scholarly journals An Analytical Approach to Obtaining the Stress Field of a Cylindrical Shell with a Circular Hole under Tension

2021 ◽  
pp. 64-75
Author(s):  
S. V Kashtanova ◽  
A. V Rzhonsnitskiy

The problem of a cylindrical shell with a circular hole under uniaxial tension is considered. The main obstacle of solving this problem is the necessity to find such coefficients in the expansion of the solution into a sum of basis functions, for which this solution satisfies the boundary conditions. The study of the classical works led to understanding that none of the so far proposed approaches can be considered successfully, and the results of these approaches differ, so it is not clear, which results can be used as a basis. In the present paper, a new analytical approach to studying this issue is proposed. It allows expanding the range of applicability of the solution and gives the opportunity for the analytical study of the stress state. The idea consists in expanding each of the basis functions in a Fourier series by dividing the variables, which allows obtaining explicitly an infinite system of algebraic equations for finding coefficients. One of the important steps of this research is that the authors were able to prove which exact equation is a linear combination of the others and exclude, which made it possible to compose a reduced system for finding unknown coefficients. The proposed approach, in contrast to most classical works, does not impose mathematical restrictions on the values of the main parameter characterizing the cylindrical shell. The existing restrictions are of mechanical nature, as larger cutouts require another model. Moreover, the numerical results obtained by the new method are presented in a fairly complete manner and they are compared with the results of the classical works.

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
N. H. Sweilam ◽  
M. M. Khader ◽  
W. Y. Kota

A numerical method for solving fourth-order integro-differential equations is presented. This method is based on replacement of the unknown function by a truncated series of well-known shifted Chebyshev expansion of functions. An approximate formula of the integer derivative is introduced. The introduced method converts the proposed equation by means of collocation points to system of algebraic equations with shifted Chebyshev coefficients. Thus, by solving this system of equations, the shifted Chebyshev coefficients are obtained. Special attention is given to study the convergence analysis and derive an upper bound of the error of the presented approximate formula. Numerical results are performed in order to illustrate the usefulness and show the efficiency and the accuracy of the present work.


2018 ◽  
Vol 7 (2.20) ◽  
pp. 182
Author(s):  
B Mounika ◽  
P Poluraju

Earthquake affected structures, mostly failure occur at beam column joints (BCJ). BCJs are categorized according to their geometrical grouping as Interior, Exterior, and Corner joints. Exterior beam column joint (i.e., terminating the beam on one of the column faces) was the most vulnerable one with respect to the plane of loading. The present study aims at ductility behaviour of exterior BCJ with conventional reinforcement using the code IS 456-2000 and with special confining reinforcement using the Code IS 13920-2016. Four number of beam-column joint specimens are considered in which the first one is detailed as per IS 456-2000, the second one as per IS 13920-2016 and the other two with 50% and 30% reduction of shear reinforcement was provided while compared with the first specimen. It is mainly to satisfy the strong column-weak beam concept as the main parameter. The test was carried out on the loading frame with hinged conditions to the column both ends, and the load is applied at the tip of the beam. The experimental studies are proven with an analytical study carried out by finite element model by using ANSYS and disparate parameters are assessed both experimentally and analytically.  


1981 ◽  
Vol 48 (4) ◽  
pp. 876-880 ◽  
Author(s):  
T. D. Gerhardt ◽  
Shun Cheng

An improved elasticity solution for the cylinder problem with axisymmetric torsionless end loading is presented. Consideration is given to the specification of arbitrary stresses on the end of a semi-infinite cylinder with a stress-free lateral surface. As is known from the literature, the solution to this problem is obtained in the form of a nonorthogonal eigenfunction expansion. Previous solutions have utilized functions biorthogonal to the eigenfunctions to generate an infinite system of linear algebraic equations for determination of the unknown expansion coefficients. However, this system of linear equations has matrices which are not diagonally dominant. Consequently, numerical instability of the calculated eigenfunction coefficients is observed when the number of equations kept before truncation is varied. This instability has an adverse effect on the convergence of the calculated end stresses. In the current paper, a new Galerkin formulation is presented which makes this system of equations diagonally dominant. This results in the precise calculation of the eigenfunction coefficients, regardless of how many equations are kept before truncation. By consideration of a numerical example, the present solution is shown to yield an accurate calculation of cylinder stresses and displacements.


