol 846-847 ◽  
pp. 504-512
Author(s):  
Gui Hua Kang
Keyword(s):  
Mathematical Models ◽  
Continuous Measurement ◽  
Small Diameter ◽  
Calibration Method ◽  
Angular Speed ◽  
Experiment Data ◽  
Scale Factors ◽  
Input And Output ◽  
Measurement Mode ◽  
The Relationship

This paper introduces a new method for small diameter directional gyro inclinometer calibration with continuous measurement mode. The mathematical models referring to the relationship between the input and output of the accelerometers and the gyro are established. Experiment has been conducted for different angular speed and different positions on a three-axis turntable. We totally obtained 36 groups of experiment data of different angular speed regarding to different positions. Through the application of the established mathematical models and by means of computer aided data procession, the scale factors, installation error and static drift for the gyro inclinometer are calculated. Thus, the inclinometer calibration is implemented. It has been verified that this new calibration method enables us to quickly and effectively calibrate gyro inclinometer. The established mathematical model has been proved to be exact and effective. The whole operation is simple, quick and reliable.

Temperature Influence on Performance of Oxidation Ponds

1991 ◽  
Vol 24 (5) ◽  
pp. 85-96 ◽  
Author(s):  
Qingliang Zhao ◽  
Zijie Zhang
Keyword(s):  
Mathematical Model ◽  
Temperature Influence ◽  
Field Scale ◽  
Experiment Data ◽  
Computer Technique ◽  
Oxidation Pond ◽  
Optimum Model ◽  
Oxidation Ponds ◽  
The Mathematical Model ◽  
The Relationship

By means of simulated tests of a laboratory–scale oxidation pond model, the relationship between BOD5 and temperature fluctuation was researched. Mathematical modelling for the pond's performance and K1determination were systematically described. The calculation of T–K1–CeCe/Ci) was complex but the problem was solved by utilizing computer technique in the paper, and the mathematical model which could best simulate experiment data was developed. On the basis of experiment results,the concept of plug–ratio–coefficient is also presented. Finally the optimum model recommended here was verified with the field–scale pond data.

ON THE HYBRID-DRIVEN LINKAGE MECHANISM WITH ONE INPUT CYCLE CORRESPONDING TO TWO OUTPUT CYCLES

2015 ◽  
Vol 39 (3) ◽  
pp. 637-646
Author(s):  
Ren-Chung Soong
Keyword(s):  
Kinematic Analysis ◽  
Angular Speed ◽  
Motion Trajectory ◽  
Dimensional Synthesis ◽  
Reciprocating Motion ◽  
Linkage Mechanism ◽  
Output Link ◽  
Input And Output ◽  
Single Input ◽  
Selection Of

A hybrid-driven five-bar linkage mechanism with one input cycle corresponding to two output cycles is presented. The proposed linkage mechanism is driven by a constant-speed motor and a linear motor, respectively. The output link can generate two same required output cycles during a single input cycle, while the rotational input link rotates with a constant angular speed, and the linear input link follows a reciprocating motion along a specified linear guide fixed on the rotational input link. The configuration, displacement relationship between the input and output links, and conditions of mobility of this proposed mechanism were studied, and a kinematic analysis was performed. The selection of the instantaneous motion trajectory of the linear input link and an optimal dimensional synthesis are also described. An example is provided to verify the feasibility and effectiveness of this methodology.

Mathematical Alternatives to Standard Probability that Provide Selectable Degrees of Precision

2017 ◽  
Author(s):  
Terrence Fine
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Models ◽  
Theory Of Measurement ◽  
Belief Functions ◽  
Standard Practice ◽  
Mathematical Probability ◽  
Comparative Probability ◽  
The Relationship ◽  
Standard Probability

This chapter challenges the nearly universal reliance upon standard mathematical probability for mathematical modeling of chance and uncertain phenomena, and offers four alternatives. In standard practice, precise assignments are made inappropriately, even to the occurrences of events that may be unobservable in principle. Four familiar examples of chance or uncertain phenomena are discussed, about which this is true. The theory of measurement provides an understanding of the relationship between the accuracy of information and the precision with which the phenomenon under examination should be modeled mathematically. The model of modal or classificatory probability offers the least precision. Comparative probability, plausibility/belief functions and upper/lower probabilities are carefully considered. The selectable precision of these alternative mathematical models of chance and uncertainty makes for an improved range of levels of accuracy in modeling the empirical domain phenomena of chance, uncertainty, and indeterminacy. Knowledge of such models encourages further thought in this direction.

