• Title/Summary/Keyword: General Equilibrium Theory

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A Study on the Bending Buckling Behavior of Circular Cylindrical Shells (원통형 쉘의 휨 좌굴 거동에 대한 연구)

  • 정진환;김성도;하지명
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.208-215
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    • 1998
  • A stability problems of isotropic shells under pure bending is investigated based on the classical shells theory. The governing equations of stability problem presented by Donnell and Love, are developed and the solutions for the cylindrical shells are obtained by using Galerkin method. Bending moment is applied at the ends of the cylindrical shell as a from of distributed load in the shape of sine curve. For the isotropic materials, the result of the general purpose structural analysis program based on the finite element method are compared with the critical moment obtained from the classical shell theories. The critical loads for the cylindrical shells with various geometry can not be evaluated with a simple equation. However, accurate solutions for the stability problems of cylindrical shells can be obtained through the equilibrium equation developed in the study.

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An Effective Quasi-static Modeling of the Piezoelectric Benders (압전 벤더의 효과적인 모델링 기법)

  • Park, Jong-Kyu;Moon, Won-Kyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.2
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    • pp.133-142
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    • 2004
  • In this article, the constitutive relations of three types of piezoelectric benders, which are a unimorph bender, a bimorph bender and a triple-layer bender, are derived based on the beam theory under the quasi-static equilibrium condition. The relation coefficients are described as the geometry and material properties of the benders. More general constitutive relations involving fixed-free, fixed-roll, and fixed-simply supported boundary conditions under the inconsistent length condition between the piezoelectric layer and the nonpiezoelectric one are discussed. The complicated constitutive relations can be easily calculated and checked by using the symbolic function in ‘Mathematica’. The relation coefficients for the benders are plotted in three dimensional graph using the developed program.

Determination of Reactivity by MO Theory (ⅩⅧ). An Intermolecular Perturbation Study of the Acid-Catalyzed Hydrolysis of Diformamide$^*$

  • Kwun, Oh-Cheun
    • Bulletin of the Korean Chemical Society
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    • v.1 no.3
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    • pp.109-112
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    • 1980
  • Ultraviolet spectrophotometric investigations were carried out on monoalkylbenzene-iodine systems in carbon tetrachloride. The results reveal the formation of one-to-one molecular complexes. On the basis of the equilibrium constants for these complexes of representative monosubstituted benzenes, the following order of increasing stability is obtained: i-propyl- ${\Delta}$H, ${\Delta}$G and ${\Delta}$S for the interaction of a number of monoalkyl substituted benzenes with iodine have been determined. In general, it can be said that as ${\Delta}$H becomes increasingly negative, corresponding decreases in the ${\Delta}$G and the ${\Delta}$S values are observed, and these variations are linear. The thermodynamic constants become increasingly negative with increasing monoalkyl substitution of the aromatic donor nucleus. The complex bond is therefore weak, and its formation is accompanied by relatively small entropy changes. Thus, analysis of these findings is discussed.

A Statistical Thermodynamic Study on the Conformational Transition of Oligopeptide Multimer

  • Kim, Yong Gu;Park, Hyeong Seok
    • Bulletin of the Korean Chemical Society
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    • v.17 no.2
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    • pp.131-138
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    • 1996
  • The conformational transition of oligopeptide multimer,-(HPPHPPP)n-, is studied (H:hydrophobic amino acid, P:hydrophilic amino acid). The helix/coil transitions are detected in the multimer. The transition depends on the number of amino acid in the sequence, the concentration of the oligopeptide, and temperature which affects helix stability constant (${\xi}$) and hydrophobic interaction parameter (wj). In the thermodynamic equilibrium system jA${\rightarrow}$Aj (where A stands for oligopeptide monomer), Skolnick et al., explained helix/coil transition of dimer by the matrix method using Zimm-Bragg parameters ${\xi}$ and $\sigma$ (helix initiation constant). But the matrix method do not fully explain dangling H-bond effects which are important in oligopeptide systems. In this study we propose a general theory of conformational transitions of oligopeptides in which dimer, trimer, or higher multimer coexists. The partition of trimer is derived by using zipper model which account for dangling H-bond effects. The transitions of multimers which have cross-linked S-S bonds or long chains do not occur, because they keep always helical structures. The transitions due to the concentration of the oligopeptides are steeper than those due to the chain length or temperature.

Impact of thermal effects in FRP-RC hybrid cantilever beams

  • Tahar, Hassaine Daouadji;Abderezak, Rabahi;Rabia, Benferhat;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • v.78 no.5
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    • pp.573-583
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    • 2021
  • This paper presents a theoretical approach of the structures reinforced with bonded FRP composites, taking into account loading model, shear lag effect and the thermal effect. These composites are used, in particular, for rehabilitation of structures by stopping the propagation of the cracks. They improve rigidity and resistance, and prolong their lifespan. In this paper, an original model is presented to predict and to determine the stresses concentration at the FRP end, with the new theory analysis approach. The model is based on equilibrium and deformations compatibility requirements in and all parts of the strengthened beam, i.e., the concrete beam, the FRP plate and the adhesive layer. The theoretical predictions are compared with other existing solutions. The numerical resolution was finalized by taking into account the physical and geometric properties of materials that may play an important role in reducing the stress values. This solution is general in nature and may be applicable to all kinds of materials.

