scholarly journals Identification, Decomposition and Segmentation of Impulsive Vibration Signals with Deterministic Components—A Sieving Screen Case Study

Sensors ◽  
2020 ◽  
Vol 20 (19) ◽  
pp. 5648 ◽  
Author(s):  
Karolina Gąsior ◽  
Hanna Urbańska ◽  
Aleksandra Grzesiek ◽  
Radosław Zimroz ◽  
Agnieszka Wyłomańska
Keyword(s):  
Damage Detection ◽  
Regime Switching ◽  
Real Data ◽  
Least Square Method ◽  
Diagnostic Procedures ◽  
High Amplitude ◽  
Industrial Applications ◽  
Least Square ◽  
Raw Material ◽  
Rolling Element Bearing

Condition monitoring is a well-established field of research; however, for industrial applications, one may find some challenges. They are mostly related to complex design, a specific process performed by the machine, time-varying load/speed conditions, and the presence of non-Gaussian noise. A procedure for vibration analysis from the sieving screen used in the raw material industry is proposed in the paper. It is more for pre-processing than the damage detection procedure. The idea presented here is related to identification and extraction of two main types of components: (i) deterministic (D)—related to the unbalanced shaft(s) and (ii) high amplitude, impulsive component randomly (R) appeared in the vibration due to pieces of ore falling down of moving along the deck. If we could identify these components, then we will be able to perform classical diagnostic procedures for local damage detection in rolling element bearing. As deterministic component may be AM/FM modulated and each impulse may appear with different amplitude and damping, there is a need for an automatic procedure. We propose a method for signal processing that covers two main steps: (a) related to R/D decomposition and including signal segmentation to neglect AM/FM modulations, iterative sine wave fitting using the least square method (for each segment), signal filtering technique by subtraction fitted sine from the raw signal, the definition of the criterion to stop iteration by residuals analysis, (b) impulse segmentation and description (beginning, end, max amplitude) that contains: detection of the number of impulses in a decomposed random part of the raw signal, detection of the max value of each impulse, statistical analysis (probability density function) of max value to find regime-switching), modeling of the envelope of each impulse for samples that protrude from the signal, extrapolation (forecasting) envelope shape for samples hidden in the signal. The procedure is explained using simulated and real data. Each step is very easy to implement and interpret thus the method may be used in practice in a commercial system.

scholarly journals A New Algorithm for Reconstructing Two-Dimensional Temperature Distribution by Ultrasonic Thermometry

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Xuehua Shen ◽  
Qingyu Xiong ◽  
Weiren Shi ◽  
Shan Liang ◽  
Xin Shi ◽  
...  
Keyword(s):  
Temperature Distribution ◽  
Ultrasound Velocity ◽  
Least Square Method ◽  
Reconstruction Algorithm ◽  
Industrial Applications ◽  
Least Square ◽  
Distribution Models ◽  
Practical Applications ◽  
Reconstruction Performance ◽  
Reconstructed Temperature

Temperature, especially temperature distribution, is one of the most fundamental and vital parameters for theoretical study and control of various industrial applications. In this paper, ultrasonic thermometry to reconstruct temperature distribution is investigated, referring to the dependence of ultrasound velocity on temperature. In practical applications of this ultrasonic technique, reconstruction algorithm based on least square method is commonly used. However, it has a limitation that the amount of divided blocks of measure area cannot exceed the amount of effective travel paths, which eventually leads to its inability to offer sufficient temperature information. To make up for this defect, an improved reconstruction algorithm based on least square method and multiquadric interpolation is presented. And then, its reconstruction performance is validated via numerical studies using four temperature distribution models with different complexity and is compared with that of algorithm based on least square method. Comparison and analysis indicate that the algorithm presented in this paper has more excellent reconstruction performance, as the reconstructed temperature distributions will not lose information near the edge of area while with small errors, and its mean reconstruction time is short enough that can meet the real-time demand.

