Determination of product fragility and environment parameters based on mathematical statistics in cushioning package design

2011 ◽  
Author(s):  
Xianfeng Kuang ◽  
Zhiwei Wang
Keyword(s):  
Mathematical Statistics ◽  
Package Design ◽  
Environment Parameters ◽  
Cushioning Package

Photoelast Method and Possible Applications of Mathematical Statistics in Prediction of Stress State of Structural Elements

2014 ◽  
Vol 611 ◽  
pp. 405-411 ◽  
Author(s):  
Oskar Ostertag ◽  
Eva Ostertagová ◽  
Peter Frankovský
Keyword(s):  
Stress State ◽  
Stress Concentration ◽  
Stress Field ◽  
Statistical Methods ◽  
Mathematical Statistics ◽  
Structural Elements ◽  
State Development ◽  
Stress States ◽  
Structural Parts

The presented article is dedicated to stress state development while assessing the concentration of stresses in samples with continuously changing notches. These samples represent connecting elements of structural parts. The stress states of selected samples were determined experimentally by means of reflection photoelasticity. This method is suitable mainly for determination of stress state in the whole area in question, predominantly though for the analysis of stress concentration and its gradient in the notched area. Within the method of reflection photoelasticity, a layer was used to analyse the stress field. When loaded, this layer exhibits the ability of temporal birefringence. One of the statistical methods was selected in order to predict the stress state of other samples with bigger notches.

Determination of Pitch Row for a Phonogram: Statistical Criterion of “Truth”

10.34690/11 ◽  
2019 ◽  
pp. 230-239
Author(s):  
А.В. Харуто
Keyword(s):  
Experimental Investigation ◽  
Statistical Analysis ◽  
Estimation Algorithm ◽  
Statistical Distribution ◽  
Mathematical Statistics ◽  
Statistical Criterion ◽  
Sound Analysis ◽  
Pitch System

Современные компьютерные методы анализа звука позволяют вычислить точную мелодическую линию и определить звуковысотную систему, применяемую исполнителем. Экспериментальное исследование звукоряда производится обычно в ситуации, когда его структура заранее неизвестна. Для выявления ступеней звукоряда осуществляется статистический анализ звуковысотного рисунка и определяются положения локальных максимумов статистического распределения времени использования разных высот. При анализе звукоряда возникает задача обоснованного выбора его параметров; в статье предлагается использовать для этого методы математической статистики с учетом разрешающих свойств слуха. Все необходимые вычисления реализованы в компьютерной программе SPAX, разработанной автором. Contemporary computer techniques of sound analysis provide high precise melody analysis and estimation of sound pitch row. Usually, before experimental investigation, the structure of analyzed pitch system is unknown. In order to estimate pitch row stages, statistical analysis of melody line will be applied. Stage positions correlate with local maximums of statistical distribution of sounding durations on different pitches. For such analysis, some parameters of estimation algorithm must be chosen. This problem will be solved by applying of methods of mathematical statistics with accor ding to humans resolution of hearing. All needed transformations will be fulfilled in authors program SPAX.

Reverse Design for Wine Cushioning Package of Honeycomb Paper Core

2013 ◽  
Vol 312 ◽  
pp. 200-204
Author(s):  
Jian Wu ◽  
Yong Long Wang ◽  
Le Yang Chen ◽  
Yan Ping Du ◽  
Li Yang
Keyword(s):  
Design Method ◽  
Experimental Tests ◽  
Structure Design ◽  
Test Time ◽  
Maximum Acceleration ◽  
Package Design ◽  
Function Relationship ◽  
The Cost ◽  
Relationship Of ◽  
Cushioning Package

Based on the background of cushioning package design for the wine bottles, the analysis on the cushioning properties of honeycomb paper core is presented. The reverse design method based on the function relationship of cushioning package is proposed, to make the cushioning structure design and cushioning dimension design as well as the buffering pad checkout, including strength check, deflection check and creep deformation check to make sure design meets the requirements. The function relation of the maximum acceleration and static stress between arbitrary dropping height and thickness of cushion is obtained. The reverse design method can obtain any curve of any dropping height and any cushioning thickness through several experimental tests. The flexibility, what is more important is that the method can greatly reduce test time, saves the cost of enterprises and technology research & development. The method provides a new way to the cushioning package design.