The role of micromechanical models in the mechanical response of elastic foundation FG sandwich thick beams

  • Yahiaoui, Mohammed;Tounsi, Abdelouahed;Fahsi, Bouazza;Bouiadjra, Rabbab Bachir;Benyoucef, Samir
    • Structural Engineering and Mechanics
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    • v.68 no.1
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    • pp.53-66
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    • 2018
  • This paper presents an analysis of the bending, buckling and free vibration of functionally graded sandwich beams resting on elastic foundation by using a refined quasi-3D theory in which both shear deformation and thickness stretching effects are included. The displacement field contains only three unknowns, which is less than the number of parameters of many other shear deformation theories. In order to homogenize the micromechanical properties of the FGM sandwich beam, the material properties are derived on the basis of several micromechanical models such as Tamura, Voigt, Reuss and many others. The principle of virtual works is used to obtain the equilibrium equations. The elastic foundation is modeled using the Pasternak mathematical model. The governing equations are obtained through the Hamilton's principle and then are solved via Navier solution for the simply supported beam. The accuracy of the proposed theory can be noticed by comparing it with other 3D solution available in the literature. A detailed parametric study is presented to show the influence of the micromechanical models on the general behavior of FG sandwich beams on elastic foundation.

Analysis of Congestion Tolls Using the Land Use-Transportation Model When Toll Revenues Are Recycled (세수 재순환과 토지이용-교통모형을 이용한 혼잡통행료 분석방법론)

  • Rhee, Hyok-Joo
    • Journal of Korean Society of Transportation
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    • v.32 no.4
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    • pp.357-368
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    • 2014
  • So far, land use-transportation models have been used exclusively for numerical analysis. A recent theoretical endeavor now enables us to derive the first-order derivative of the model's welfare function with respect to policy variables. I extend this methodology into the institutional setting where toll revenues are recycled through labor income tax. In this setting, the first-order derivative is composed of (1) the increase in welfare due to reduced congestion, and (2) the decrease in welfare due to interaction with the existing labor income tax. This result coincides with existing theory in the non-spatial model.

Comparing the Performance of One-column Process and Four-zone Simulated Moving Bed by Computer Simulation

  • Kim Young Sik;Lee Chong Ho;Wankat Phillip C.;Koon Yoon Mo
    • Biotechnology and Bioprocess Engineering:BBE
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    • v.9 no.5
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    • pp.362-368
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    • 2004
  • A new one-column chromatography process, analogous to a four-zone simulated moving bed (SMB), was presented. The basic principle of the process was identical to that of a four-zone SMB. The process consisted of one chromatographic column and four tanks, instead of the four columns in the four-zone SMB (1-1-1-1), and has been used for the separation of two amino acids, phenylalanine and tryptophan, using an ion exchange resin. The operating parameters for the one-column process and four-zone SMB were obtained from equilibrium theory. Computer simulations were used to compare the performances of the new one column process to that of the general four-zone SMB, using Aspen $Chromatography^{TM}$ v 11.1. The differences between the one-column and SMB processes in terms of the purities and yields of phenylalanine and tryptophan were less than 4 and about $6\%$, respectively. The lower purities of the one-column process were due to the loss of the developed concentration profiles in the column when the liquid was stored in tanks. The one-column process gave great flexibility, and would be useful for reconstructing an existing conventional chromatography process to one of a SMB.

System Thinking Analysis on The Organizational Entropic Measures: Focusing on Workers' Speedy Compensation (조직의 엔트로피식 처방에 대한 시스템 사고 분석: 산업재해 신속보상을 중심으로)

  • Yang, Jeong-Ho
    • Korean System Dynamics Review
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    • v.14 no.4
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    • pp.63-89
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    • 2013
  • The purpose of this paper is to explain the entropic measures could cause the organization to increase the entropy. The organization as an open system has a tendency to input new energy to adapt itself to the change in its surroundings. This intention of inputting energy into organization is based on the second law of thermodynamics, the laws of entropy.Entropy is a measure of disorder, or a measure of progressing towards thermodynamic equilibrium. The entropy of an isolated system increases. Organizations have to open to their environment, have to do something to reduce their entropy. But, this attempt to reduce entropy entails another entropy. This study shows the side effects by giving examples of illegal receipt of worker's compensation insurance. The implications through the cases of illegal receipt of workers' compensation are as follows. Firstly, organizational policy is that inaction in itself may be the best policy, unless we always think the action best. Secondly, public organization should be careful in substituting business management in the private sector such as customer satisfaction(CS) for the value in public sector. Thirdly, the setting the expiration date of organizational policy could be the way to slow down the degree of entropy.

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The Rubber Pricing Model: Theory and Evidence

  • SRISUKSAI, Pithak
    • The Journal of Asian Finance, Economics and Business
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    • v.7 no.11
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    • pp.13-22
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    • 2020
  • This research explores the appropriate rubber pricing model and the consistent empirical evidence. This model has been derived from the utility function and firm profit-maximization model of commodity goods. The finding shows that the period t - 1 affects expected commodity price and expected profit of commodity production. In fact, a change in the world price of rubber in the past period led to a change in the expected price of rubber in the short run which influenced the expected rubber profit. As a result, the past-period free on board price has an entirety effect on expected farm price of rubber given an exchange rate. In addition, the rubber pricing model indicates that the profit of local farmer on rubber plant depends solely on the world price of rubber in the short run in case of Thailand. In an empirical study, it was found that a change in the price of ribbed smoke sheet 3 in Singapore Commodity Exchange significantly and positively determined the fluctuation of rubber price at the farm gate in Thailand which was consistent with the behavior of the Thai farmers. Both prices are also cointegrated in the long run. That is, the result states that the VECM is an appropriated pricing model for forecasting the farm price in Thailand.