• Title/Summary/Keyword: The Theory of Principle

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Variational approximate for high order bending analysis of laminated composite plates

  • Madenci, Emrah;Ozutok, Atilla
    • Structural Engineering and Mechanics
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    • v.73 no.1
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    • pp.97-108
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    • 2020
  • This study presents a 4 node, 11 DOF/node plate element based on higher order shear deformation theory for lamina composite plates. The theory accounts for parabolic distribution of the transverse shear strain through the thickness of the plate. Differential field equations of composite plates are obtained from energy methods using virtual work principle. Differential field equations of composite plates are obtained from energy methods using virtual work principle. These equations were transformed into the operator form and then transformed into functions with geometric and dynamic boundary conditions with the help of the Gâteaux differential method, after determining that they provide the potential condition. Boundary conditions were determined by performing variational operations. By using the mixed finite element method, plate element named HOPLT44 was developed. After coding in FORTRAN computer program, finite element matrices were transformed into system matrices and various analyzes were performed. The current results are verified with those results obtained in the previous work and the new results are presented in tables and graphs.

The Relationship Between Love and Justice: Hegel's Theory of Recognition (사랑과 정의의 관계: 헤겔의 인정이론)

  • Seo, Yunho
    • Cross-Cultural Studies
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    • v.52
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    • pp.111-132
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    • 2018
  • The way of approaching 'the relationship between love and justice' varies from person to person. We can argue for superiority of love or for superiority of justice by understanding the relationship between the two as conflicting. We can also argue that we need each other by understanding each other as a complementary relationship rather than an oppositional relationship. Hegel, however, sees love and justice as independent constitutive principles valid in different areas and does not regard the two as opposing nor complementary. This can only be understood when the structure of Hegel's theory of recognition is properly assumed. The relationship between love and justice will be considered mainly in Hegel's theory of recognition. Key philosophical points of Hegel's theory of recognition and consequences drawn on the relationship between love and justice on the basis of the theory will be examined. This can be summarized in the form of a thesis, roughly as follows. - Hegel presents love, justice and solidarity, that are various forms of recognition, to a family, a civil society and a state, that are three forms of social relations, as their constitutive principles. He does not grasp the relationship between love and justice as oppositional nor as complementary, that is different from many people's general perspective on the relationship of the two. - In Hegel's theory of recognition, love and justice differ in the areas in which they are valid. Love is a valid principle in the intimacy, and justice is a valid principle in non-intimacy. So, if justice and rights are asserted in intimacy, the area of intimacy is destroyed. Conversely, if love is asserted in non-intimacy, it cannot exercise real influence. - In the political community such as a state, where intimacy and non-intimacy overlap each other, the principle of solidarity is needed as a new constitutive principle, since a state does not stand on the principle of love as in a family nor on the principle of justice as in a civil society.

Hamilton제s Principle for the Free Surface Waves of Finite Depth (유한수심 자유표면파 문제에 적용된 해밀톤원리)

  • 김도영
    • Journal of Ocean Engineering and Technology
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    • v.10 no.3
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    • pp.96-104
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    • 1996
  • Hamilton's principle is used to derive Euler-Lagrange equations for free surface flow problems of incompressible ideal fluid. The velocity field is chosen to satisfy the continuity equation a priori. This approach results in a hierarchial set of governing equations consist of two evolution equations with respect to two canonical variables and corresponding boundary value problems. The free surface elevation and the Lagrange's multiplier are the canonical variables in Hamilton's sense. This Lagrange's multiplier is a velocity potential defined on the free surface. Energy is conserved as a consequence of the Hamiltonian structure. These equations can be applied to waves in water of finite depth including generalization of Hamilton's equations given by Miles and Salmon.

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Reconsidering the Formal Accounts of Continuity in the Theory-Change from Newtonian to Einsteinian Physics

  • Yang, Kyoung-Eun
    • Korean Journal of Logic
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    • v.12 no.2
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    • pp.171-199
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    • 2009
  • This essay will consider evolutionary views that attempt to capture the continuity of theory-change from Newtonian to Einsteinian physics via the formal aspects of these theories. Although it cannot be denied that the formal aspects such as 'correspondence principles' and 'covariance principles' provide important information concerning this theory-change, these formal properties are not sufficient to capture the essential elements of any evolutionary account of the development of Einstein's special and general theories of relativity from Newtonian mechanics.

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Reconsideration about the Dong-Mu's Theory of Nature and Emotion (동무(東武) 성정론(性情論) 재고(再考))