scholarly journals Determination of the distance between dots at band scheme of sowing onion seeds

2021 ◽  
pp. 53-56
Author(s):  
Vusala Sabir gyzy Alekberova
Keyword(s):  
Root Mean Square ◽  
Coefficient Of Variation ◽  
Field Tests ◽  
Arithmetic Mean ◽  
Mathematical Statistics ◽  
Technological Scheme ◽  
Mean Square

The article presents the results of field tests of an experimental seeder when sowing seeds of onion varieties “Bereketli” with a ribbon-dotted pattern. At the same time, the developed technological scheme and the principle of operation of the experimental machine are presented. The experimental machine is based on the SZS-2,1 seeder with a reel-to-reel sowing device. The experimental seeder is additionally equipped with Romanian-made "HRC" seed drills.Processing the results of experiments of mathematical statistics show that with an increase in the speed of the tractor movement, the coefficient of variation, the arithmetic mean and root-mean-square value increases.

scholarly journals Clinical structure of motor disorders in patients, having hadcerebral insult, and their evaluation with the help of applied mathematical statistics

2021 ◽  
Vol XXX (3-4) ◽  
pp. 14-18
Author(s):  
L. A. Shevchenko
Keyword(s):  
Correlation Analysis ◽  
Clinical Data ◽  
Past History ◽  
Clinical Signs ◽  
Mathematical Statistics ◽  
Motor Disorders ◽  
History Of

On the basis of analyzing clinical data and data from past history of patients with postinsult neurologic dificiency, a conclusion has been made by correlation analysis and determination of connection closeness between separate clinical signs. The conclusion tells about nonhomogeneity of motor disorders genesis in patients with hemi-sphere insult, foundation of which different chains of pathophysiology process make up.

scholarly journals Academician CAIUS IACOB – a Brilliant Mathematician Fascinated by Mechanics

2020 ◽  
Vol 12 (1) ◽  
pp. 243-248
Author(s):  
Nicolae-Florin ZAGANESCU ◽  
Rodica ZAGANESCU ◽  
Constantin-Marcian GHEORGHE
Keyword(s):  
Compressible Flow ◽  
Applied Mathematics ◽  
Flow Theory ◽  
Mathematical Statistics ◽  
French Mathematician ◽  
Mathematics Section ◽  
Romanian Academy ◽  
Brilliant Mathematician ◽  
Phd Thesis

The paper presents some interesting aspects related to the biography and works of Romanian mathematician Caius Iacob (1912–1992). He was famous for his works in the fields of mathematical analysis, fluid mechanics, classical hydrodynamics and compressible-flow theory. At the age of 19, he graduated from the Mathematics Faculty in Bucharest, and then he went to Paris to continue his studies at the Faculty of Sciences, where he worked on a PhD thesis under the advice of famous French mathematician Henri Villat. On 24 June 1935, Caius Iacob successfully presented to the Sorbonne committee his PhD thesis about “Determination of conjugated harmonic functions with some limit conditions, and their applications in hydrodynamics”. Returning to Romania, Caius Iacob had a long and successful career teaching mathematics and mechanics at the universities of Timişoara, Cluj and Bucharest. His most important work is considered the “Mathematical introduction to the mechanics of fluids”. This book, providing original ways to work with classical hydrodynamics and compressible-flow theory, was published in Romanian in 1952 and in French in 1959. In 1955, he was elected a Corresponding Member of the Romanian Academy, becoming a titular Member in 1963. He was also President of the Mathematics Section of the Romanian Academy from 1980 until the end of his life, in 1992. In 1991, he initiated the foundation of the “Romanian Academy Institute of Applied Mathematics”. In 2001 the institute merged with the “Centre for Mathematical Statistics”, which had been created in 1964 by mathematician Gheorghe Mihoc, thus creating the “Gheorghe Mihoc – Caius Iacob Institute of Mathematical Statistics and Applied Mathematics” of the Romanian Academy.

Sign in / Sign up

Export Citation Format

Share Document