scholarly journals Analysis of Stress and Strain to Determine the Pressure Changes in Tight-Fitting Garment

2020 ◽  
Vol 20 (1) ◽  
pp. 49-55
Author(s):  
Nareerut Jariyapunya ◽  
Blažena Musilová
Keyword(s):  
Mechanical Properties ◽  
Mathematical Models ◽  
Initial Phase ◽  
Circumferential Stress ◽  
The Body ◽  
Stress And Strain ◽  
Laplace’S Law ◽  
Pressure Changes ◽  
The Relationship ◽  
Laplace's Law

AbstractBased on the mechanical properties of stretch fabrics and Laplace’s law, the mathematical models have been developed enabling one to determine the values of the relationship between the fabric strain and the circumferential stress depending on pressure and diameter of the body. The results obtained refer to the values of the parameters assessed for the initial phase of their exploitation, which allow us to preliminarily predict the values of these parameters.

scholarly journals PATTERNS OF CHANGES IN FLUORESCENCE OF NADH AND FAD COENZYMES AND THEIR RELATIONSHIP IN SKELETAL MUSCLE IN EARLY POST-MORTEM PERIOD (EXPERIMENTAL STUDY)

2020 ◽  
Author(s):  
Anastasia S. Babkina
Keyword(s):  
Skeletal Muscle ◽  
Mathematical Models ◽  
Fluorescence Intensity ◽  
Statistical Significance ◽  
Linear Regression Analysis ◽  
Post Mortem ◽  
Redox Ratio ◽  
Measuring Device ◽  
Nadh Fluorescence ◽  
The Relationship

Abstract. The paper presents changes and mathematical models of autofluorescence of reduced nicotinamide adenine dinucleotide (NADH) and flavin adenine dinucleotide (FAD) and their redox ratio (RR) in the rat skeletal muscle during the first 24 hours after death. Aim. To establish a pattern of change in the fluorescence intensity of NADH and FAD coenzymes, as well as their relationship in the skeletal muscle during the first 24 hours after death using mathematical modeling. Material and methods. The experiment was performed on Sprague Dawley rats. The fluorescence intensity of FAD and NADH coenzymes in skeletal muscle was measured in situ in living rats under general anesthesia, 5 minutes after euthanasia, and at intervals of 1.5-3 h during the 24-hour postmortem period. To estimate the fluorescence intensity of NADH and FAD coenzymes and to calculate the RR, the Lasma MC-3 fluorescence measuring device with special software was used. The obtained data were analyzed by non-linear regression analysis. The summary, accuracy estimation and significance of the regression equation coefficients were assessed using SigmaPlot 10.0 software. The significance of the regression model was tested using the Fisher F-criterion. Results. During the first 3 hours of the postmortem period, an increase in the mean values of RR and NADH fluorescence was detected, starting from 4.5 and till 24 hours post-mortem their gradual decrease was observed. The relationship between NADH, RR and time after death is characterized by the Weibull equation. The statistical significance of NADH and RR models, based on the obtained equations was considered high. Conclusion. The analysis of the obtained data allowed to create mathematical models describing the relationship between RR and NADH fluorescence intensity and time after death, which confirms non-randomness and regularity of the discovered patterns.time of death; NADH; FAD; auto-fluorescence; redox ratio; early post-mortem changes

Rethinking democratic representation: eight theoretical issues and a postscript1

2019 ◽  
pp. 21-47 ◽  
Author(s):  
Dario Castiglione ◽  
Mark E. Warren
Keyword(s):  
21St Century ◽  
Political Representation ◽  
Political Practice ◽  
Democratic Representation ◽  
Political Processes ◽  
Input And Output ◽  
The Relationship ◽  
Theoretical Issues ◽  
The Way

