• Title/Summary/Keyword: King's theory

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Application of Hamilton variational principle for vibration of fluid filled structure

  • Khaled Mohamed Khedher;Muzamal Hussain;Rizwan Munir;Saleh Alsulamy;Ayed Eid Alluqmani
    • Advances in nano research
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    • v.15 no.5
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    • pp.401-410
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    • 2023
  • Vibration investigation of fluid-filled three layered cylindrical shells is studied here. A cylindrical shell is immersed in a fluid which is a non-viscous one. Shell motion equations are framed first order shell theory due to Love. These equations are partial differential equations which are usually solved by approximate technique. Robust and efficient techniques are favored to get precise results. Employment of the wave propagation approach procedure gives birth to the shell frequency equation. Use of acoustic wave equation is done to incorporate the sound pressure produced in a fluid. Hankel's functions of second kind designate the fluid influence. Mathematically the integral form of the Lagrange energy functional is converted into a set of three partial differential equations. It is also exhibited that the effect of frequencies is investigated by varying the different layers with constituent material. The coupled frequencies changes with these layers according to the material formation of fluid-filled FG-CSs. Throughout the computation, it is observed that the frequency behavior for the boundary conditions follow as; clamped-clamped (C-C), simply supported-simply supported (SS-SS) frequency curves are higher than that of clamped-simply (C-S) curves. Expressions for modal displacement functions, the three unknown functions are supposed in such way that the axial, circumferential and time variables are separated by the product method. Computer software MATLAB codes are used to solve the frequency equation for extracting vibrations of fluid-filled.

A Study on King Sejong's Amicable Consciousness of Confucianism and Buddhism (세종대왕의 유불화해의식에 관한 연구)

  • Cho, Nam-Uk
    • Journal of Ethics
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    • no.80
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    • pp.1-30
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    • 2011
  • Confucianism and Buddhism were compatible in the period of Goryeo Dynasty. And then, the rulers worshiped Confucianism and repressed the religious activity of the Buddhist monk in the early years of the Joseon Dynasty. But King Sejong planed to bring reconciliation between Confucianism and Buddhism. Especially on the ceremonies of mourning and sacrificial rituals, he always performed the two religious style. The reason of sticking to his amicable consciousness is as follows. Firstly, he thinks that both the theory of Confucianism and the religious spirit of Buddhism are very important for the building up the foundation of his Dynasty. Secondly, his mind has been of a same faith cure on the incurable disease. Therefor, when the Royal family is taken ill he must pray to Buddha for recovery from the first stage. Thirdly, he regards social conditions to be the most important and respect for man's life and dignity for the purpose of beneficent administration. But Joseon's government line was the anti-Buddhist policy. So, the policy came in the wake of a debate among King Sejong and Confucian government officials. However his harmonious mind was unchanged between Confucianism and Buddhism. After all, in the last phase of his life he was deeply religious on Buddhism. I think that King Sejong's amicable consciousness could make a contribution to overcome religious conflicts and to create a new political cultural form in the modern society

The Paradox of Analysis and Some Resolutions (분석의 역설과 역설회피의 전략)

  • Park, Joonho
    • Korean Journal of Logic
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    • v.17 no.2
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    • pp.287-322
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    • 2014
  • We put forward a scheme of the theory of analysis, and G. E. Moore's theory of analysis is reconstructed. As C. H. Langford pointed out, Moore's theory commits to the paradox of analysis which says that if a analysis is correct then it is not informative, and if it is informative it is not correct. For, according to his theory, analysing statement is necessarily true identity statement and have some information. Moorean responses which is given by Max Black, Raymond Bradley and Norman Swartz, and Wilfrid Sellars rely on the distinction between the information about concepts and linguistic entity. These approaches are deficient in dealing properly with the difference in concepts as analysandum and analysans. Also, non-Moorean resolutions asserted by Myers, King, Black, and Earl are examined.