The three‐parameter equation: An efficient tool to enhance the stack

Geophysics ◽  
1994 ◽  
Vol 59 (2) ◽  
pp. 297-308 ◽  
Author(s):  
Pierre D. Thore ◽  
Eric de Bazelaire ◽  
Marisha P. Rays
Keyword(s):  
Synthetic Data ◽  
Real Data ◽  
Least Square Method ◽  
Maximum Energy ◽  
Computational Effort ◽  
Velocity Estimation ◽  
Least Square ◽  
Waveform Data ◽  
Interval Velocity ◽  
Parameter Equation

We compare the three‐term equation to the normal moveout (NMO) equation for several synthetic data sets to analyze whether or not it is worth making the additional computational effort in the stacking process within various exploration contexts. In our evaluation we have selected two criteria: 1)The quality of the stacked image. 2) The reliability of the stacking parameters and their usefulness for further computation such as interval velocity estimation. We have simulated the stacking process very precisely, despite using only the traveltimes and not the full waveform data. The procedure searches for maximum coherency along the traveltime curve rather than a least‐square regression to it. This technique, which we call the Gaussian‐weighted least square, avoids most of the shortcomings of the least‐square method. The following are our conclusions: 1) The three term equation gives a better stack than the regular NMO. The increase in stacking energy can be more than 30 percent. 2)The calculation of interval velocities using a DIX formula rewritten for the three‐parameter equation is much more stable and accurate than the standard DIX formula. 3) The search for the three parameters is feasible in an efficient way since the shifted hyperbola requires only static corrections rather than dy namic ones. 4) Noise alters the parameters of the maximum energy stack in a way that depends on the noise type. The estimates obtained remain accurate enough for interval velocity estimation (where only two parameters are needed), but the use of the three parameters in direct inversion may be hazardous because of noise corruption. These conclusions should, however, be verified on real data examples.

scholarly journals THE LAST TIME ANALYSIS OF THE FOLLOWING FAMILY IN AL-QUR'AN PERSPECTIVE

2020 ◽  
Vol 2 (2) ◽  
pp. 18-20
Author(s):  
Rona Dwi Rahmah
Keyword(s):  
Natural Disasters ◽  
Correlation Coefficient ◽  
Real Data ◽  
Least Square Method ◽  
Least Square ◽  
Single Word ◽  
Time Analysis ◽  
The Earth ◽  
Relationship Of ◽  
The Relationship

Abstract. Earthquakes are natural disasters caused by shocks on the earth due to faults and the sudden movement of tectonic rocks that make up the earth's crust. This study of earthquakes will be interesting if explored further from the perspective of the Qur'an because in the Qur'an there are many verses that speak of earthquakes. As explained in the Qur'an Al-Zalzalah verses 1-8. On February 14 2016 to February 23 2016 aftershocks occurred in the Klagon Village Area, Saradan District, Madiun. To analyze when the end of aftershocks ends by using the Least Square Method and the relationship of frequency of aftershocks to times that include the Omori, Omogi 1, Omogi 2 and Utsu methods. The conclusion of this study is the Omogi 2 method which has obtained the correlation coefficient r = 0.195 from the correlation value -1 ≤ r ≤ 1, with the aftershocks ending on day 464 and from the comparison of aftershock frequency corresponding to the graph between the results data calculations with real data (actual data) namely the Omogi 2 method. And basically the term earthquake in the Qur'an can still be said not to make the verses interpreted as a single word containing the meaning of the earthquake as a brief explanation of aftershocks in the perspective of the Qur'an.

