A New Method of Quasi-Static Bifurcation Analysis and the Related Variational Theorem

1985 ◽  
Vol 9 (1) ◽  
pp. 26-31
Author(s):  
Xing Chen ◽  
Niels C. Lind
Keyword(s):  
Bifurcation Analysis ◽  
Static Problem ◽  
Approximate Solutions ◽  
Euler Method ◽  
Rate Of Change ◽  
New Method ◽  
New Approach ◽  
Variational Theorem ◽  
Creep Buckling ◽  
Thin Walled

The quasi-static problem is formulated in terms of rates. The traditional Euler method is reviewed. A new approach is developed for the quasi-static bifurcation analysis. Bifurcation is said to occur when there exists at least one additional, distinctive rate of change of a configuration in equilibrium. The related variational theorem is derived in the same manner that the Sanders variational theorem for creep was developed. An example is given for the creep buckling of a thin-walled cylindrical shell loaded in axial compression. It is concluded that the new method yields good approximate solutions but is apparently simpler than the Euler method.

Heat flux determination from measured heating rates using thermographic phosphors

2004 ◽  
Vol 127 (6) ◽  
pp. 560-570 ◽  
Author(s):  
D. G. Walker
Keyword(s):  
Heat Flux ◽  
Heating Rate ◽  
Volterra Equation ◽  
Rate Of Change ◽  
New Method ◽  
Volterra Equations ◽  
Measured Temperature ◽  
New Approach ◽  
Thermographic Phosphors ◽  
Flux Determination

A new method for measuring the heating rate (defined as the time rate of change of temperature) and estimating heat flux from the heating rate is proposed. The example problem involves analytic heat conduction in a one-dimensional slab, where the measurement location of temperature or heating rate coincides with the location of the estimated heat flux. The new method involves the solution to a Volterra equation of the second kind, which is inherently more stable than Volterra equations of the first kind. The solution for heat flux from a measured temperature is generally a first kind Volterra equation. Estimates from the new approach are compared to estimates from measured temperatures. The heating rate measurements are accomplished by leveraging the temperature dependent decay rate of thermographic phosphors (TGP). Results indicate that the new data-reduction method is far more stable than the usual minimization of temperature residuals, which results in errors that are 1.5–12 times larger than those of the new approach. Furthermore, noise in TGP measurements was found to give an uncertainty of 4% in the heating rate measurement, which is comparable to the noise introduced in the test case data. Results of the simulations and the level of noise in TGP measurements suggest that this novel approach to heat flux determination is viable.

New Approach to Folding a Thin-Walled Yoshimura Patterned Cylinder

2020 ◽  
pp. 1-15
Author(s):  
Jong-Eun Suh ◽  
Tae-Hyun Kim ◽  
Jae-Hung Han
Keyword(s):  
New Approach ◽  
Thin Walled

A New Approach for the Analysis of Mixture Toxicity Data

1992 ◽  
Vol 26 (9-11) ◽  
pp. 2345-2348 ◽  
Author(s):  
C. N. Haas
Keyword(s):  
Quantitative Analysis ◽  
Mixture Toxicity ◽  
New Method ◽  
Metal Exposure ◽  
Positive Interactions ◽  
Toxicity Data ◽  
Data Set ◽  
New Approach ◽  
Negative Interactions

A new method for the quantitative analysis of multiple toxicity data is described and illustrated using a data set on metal exposure to copepods. Positive interactions are observed for Ni-Pb and Pb-Cr, with weak negative interactions observed for Ni-Cr.

scholarly journals New Method for Generating New Families of Distributions

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 726
Author(s):  
Lamya A. Baharith ◽  
Wedad H. Aljuhani
Keyword(s):  
Exponential Distribution ◽  
Real Data ◽  
Rate Function ◽  
New Method ◽  
Likelihood Method ◽  
Alpha Power ◽  
Unknown Parameters ◽  
Failure Rate Function ◽  
New Approach ◽  
Numerical Studies