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Free vibration analysis of power-law and sigmoidal sandwich FG plates using refined zigzag theory

  • Aman Garg;Simmi Gupta;Hanuman D. Chalak;Mohamed-Ouejdi Belarbi;Abdelouahed Tounsi;Li Li;A.M. Zenkour
    • Advances in materials Research
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    • v.12 no.1
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    • pp.43-65
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    • 2023
  • Free vibration analysis of power law and sigmoidal sandwich plates made up of functionally graded materials (FGMs) has been carried out using finite element based higher-order zigzag theory. The present model satisfies all-important conditions such as transverse shear stress-free conditions at the plate's top and bottom surface along with continuity condition for transverse stresses at the interface. A Nine-noded C0 finite element having eleven degrees of freedom per node is used during the study. The present model is free from the requirement of any penalty function or post-processing technique and hence is computationally efficient. The present model's effectiveness is demonstrated by comparing the present results with available results in the literature. Several new results have been proposed in the present work, which will serve as a benchmark for future works. It has been observed that the material variation law, power-law exponent, skew angle, and boundary condition of the plate widely determines the free vibration behavior of sandwich functionally graded (FG) plate.

Nonlocal Mindlin plate theory with the application for vibration and bending analysis of nanoplates with the flexoelectricity effect

  • Pham Ba Khien;Du Dinh Nguyen;Abdelouahed Tounsi;Bui Van Tuyen
    • Advances in nano research
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    • v.16 no.1
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    • pp.27-40
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    • 2024
  • This work is the first of its kind to integrate Mindlin's theory with analytical methods in order to produce an exact solution to a specific vibration issue as well as a bending problem involving a nanoplate that is supported by a viscoelastic foundation. The plate is exposed to the simultaneous effects of a compressive load in the plate plane and a force operating perpendicular to the plane of the nanoplate. In addition, the flexoelecity effect is included into the plate. The strain gradient component is taken into consideration while calculating the plate equilibrium equation using the nonlocal theory and Hamilton's principle. The free vibration and static responses of the nanoplate seem to be both real and imaginary components because of the appearance of the viscoelastic drag coefficient of the viscoelastic foundation. This study also shows that when analyzing the mechanical response for nanostructure, taking into account the flexoelectricity effect and the influence of the nonlocal parameter, the results will be completely different from the case in which this parameter is ignored. This indicates that it is vital to take into consideration the effects of nonlocal parameters on the nanosheet structure while also taking into consideration the effect of flexoelectricity.

A new four-unknown equivalent single layer refined plate model for buckling analysis of functionally graded rectangular plates

  • Ibrahim Klouche Djedid;Sihame Ait Yahia;Kada Draiche;Emrah Madenci;Kouider Halim Benrahou;Abdelouahed Tounsi
    • Structural Engineering and Mechanics
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    • v.90 no.5
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    • pp.517-530
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    • 2024
  • This paper presents a new four-unknown equivalent single layer (ESL) refined plate theory for the buckling analysis of functionally graded (FG) rectangular plates with all simply supported edges and subjected to in-plane mechanical loading conditions. The present model accounts for a parabolic variation of transverse shear stress over the thickness, and accommodates correctly the zero shear stress conditions on the top and bottom surfaces of the plate. The material properties are supposed to vary smoothly in the thickness direction through the rules of mixture named power-law gradation. The governing equilibrium equations are formulated based on the total potential energy principle and solved for simply supported boundary conditions by implementing the Navier's method. A numerical result on elastic buckling using the current theory was computed and compared with those published in the literature to examine the accuracy of the proposed analytical solution. The effects of changing power-law exponent, aspect ratio, thickness ratio and modulus ratio on the critical buckling load of FG plates under different in-plane loading conditions are investigated in detail. Moreover, it was found that the geometric parameters and power-law exponent play significant influences on the buckling behavior of the FG plates.

The Construction Theary of "Sim-Eui" During Chosun Dynasty (조선시대 심의 구성이론)

  • 조효춘
    • Journal of the Korean Society of Costume
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    • v.27
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    • pp.27-40
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    • 1996
  • 1.It was recorded at "Dong Gook Tong Gam" of King "Jang Soo" that "Sim-Eui" in Korea was first introduced from China at the reign of King, "Moon Ja"(491,A.D), Go Goo Ryo. 2."Sim-Eui" was worn as a mourning dress during the period of "Go Ryo" and as a concanical robe of Confucian, a ceremonial dress at home and for the rules of etiquettes during Cho Sun Dunasty. 3.Several theories about the construction and the using services of "Sim-Eui" are obseved and summerized. 4.Mr. Kyu-soo Park gives a definition to "Sim-Eui" as a Fortune of Heaven & Earth, the Constellation of the Cosmic Dual Forces, the Revolution of the Four Seasons, a dignified mien & the Way of a Man of Virtue and Virtue of the golden Mean. 5.I observed the concrete measurements of the each parts of "Sim-Eui" by the construction method of Kyu-Soo Park. 6.The Symbolic Meaning following the Idea of Mr. Chung, Hyun. describes well the line of thinking in our nation, and Idea of Loyalty & Filial Piety, a Man of Virtue and the Virtue of the Golden Mean. 7.As described above, I dare insist of the fact that the Construction Theory of "Sim-Eui" by Kyu-Soo Park during the letter period of Chosun Dynasty is full of our national manners and cus-toms with symbolizing meaning, construction's exquisiteness, clothes' materials and it's size most suitable to our people, to the exclusion of the defects in "Sim-Eui" of China and Japan.