  • Lee, Jun-Hee;Lee, Eui-Ju;Koh, Byung-Hee
    • Journal of Sasang Constitutional Medicine
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    • v.21 no.2
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    • pp.11-26
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    • 2009
  • 1. Objectives : This research was purposed to reconsider the Dong-Mu's Theory of Nature and Mind(生情論). 2. Methods : The Dong-Mu's interpretation on the first chapter of "The Doctrine of Mean(中庸)", and the related contents of Nature and Emotion(性情) in his literature such as "Gyukchigo(格致藁)", "Donguisusebowon-Sasang chobongyun(東醫壽世保元四象草本卷)" and "Donguisusebowon(東醫壽世保元)" were reviewed. 3. Results and Conclusions : 1. Dong-Mu reinterpreted the concepts about 'Providence(天命) and Human Nature(人性)', 'Not-yet-intentional state(未發) and Intentional state(已發)', 'Nature and Mind(性情)' and 'Equilibrium and Harmony(中和)' in "The Doctrine of Mean", and used these concepts as logical tools in explanation of his thoughts of Human being and medical theory. 2. The generating principle of Nature and Mind(性情) presented as sorrow, anger, joy and pleasure is 'the Principle of Human nature(性理)', which is embodied as 'the Principle of Organ(臟理)' in "Donguisusebowon". The Principle of Organ(臟理) is originated from Heart and lie at lung, spleen, liver and kidney as the form of Four Virtue(四德). 3. The Principle of Organ(臟理) has the position of superintendence and is the generating principle of Nature and Emotion(性情), by which the structural and functional variations between different constitutional types are formed. 4. Dong-Mu's newly established concept of Nature and Emotion(性情) is the core logic in his idea of physiology, pathology and self-cultivation.

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Study on Practical Use and Historical Development of Dongssi' Acupuncture Therapy (동씨침법(董氏鍼法)의 의의(意義)와 임상적(臨床的) 응용(應用))

  • Park Yu-Ri;Kang Byaech-Gyu;Kim Ho-Gyeom;Byeon Ji-Hwan;Song Jeong-Ho;Jeong Jong-Ryul;Jang Jin-Yo;Hwang Jae-Ho;Cho Myeong-Su;Kim Kyung-Sik;Sohn In-Chul
    • Korean Journal of Acupuncture
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    • v.19 no.2
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    • pp.119-131
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    • 2002
  • In this paper, we studied Dongssi' acupuncture therapy via the consideration of development process of Oriental medicine in history. We investigated the distribution chart and naming of Dongssi' acupuncture point in human body, artificial selection principle of Dongssi' acupuncture point to therapy (選穴原則) on the various diseases, the therapy of pyo-bon (標本理論) and the therapy of Geun-Gyeal (根結理論) and compared GeoZa-principle (巨刺法) and MuZa-principle (繆刺法) with artificial selection principle of Dongssi' acupuncture point. And we also studied the acupuncture therapy of DongGi (動氣鍼法), DoMa (倒馬鍼法) and SaeIn (索引鍼法), which is the unique principle in Dongssi' acupuncture theraphy, to consider with the other Oriental medicine theory which is the theory of ZangSang (臟象學說) and BiWi (脾胃學說) etc. Our desire in this study is the giving aid to treatment diseases with the acupuncture therapy in Oriental medicine.

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Bending behavior of laminated composite plates using the refined four-variable theory and the finite element method

  • Bouazza, Mokhtar;Becheri, Tawfiq;Boucheta, Abderrahmane;Benseddiq, Noureddine
    • Earthquakes and Structures
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    • v.17 no.3
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    • pp.257-270
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    • 2019
  • The purpose of this work is to analyze the bending behavior of laminated composite plates using the refined fourvariable theory and the finite element method approach using an ANSYS 12 computational code. The analytical model is based on the multilayer plate theory of shear deformation of the nth-order proposed by Xiang et al 2011 using the theory principle developed by Shimpi and Patel 2006. Unlike other theories, the number of unknown functions in the present theory is only four, while five or more in the case of other theories of shear deformation. The formulation of the present theory is based on the principle of virtual works, it has a strong similarity with the classical theory of plates in many aspects, it does not require shear correction factor and gives a parabolic description of the shear stress across the thickness while filling the condition of zero shear stress on the free edges. The analysis is validated by comparing results with those in the literature.

Thermal vibration analysis of FGM beams using an efficient shear deformation beam theory

  • Safa, Abdelkader;Hadji, Lazreg;Bourada, Mohamed;Zouatnia, Nafissa
    • Earthquakes and Structures
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    • v.17 no.3
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    • pp.329-336
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    • 2019
  • An efficient shear deformation beam theory is developed for thermo-elastic vibration of FGM beams. The theory accounts for parabolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the on the surfaces of the beam without using shear correction factors. The material properties of the FGM beam are assumed to be temperature dependent, and change gradually in the thickness direction. Three cases of temperature distribution in the form of uniformity, linearity, and nonlinearity are considered through the beam thickness. Based on the present refined beam theory, the equations of motion are derived from Hamilton's principle. The closed-form solutions of functionally graded beams are obtained using Navier solution. Numerical results are presented to investigate the effects of temperature distributions, material parameters, thermal moments and slenderness ratios on the natural frequencies. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions.

Analytical modeling of bending and free vibration of thick advanced composite beams resting on Winkler-Pasternak elastic foundation

  • Chami, Khaldoune;Messafer, Tahar;Hadji, Lazreg
    • Earthquakes and Structures
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    • v.19 no.2
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    • pp.91-101
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    • 2020
  • This work presents an efficient and original hyperbolic shear deformation theory for the bending and dynamic behavior of functionally graded (FG) beams resting on Winkler - Pasternak foundations. The theory accounts for hyperbolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the beam without using shear correction factors. Based on the present theory, the equations of motion are derived from Hamilton's principle. Navier type analytical solutions are obtained for the bending and vibration problems. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions. It can be concluded that the present theory is not only accurate but also simple in predicting the bending and vibration behavior of functionally graded beams.