2021 ◽  
Vol 9 (3) ◽  
pp. 485-504
Author(s):  
Aisha Mohamed Ismail Elamin

This study aims to determine the tort responsibility of the journalist in case of violating the rights of individuals and the extent of the possibility to avoid the tort responsibility of the journalist. This can happen through the decisions of the competent committees to consider violations of the provisions of the Saudi Press and Publication Law, based on the reasoning of its decisions on Article (9) of the Saudi Press and Publication Law. In the research, the analytical approach is used to the relevant texts from the Saudi Press and Publication System and the applied approach, which is based on strengthening legal and legal positions with judicial positions. In this study, the author addresses the pillars of the tort responsibility of the journalist by highlighting the pillars of Tort and damage, with the possibility of pushing the journalist to tort responsibility through satisfaction with the publication and the right to objective criticism. The study recommended: reorganizing the journalist’s tort responsibility through the inclusion of legal texts in the publications and publishing system due to the absence of legalization of financial transactions, which shows the general rules of responsibility, and publishing the decisions of the competent committees to consider violations of the provisions of the Saudi Press and Publication Law as a result of the absence of legalization of civil transactions.Keywords: Journalist Tort; Human Dignity; Privacy; Moral Damage; Objective Criticism Tanggung Jawab Kerugian Wartawan dan Cara Menghindarinya Berdasarkan Sistem Publikasi dan Pers Saudi: Sebuah Studi Analitis Abstrak:Penelitian ini bertujuan untuk mengetahui tanggung jawab gugatan wartawan dalam kasus pelanggaran hak-hak individu dan sejauh mana kemungkinan untuk menghindari tanggung jawab gugatan wartawan. Hal ini dapat terjadi melalui keputusan komite yang berwenang untuk mempertimbangkan pelanggaran ketentuan Undang-Undang Pers dan Publikasi Saudi, berdasarkan pertimbangan keputusannya pada Pasal (9) Undang-Undang Pers dan Publikasi Saudi. Dalam penelitian ini, pendekatan analitis digunakan pada teks-teks yang relevan dari Saudi Press and Publication System dan pendekatan terapan, yang didasarkan pada penguatan posisi hukum dan hukum dengan posisi yudisial. Dalam studi ini, penulis membahas pilar-pilar tanggung jawab kerugian jurnalis dengan menyoroti pilar-pilar kerugian dan kerugian, dengan kemungkinan mendorong jurnalis untuk melakukan tanggung jawab kerugian melalui kepuasan terhadap publikasi dan hak atas kritik yang objektif. Kajian ini merekomendasikan: menata kembali tanggung jawab wanprestasi jurnalis melalui pencantuman teks hukum dalam sistem penerbitan dan penerbitan karena tidak adanya legalisasi transaksi keuangan, yang menunjukkan aturan umum pertanggungjawaban, dan mempublikasikan keputusan komite yang berwenang untuk mempertimbangkan pelanggaran. ketentuan Hukum Pers dan Publikasi Saudi sebagai akibat tidak adanya legalisasi transaksi perdata.Kata Kunci: Gugatan Wartawan; Harga diri manusia; Pribadi; Kerusakan Moral; Kritik Objektif Деликатная ответственность журналиста и способы ее избежать в свете саудовской прессы и системы публикаций: аналитическое исследованиеАбстрактный:Это исследование направлено на определение деликтной ответственности журналиста в случае нарушения прав человека и степени возможности избежать деликтной ответственности журналиста. Это может произойти в результате решений компетентных комитетов о рассмотрении нарушений положений Закона Саудовской Аравии о печати и публикациях на основании обоснования своих решений по статье (9) Закона Саудовской Аравии о печати и публикациях. В исследовании используется аналитический подход к релевантным текстам из Саудовской системы печати и публикаций и прикладной подход, который основан на усилении юридических и юридических позиций с помощью судебных позиций. В этом исследовании автор обращается к столпам деликтной ответственности журналиста, выделяя столпы деликта и ущерба, с возможностью подтолкнуть журналиста к деликтной ответственности через удовлетворение публикацией и право на объективную критику. В исследовании рекомендовалось: реорганизовать деликтную ответственность журналиста путем включения юридических текстов в системы публикаций и публикации в связи с отсутствием легализации финансовых операций, которая показывает общие правила ответственности, и опубликовать решения компетентных комитетов по рассмотрению нарушений. положений Закона о печати и публикациях Саудовской Аравии в результате отсутствия легализации гражданских сделок.Ключевые слова: журналист Tort; Человеческое достоинство; Конфиденциальность; Моральный урон; Объективная критика