This chapter offers here a sketch of eight theoretical issues that are fundamental to rethinking the problems and potentials of political representation under emerging conditions. The issues include: (1) the relational character of representation; (2) the role that trusteeship plays in forms of democratic representation; (3) an assessment of representation in terms of both input and output; (4) representation considered as a political practice; (5) the way in which representation is constituted by and within political processes; (6) the objects of representation: who and what are represented; (7) the question of who is a democratic representative; and (8) the relationship between authorization and accountability in informal representation. In each of these dimensions the theory of representation in democracies needs refurbishing, a task that requires returning to the concept of representation in a more systematic way, also taking on board theoretical intuitions from deliberative, participatory and radical populist conceptions of democracy. The postscript takes stock of some of these developments and suggests that rethinking political representation is part of the pressing task to reconsider democracy in the 21st century.

Data Modeling

2014 ◽  
Vol 25 (4) ◽  
pp. 17-37 ◽  
Author(s):  
Hock Chuan Chan ◽  
Chuan-Hoo Tan ◽  
Hock-Hai Teo
Keyword(s):  
Data Modeling ◽  
Clear Distinction ◽  
User Performance ◽  
Experiment Data ◽  
The World ◽  
Database Models ◽  
User Data ◽  
Conceptual Data ◽  
The Relationship

Research on ontology and conceptual data modeling builds on the premise that the world could be represented in terms of concepts (also known as “things”), their properties and their (things') relationships. A persistent effort in the representation is how to distinguish things from their properties, as well as how to denote relationships that relate two things together. Following the tradition of deriving guidelines from ontology studies, this paper proposes a need to make a clear distinction between relationships among things and relationships among things' properties. The central thrust of this paper is in proposing an ontologically guided principle: For the same relationship, working with the relationship among things will lead to better user performance than working with the relationship among things' properties. This principle, called Relationship without Pointers principle, is robustly validated by re-analyzing a set of experiment data on user data modeling performance with three database models. This principle may be applicable to other contexts that study relationships.

THE CALIBRATION OF AN ARRAY OF ACCELEROMETERS

2011 ◽  
Vol 35 (2) ◽  
pp. 251-267 ◽  
Author(s):  
Dany Dubé ◽  
Philippe Cardou
Keyword(s):  
Angular Velocity ◽  
Rigid Body ◽  
Least Squares ◽  
Calibration Method ◽  
Calibration Procedure ◽  
Rigid Bodies ◽  
New Method ◽  
Scale Factors ◽  
Array Calibration ◽  
The One

An accelerometer-array calibration method is proposed in this paper by which we estimate not only the accelerometer offsets and scale factors, but also their sensitive directions and positions on a rigid body. These latter parameters are computed from the classical equations that describe the kinematics of rigid bodies, and by measuring the accelerometer-array displacements using a magnetic sensor. Unlike calibration schemes that were reported before, the one proposed here guarantees that the estimated accelerometer-array parameters are globally optimum in the least-squares sense. The calibration procedure is tested on OCTA, a rigid body equipped with six biaxial accelerometers. It is demonstrated that the new method significantly reduces the errors when computing the angular velocity of a rigid body from the accelerometer measurements.

Design and Analysis of Constantan Thin Films Sensor for Monitoring Cutting Force

2014 ◽  
Vol 635-637 ◽  
pp. 882-885
Author(s):  
Yun Ping Cheng ◽  
Wen Ge Wu ◽  
Xiao Jun Du ◽  
Gui Ling Qiao
Keyword(s):  
Thin Film ◽  
Cutting Force ◽  
Output Voltage ◽  
Manufacturing Processes ◽  
Film Sensor ◽  
Thin Film Sensor ◽  
Finite Element Software ◽  
Input And Output ◽  
Simulation Results ◽  
The Relationship

Cutting force is one of important parameters for manufacturing processes. The traditional dynamometer is limited by size, machining environments, and so on. This paper introduces a new constantan thin film sensor which embedded on the holder of external turning tool to measure cutting force. The relationship between force and output voltage are deduced from theory. By using the finite element software, the analyses on induction and linearity capability of thin film sensor are simulated, and the influences of the location and thickness of film on the output voltage are analyzed. The results show that the linearity of input and output is good and the deviation between the calculated value and simulation results is identical. As the result, the constantan thin film sensor unit can be used to measure the cutting forces.

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