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Vibration analysis of nonlocal advanced nanobeams in hygro-thermal environment using a new two-unknown trigonometric shear deformation beam theory

  • Mouffoki, Abderrahmane;Bedia, E.A. Adda;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Smart Structures and Systems
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    • v.20 no.3
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    • pp.369-383
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    • 2017
  • In this work, the effects of moisture and temperature on free vibration characteristics of functionally graded (FG) nanobeams resting on elastic foundation is studied by proposing a novel simple trigonometric shear deformation theory. The main advantage of this theory is that, in addition to including the shear deformation influence, the displacement field is modeled with only 2 unknowns as the case of the classical beam theory (CBT) and which is even less than the Timoshenko beam theory (TBT). Three types of environmental condition namely uniform, linear, and sinusoidal hygrothermal loading are studied. Material properties of FG beams are assumed to vary according to a power law distribution of the volume fraction of the constituents. Equations of motion are derived from Hamilton's principle. Numerical examples are presented to show the validity and accuracy of present shear deformation theories. The effects of hygro-thermal environments, power law index, nonlocality and elastic foundation on the free vibration responses of FG beams under hygro-thermal effect are investigated.

A novel hyperbolic shear deformation theory for the mechanical buckling analysis of advanced composite plates resting on elastic foundations

  • Soltani, Kheira;Bessaim, Aicha;Houari, Mohammed Sid Ahmed;Kaci, Abdelhakim;Benguediab, Mohamed;Tounsi, Abdelouahed;Alhodaly, Mohammed Sh
    • Steel and Composite Structures
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    • v.30 no.1
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    • pp.13-29
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    • 2019
  • This work presents the buckling investigation of functionally graded plates resting on two parameter elastic foundations by using a new hyperbolic plate theory. The main advantage of this theory is that, in addition to including the shear deformation effect, the displacement field is modelled with only four unknowns and which is even less than the first order shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT) by introducing undetermined integral terms, hence it is unnecessary to use shear correction factors. The governing equations are derived using Hamilton's principle and solved using Navier's steps. The validation of the proposed theoretical model is performed to demonstrate the efficacy of the model. The effects of various parameters like the Winkler and Pasternak modulus coefficients, inhomogeneity parameter, aspect ratio and thickness ratio on the behaviour of the functionally graded plates are studied. It can be concluded that the present theory is not only accurate but also simple in predicting the critical buckling loads of functionally graded plates on elastic foundation.

Physical stability response of a SLGS resting on viscoelastic medium using nonlocal integral first-order theory

  • Rouabhia, Abdelkrim;Chikh, Abdelbaki;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Heireche, Houari;Tounsi, Abdeldjebbar;Kouider Halim, Benrahou;Tounsi, Abdelouahed;Al-Zahrani, Mesfer Mohammad
    • Steel and Composite Structures
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    • v.37 no.6
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    • pp.695-709
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    • 2020
  • The buckling properties of a single-layered graphene sheet (SLGS) are examined using nonlocal integral first shear deformation theory (FSDT) by incorporating the influence of visco-Pasternak's medium. This model contains only four variables, which is even less than the conventional FSDT. The visco-Pasternak's medium is introduced by considering the damping influence to the conventional foundation model which modeled by the linear Winkler's coefficient and Pasternak's (shear) foundation coefficient. The nanoplate under consideration is subjected to compressive in- plane edge loads per unit length. The impacts of many parameters such as scale parameter, aspect ratio, the visco-Pasternak's coefficients, damping parameter, and mode numbers on the stability investigation of the SLGSs are examined in detail. The obtained results are compared with the corresponding available in the literature.