Author(s):  
C-J Liao ◽  
W-K Jiang ◽  
H Duan ◽  
Y Wang

An analytical study on the vibration and acoustic radiation from an axially stiffened cylindrical shell in water is presented. Supposing that the axial stiffeners interact with the cylindrical shell only through radial forces, the reaction forces on the shell from stiffeners can be expressed by additional impedance. The coupled vibration equation of the finite cylindrical shell with axial stiffening is derived; in this equation additional impedance caused by the axial stiffeners is added. As a result, the vibration and sound radiation of the shell are dependent on the mechanical impedance of the shell, the radiation sound impedance, and the additional impedance of the axial stiffeners. Based on the numerical simulation, it is found that the existence of axial stiffeners decreases the sound radiation and surface average velocity, whereas it increases the radiation factor. The characteristics of the acoustic radiation can be understood from the simulation with good results, which show that the presented methodology can be used to study the mechanism of the acoustic radiation of the complicated cylindrical shell and to optimize its design.


1991 ◽  
Vol 113 (4) ◽  
pp. 681-688 ◽  
Author(s):  
Oktay Baysal ◽  
Mohamed E. Eleshaky

A mathematical formulation is developed for aerodynamic sensitivity coefficients based on a discretized form of the compressible, two-dimensional Euler equations. A brief motivating introduction to the aerodynamic sensitivity analysis and the reasons behind an integrated flow/sensitivity analysis for design algorithms are presented. Two approaches to determine the aerodynamic sensitivity coefficients, namely, the finite difference approach, and the quasi-analytical approach are discussed with regards to their relative accuracies and involved computational efforts. In the quasi-analytical approach, the direct and the adjoint variable methods are formulated and assessed. Also, several methods to solve the system of linear algebraic equations, that arises in the quasi-analytical approach, are investigated with regards to their accuracies, computational time and memory requirements. A new flow prediction concept, which is an outcome of the direct method in the quasi-analytical approach, is developed and illustrated with an example. Surface pressure coefficient distributions of a nozzle-afterbody configuration obtained from the predicted flow-field solution are compared successfully with their corresponding values obtained from a flowfield analysis code and the experimental data.


Author(s):  
Pascal Lemaitre ◽  
Amandine Nuboer ◽  
Arnaud Querel ◽  
Guillaume Depuydt ◽  
Emmanuel Porcheron

The accidents of Chernobyl and Fukushima have shown the necessity to better understand all the mechanisms implied in the scavenging of aerosol particles released to the atmosphere during a nuclear accident. Among all the phenomena involved in the deposition of aerosol particles, we focus here on the aerosol particles scavenging by the raindrops below the clouds, also called washout (as opposed to the rainout, which concerns scavenging inside the clouds). The strategy of IRSN to enhance the knowledge and the modelling of any mechanism involved in the washout of aerosol particles by rain spans from environmental studies, to analytical ones. The semi-analytical approach chosen here is halfway between these two modes of reasoning. A companion paper is also submitted to the conference to present the microphysical approach chosen at IRSN. In order to perform this study, aerosol particles were dispersed in the TOSQAN chamber, which is a large cylindrical enclosure (4.8 m height with 1.5 m internal diameter). The aerosol particles once dispersed, synthetic rains of different kinds (from stratiform to convective rains) can be activated. Finally, the instantaneous spectral scavenging coefficients are determined from the spectral decrease of aerosol particles concentration in the chamber as a function of time. In order to be able to produce synthetic rains representative of any tropospheric events, a special generator has been designed; it is based on a vibro-rotative disk. This generator is able to produce monodispersed rains at the top of the TOSQAN chamber with rainfall rates from 7 to 15 mm/h and drops diameters from 0.5 to 2.5 mm injected at velocities close to their terminal one. During these tests, the spectral aerosol concentration is measured in line with the help of a Welas granulometer. This instrument is based on white light scattering. The results of these experiments highlight the influence of “meteorological” conditions inside the chamber on the washout of the chamber atmosphere, especially when the relative humidity is reaching saturation.


2019 ◽  
Vol 8 (1) ◽  
pp. 80-93
Author(s):  
Kourosh Parand ◽  
Yasaman Lotfi ◽  
Jamal Amani Rad

AbstractIn this paper the boundary layer flow of a micro-polar fluid due to a linearly stretching sheet which is a non-linear system two-point boundary value problem (BVP) on semi-infinite interval has been considered. This the sheets are included the suction and injection. We solve this problem by two different collecation approaches and compare their results with solution of other methods. The proposed approaches are equipped by the direct (DRBF) and indirect radial basis functions (IRBF). Direct approach (DRBF) is based on a differential process and indirect approach (IRBF) is based on an integration process. These methods reduce solution of the problem to solution of a system of algebraic equations. Numerical results and residual norm show that the IRBF performs better than the common DRBF, and has an acceptable accuracy and high rate of convergence of IRBF process.


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