This article presents a new method for generating distributions. This method combines two techniques—the transformed—transformer and alpha power transformation approaches—allowing for tremendous flexibility in the resulting distributions. The new approach is applied to introduce the alpha power Weibull—exponential distribution. The density of this distribution can take asymmetric and near-symmetric shapes. Various asymmetric shapes, such as decreasing, increasing, L-shaped, near-symmetrical, and right-skewed shapes, are observed for the related failure rate function, making it more tractable for many modeling applications. Some significant mathematical features of the suggested distribution are determined. Estimates of the unknown parameters of the proposed distribution are obtained using the maximum likelihood method. Furthermore, some numerical studies were carried out, in order to evaluate the estimation performance. Three practical datasets are considered to analyze the usefulness and flexibility of the introduced distribution. The proposed alpha power Weibull–exponential distribution can outperform other well-known distributions, showing its great adaptability in the context of real data analysis.

Comparison of New Telescopic Video Microlaryngoscopic and Standard Microlaryngoscopic Techniques

1992 ◽  
Vol 101 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Eiji Yanagisawa ◽  
Ken Yanagisawa ◽  
Jay B. Horowitz ◽  
Lawrence J. Mambrino
Keyword(s):  
Video Camera ◽  
New Method ◽  
Depth Of Field ◽  
Microscopic Technique ◽  
New Approach ◽  
Advantages And Disadvantages ◽  
Laryngeal Surgery ◽  
Valuable Method ◽  
Microlaryngeal Surgery ◽  
Television Image

A new approach to microlaryngeal surgery using a specially designed video microlaryngoscope with a rigid endoscopic telescope and an attached video camera was introduced by Kantor et al in 1990. The ability to video document and perform surgery of the larynx by viewing a high-resolution television image was demonstrated. This method was recommended over the standard microscopic technique for increased visibility with greater depth of field, unimpeded instrument access, instant documentation, and superior teaching value. The authors tried this new method and the standard microscopic technique at the same sitting on a series of patients. This paper will compare these two different techniques and discuss their advantages and disadvantages. Although the new method has many advantages, the standard microscopic technique remains as a valuable method in laryngeal surgery.

Inferring age from otolith measurements: a review and a new approach

2004 ◽  
Vol 61 (7) ◽  
pp. 1269-1284 ◽  
Author(s):  
RIC Chris Francis ◽  
Steven E Campana
Keyword(s):  
Simulation Experiment ◽  
Cost Benefit Analysis ◽  
Cost Benefit ◽  
New Method ◽  
Population Parameters ◽  
Benefit Analysis ◽  
Mixture Analysis ◽  
New Approach ◽  
Individual Fish ◽  
The Cost

In 1985, Boehlert (Fish. Bull. 83: 103–117) suggested that fish age could be estimated from otolith measurements. Since that time, a number of inferential techniques have been proposed and tested in a range of species. A review of these techniques shows that all are subject to at least one of four types of bias. In addition, they all focus on assigning ages to individual fish, whereas the estimation of population parameters (particularly proportions at age) is usually the goal. We propose a new flexible method of inference based on mixture analysis, which avoids these biases and makes better use of the data. We argue that the most appropriate technique for evaluating the performance of these methods is a cost–benefit analysis that compares the cost of the estimated ages with that of the traditional annulus count method. A simulation experiment is used to illustrate both the new method and the cost–benefit analysis.

Heteroepitaxy and Characterization of Low-Dislocation-Density GaN on Periodically Grooved Substrates

2000 ◽  
Vol 639 ◽  
Author(s):  
T. Detchprohm ◽  
M. Yano ◽  
R. Nakamura ◽  
S. Sano ◽  
S. Mochiduki ◽  
...  
Keyword(s):  
Dislocation Density ◽  
New Method ◽  
Growth Technique ◽  
New Approach ◽  
Density Area ◽  
Low Dislocation Density ◽  
Dislocation Densities ◽  
Movpe Growth

ABSTRACTWe have developed a new method to prepare low-dislocation-density GaN by using periodically grooved substrates in a conventional MOVPE growth technique. This new approach was demonstrated for GaN grown on periodically grooved α-Al2O3(0001), 6H-SiC(0001)Si and Si(111) substrates. Dislocation densities were 2×107 cm−2 in low-dislocation-density area.