Function Forecasting Sales of Row Materials with Least Square Method (Study Case PD Surabraja Jamblang, West Java Indonesia)

2017 ◽  
Vol 6 (2) ◽  
Author(s):  
Nurhana Dhea Parlina
Keyword(s):  
Least Squares Method ◽  
Raw Materials ◽  
Least Square Method ◽  
Least Square ◽  
Raw Material ◽  
Observation Data ◽  
West Java ◽  
Coefficient Corrélation ◽  
Correlation Result ◽  
Study Case

Aim of this study was to determine the method of quantitative sales forecasting for needed raw materials. Population in this study are sales data PD Surabraja in Jamblang West Java from January 2012 to September 2015. This study using purposive sampling and data collection by observation. Data were analyzed using the least squares method. The study found that there are effects sales forecasting on raw materials. This research is relation of  sales forecasting and  real forecasting  are most weak from value of coefficient correlation - 0.0012. This means value of correlation result negative close score 0 so relation of sales forecasting with from least square method to determine raw material method in PD. Surabradja in period of time certaintly for the future. Forcasting SJMBDUS in month of October 2018 as many 14,32 kg.

scholarly journals Factors of Export Promotion of MSME in India with Special Reference to Raw Material Availability

2020 ◽  
Vol 47 (1) ◽  
pp. 17-32
Author(s):  
Kalpataru Bandopadhyay ◽  
Tagar Lal Khan
Keyword(s):  
Special Reference ◽  
Raw Materials ◽  
Least Square Method ◽  
Export Promotion ◽  
Point Of View ◽  
Least Square ◽  
Raw Material ◽  
Data Series ◽  
Poor Growth ◽  
The Government

With around 30 per cent contribution towards GDP and 40 per cent export of the country, the growth of the micro, small and medium enterprise (MSME) sector is an important driver of the Indian economy. This article seeks to identify the factors for export promotion from both the macro and micro point of view. Thus the study is to consider the factors of MSME sector as a whole with special reference to availability of raw materials. The linear regression model with the ordinary least square method has been applied after examining autocorrelation and multicollinearity in the data series. It has been concluded that foreign exchange rate, fixed investment and financial support from the government affect export performances of MSME. With the growth analysis and determination of Levene’s Test for Equality of Variances among coconut and coir production and the amount of export, it is observed that the poor growth in availability of raw material may have affected the export performances adversely.

Approximating the asymptomatic infectious cases of the COVID-19 disease in Algeria and India using a mathematical model

2021 ◽  
Author(s):  
Salih Djilali ◽  
Soufiane Bentout ◽  
Sunil Kumar ◽  
Tarik Mohammed Touaoula
Keyword(s):  
Mathematical Model ◽  
Reproduction Number ◽  
Transmission Rate ◽  
Real Data ◽  
Least Square Method ◽  
Least Square ◽  
Regular Treatment ◽  
Asymptomatic Individuals ◽  
The Basic Reproduction Number ◽  
Artificial Solution

In this research, we are interested in discussing the evolution of the COVID-19 infection cases and predicting the spread of COVID-19 disease in Algeria and India. To this aim, we will approximate the transmission rate in terms of the measures taken by the governments. The least square method is used with an accuracy of 95% for fitting the artificial solution with the real data declared by WHO for the purpose of approximating the density of asymptomatic individuals for COVID-19 disease. As a result, we obtained the different values of the basic reproduction number (BRN) corresponding to each measure taken by the governments. Moreover, we estimate the number of asymptomatic infected persons at the epidemic peak for each country. Further, we will determine the needed ICU beds (intense medical carte beds) and regular treatment beds. Also, we provide the outcome of governmental strategies in reducing the spread of disease. Combining all these components, we offer some suggestions about the necessity of using the recently discovered vaccines as Pfizer/Bioentec and Moderna for limiting the spread of the COVID-19 disease in the studied countries.

scholarly journals Burr XII Fréchet Distribution: Properties, Bayesian and Classical Estimation

2019 ◽  
pp. 773-796
Author(s):  
Mohamed Ibrahim Mohamed
Keyword(s):  
Monte Carlo ◽  
Real Data ◽  
Least Square Method ◽  
Least Square ◽  
The Other ◽  
Breaking Stress ◽  
Estimation Methods ◽  
Data Sets ◽  
Proposed Model ◽  
Sufficient Set