scholarly journals A New Approach to Gauging Inflation Expectations

2009 ◽  
pp. 1-4
Author(s):  
Joseph G. Haubrich
Keyword(s):  
Interest Rates ◽  
Risk Premium ◽  
New Method ◽  
Inflation Expectations ◽  
Real Interest Rates ◽  
Inflation Risk ◽  
New Approach ◽  
Expected Inflation ◽  
Inflation Risk Premium

This Economic Commentary explains a relatively new method of uncovering inflation expectations, real interest rates, and an inflation-risk premium. It provides estimates of expected inflation from one month to 30 years, an estimate of the inflation-risk premium, and a measure of real interest rates, particularly a short (one-month) rate, which is not readily available from the TIPS market. Calculations using the method suggest that longer-term inflation expectations remain near historic lows. Furthermore, the inflation-risk premium is also low, which in the model means that inflation is not expected to deviate far from expectations.

Application of the Hansen Solubility Parameters Theory to Carbon Nanotubes

2008 ◽  
Vol 8 (11) ◽  
pp. 6082-6092 ◽  
Author(s):  
S. Detriche ◽  
G. Zorzini ◽  
J.-F. Colomer ◽  
A. Fonseca ◽  
J. B. Nagy
Keyword(s):  
Carbon Nanotubes ◽  
Present Approach ◽  
New Method ◽  
Solubility Parameters ◽  
Hansen Solubility Parameters ◽  
High Solubility ◽  
New Approach ◽  
Hansen Solubility

Carbon nanotubes (CNT) are very promising nano-objects due to their exceptional properties. However, their tendency to form bundles as well as their insolubility in common solvents makes them difficult to handle. The main way to solve the problem is chemical or physical CNTs functionalisations, with all the problems inherent to the methods. In this contribution, we present a new approach that allows predicting the solubility of carbon nanotubes in many solvents but also predicting the most appropriate solvents to use for given samples of CNTs. Solubilisation and dispersion being directly connected, the present approach of solubilisation proves also to be efficient in dispersing the CNTs bundles. This contribution is a first step toward the control of carbon nanotube's dispersion in polymers and their homogenous functionalisation. Moreover, we also report here a new method, based on solvents, to separate carbon nanotubes by size, the use of mixture of non-solvents in order to obtain good solvents and the use of mixture of good solvents to obtain higher solubility. The use of mixture of good solvents allowed us to obtain high solubility, up to three times higher then that reported in literature. We have also measured and analysed the solubility of some functionalised carbon nanotubes.

scholarly journals A New Approach for Resolving Conflicts in Actionable Behavioral Rules

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Peng Su ◽  
Dan Zhu ◽  
Daniel Zeng
Keyword(s):  
Prediction Accuracy ◽  
New Method ◽  
Best Interest ◽  
New Approach ◽  
Actionable Knowledge ◽  
Empirical Results ◽  
Ranking Procedure ◽  
Valid Method ◽  
Weight Parameter ◽  
Behavioral Rules

Knowledge is considered actionable if users can take direct actions based on such knowledge to their advantage. Among the most important and distinctive actionable knowledge are actionable behavioral rules that can directly and explicitly suggest specific actions to take to influence (restrain or encourage) the behavior in the users’ best interest. However, in mining such rules, it often occurs that different rules may suggest the same actions with different expected utilities, which we call conflicting rules. To resolve the conflicts, a previous valid method was proposed. However, inconsistency of the measure for rule evaluating may hinder its performance. To overcome this problem, we develop a new method that utilizes rule ranking procedure as the basis for selecting the rule with the highest utility prediction accuracy. More specifically, we propose an integrative measure, which combines the measures of the support and antecedent length, to evaluate the utility prediction accuracies of conflicting rules. We also introduce a tunable weight parameter to allow the flexibility of integration. We conduct several experiments to test our proposed approach and evaluate the sensitivity of the weight parameter. Empirical results indicate that our approach outperforms those from previous research.

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