In this work, we introduce a new extension of the Fréchet distribution. A sufficient set of the mathematical and statistical properties have been derived. The estimation of the parameters is carried out by considering the different method of estimation. The performances of the proposed estimation methods are studied by Monte Carlo simulations. The potentiality of the proposed model has been analyzed through two data sets. The weighted least square method is the best method for modelling breaking stress data, the least square method is the best method for modelling strengths data, however all other methods performed well for both data sets. On the other hand, the new model gives the best …ts among all other …fitted extensions of the Fréchet models to these data. So, it could be chosen as the best model for modeling breaking stress and strengths real data.

scholarly journals Determinant Analysis of Decrease In Manufacturing Export Value Amid Depreciation of Rupiah Exchange Rate

2018 ◽  
Vol 6 (1) ◽  
pp. 69-74
Author(s):  
Nanik Ika Nurhayati
Keyword(s):  
Exchange Rate ◽  
Foreign Currency ◽  
Raw Materials ◽  
Value Added ◽  
Least Square Method ◽  
Least Square ◽  
Raw Material ◽  
Analytical Technique ◽  
The Government ◽  
Determinant Analysis

Indonesia uses a system of floating exchange rate. The depreciation of the exchange rate, in which the value of domestic currency decreases and the value of foreign currency increases, will increase the export. The high depreciation of Rupiah should be able to increase the competitiveness of Indonesia’s export products, especially the manufacturing exports that have the greatest contribution to the total exports. However, what has happened in recent years is very different. The depreciation of Rupiah value cannot spur the value of Indonesia’s manufacturing exports. Based on the fact above, the research is entitled "Determinant Analysis of Decrease in Manufacturing Export Value amid Depreciation of Rupiah Exchange Rate. This research uses time series secondary data for the quarterly period of 2006Q1-201Q3 that is obtained from Bank Indonesia, International Financial Statistics, and World Bank. The analytical technique used is the OLS (Ordinary Least Square) method using E-Views 6. The results of this research indicate that the Rupiah exchange rate and the GDP growth of the export destination countries have a positive relationship but are insignificant to the manufacturing exports, while the inflation rate is negative and insignificant to the value of manufacturing exports. Meanwhile, the raw material import has a significant positive effect on manufacturing exports. This shows that the Indonesia’s manufacturing exports still depend on the imported raw materials. Related to this fact, the government must take a strategic step in the short term to increase the non-oil exports, especially the exports of manufactured products that are the high value-added export products.

Development of a Gas Flow Sensor Based on FS5 Hot-Film Probe

2014 ◽  
Vol 568-570 ◽  
pp. 537-541
Author(s):  
Lei Yang ◽  
Jia Qiang Yang
Keyword(s):  
High Precision ◽  
Output Voltage ◽  
Gas Flow ◽  
Characteristic Curve ◽  
Measurement Data ◽  
Least Square Method ◽  
Industrial Applications ◽  
Least Square ◽  
Flow Sensor ◽  
Hot Film

On the basis of thermal measuring method, a hot-film gas flow sensor is proposed. Its sensitive element is a FS5 probe, which is integrated with measuring resistance and temperature compensating resistance inside. In order to achieve temperature compensation, the main measuring circuit is designed. Considering minimizing errors in this circuit, the temperature correcting circuit is added to further modify output voltage. By fitting measurement data of gas flow and the final output voltage with least square method, an operating characteristic curve is obtained as well as its 4th order polynomial. Under equivalent conditions, the proposed sensor, a high-precision standard sensor and an industrial sensor are experimented upon and the contrast analysis of their measurement results is given. The experimental results prove that the proposed sensor has high precision with measurement error less than 3%. Therefore the proposed sensor is feasible for industrial applications.

Sign in / Sign up

Export Citation Format

Share Document