• Title/Summary/Keyword: fundamental formulation theory

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Numerical solution of beam equation using neural networks and evolutionary optimization tools

  • Babaei, Mehdi;Atasoy, Arman;Hajirasouliha, Iman;Mollaei, Somayeh;Jalilkhani, Maysam
    • Advances in Computational Design
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    • v.7 no.1
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    • pp.1-17
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    • 2022
  • In this study, a new strategy is presented to transmit the fundamental elastic beam problem into the modern optimization platform and solve it by using artificial intelligence (AI) tools. As a practical example, deflection of Euler-Bernoulli beam is mathematically formulated by 2nd-order ordinary differential equations (ODEs) in accordance to the classical beam theory. This fundamental engineer problem is then transmitted from classic formulation to its artificial-intelligence presentation where the behavior of the beam is simulated by using neural networks (NNs). The supervised training strategy is employed in the developed NNs implemented in the heuristic optimization algorithms as the fitness function. Different evolutionary optimization tools such as genetic algorithm (GA) and particle swarm optimization (PSO) are used to solve this non-linear optimization problem. The step-by-step procedure of the proposed method is presented in the form of a practical flowchart. The results indicate that the proposed method of using AI toolsin solving beam ODEs can efficiently lead to accurate solutions with low computational costs, and should prove useful to solve more complex practical applications.

Scientific Analysis of Formulation Theory of Chungpesagan-tang; The purgative Action of Chungpesagan-tang

  • Jeon, Young-Wan;Bae, Hyung-Sup;Joh, Ki-Ho;Kim, Young-Suk;Lee, Kyung-Sup;Park, Eun-Kyung;Kim, Dong-Hyun
    • Natural Product Sciences
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    • v.5 no.4
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    • pp.186-189
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    • 1999
  • To analyze scientifically the fundamental formulation theory and drug interaction on the purgative action of Chungpesagan-tang, which is one of the traditional Korean medical prescriptions that has been most frequently used for stroke, water extracts of herbal medicines with Rhei Rhizoma were administered into mice and the purgative action was measured. Water extracts of Raphani Semen or Cimicifugae Rhizoma with Rhei Rhizoma had more potent purgative activity than Rhei Rhizoma alone, although Raphani Semen alone displayed no purgative action. However, Platycodi Radix and Puerariae Radix inhibited the purgative action of Rhei Rhizoma. When Rhei Rhizoma with Raphani Semen or Cimicifugae Radix was extracted with water, sennoside A content in the water extract was increased. However, Puerariae Radix and Platycodi Radix decreased the content of sennoside A in the extracted water. The transforming rate of sennoside A of Rhei Rhizoma was inhibited by Puerariae Radix and Platycodi Radix. The transforming rate of sennoside A of Chungpesagan-tang to rheinan-throne by human intestinal microflora and its purgative activity were similar to those of Rhei Rhizoma. Finally we thought that the purgative action of Chungpesagan-tang could be controlled by the addition and subtraction of Chungpesagan-tang-composing herbal medicines.

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Pareto optimum design of laminated composite truncated circular conical shells

  • Topal, Umut
    • Steel and Composite Structures
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    • v.14 no.4
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    • pp.397-408
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    • 2013
  • This paper deals with multiobjective optimization of symmetrically laminated composite truncated circular conical shells subjected to external uniform pressure load and thermal load. The design objective is the maximization of the weighted sum of the critical buckling load and fundamental frequency. The design variable is the fibre orientations in the layers. The performance index is formulated as the weighted sum of individual objectives in order to obtain optimal solutions of the design problem. The first-order shear deformation theory (FSDT) is used in the mathematical formulation of laminated truncated conical shells. Finally, the effect of different weighting factors, length-to-radius ratio, semi-cone angle and boundary conditions on the optimal design is investigated and the results are compared.

Multiobjective optimum design of laminated composite annular sector plates

  • Topal, Umut
    • Steel and Composite Structures
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    • v.14 no.2
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    • pp.121-132
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    • 2013
  • This paper deals with multiobjective optimization of symmetrically laminated composite angle-ply annular sector plates subjected to axial uniform pressure load and thermal load. The design objective is the maximization of the weighted sum of the critical buckling load and fundamental frequency. The design variable is the fibre orientations in the layers. The performance index is formulated as the weighted sum of individual objectives in order to obtain the optimum solutions of the design problem. The first-order shear deformation theory is used for the mathematical formulation. Finally, the effects of different weighting factors, annularity, sector angle and boundary conditions on the optimal design are investigated and the results are compared.

On the Accuracy of Calculation in the Analysis of Natural Transverse Vibrations of a Ship's Hull (선체고유횡진동해석(船體固有橫振動解析)에 있어서의 계산정도(計算精度))

  • K.C.,Kim;H.S.,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.13 no.1
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    • pp.1-9
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    • 1976
  • Using the computer programs for calculation of natural vibrations of ship's hull developed by the authors et al., an investigation into influences of various parameters on the accuracy of calculation was done through example calculations of a 30,000 DWT petroleum products carrier M/S Sweet Brier built by Korea Shipbuilding and Engineering Corporation. The methodical principles employed for the computer program development are as follows; (a) the ship system is reduced to an equivalent discrete elements system conforming to Myklestad-Prohl model, (b) the problem formulation is of transfer matrix method, and (c) to obtain solutions an extended $G\ddot{u}mbel's$ initial value method is introduced. The scope of the investigation is influences of number of discrete elements, choice of significant system parameters such as rotary inertia, bending stiffness and shear stiffness, and simplification of distributions of added mass and stiffness as trapezoidal ones referred to those of midship section on the calculation accuracy. From the investigation the followings are found out; (1) To obtain good results for the modes up to the seven-noded thirty or more divisions of the hull is desirable. For fundamental mode fifteen divisions may give fairly good results. (2) The influence of rotary inertia is negligibly small at least for the modes up to the 5- or 6- noded. (3) In the case of assuming either bending modes or shear modes the calculation results in considerably higher frequencies as compared with those based on Timoshenko beam theory. However, the calculation base on the slender beam theory surprisingly gives frequencies within 10% error for fundamental modes. (4) It is proved that to simplify distributions of added mass and stiffness as trapezoidal ones referred to those of midship section is a promising approach for the prediction of natural frequencies at preliminary design stage; provided good accumulation of data from similar type ships, we may expect to obtain natural frequencies within 5% error.

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A simple quasi-3D HSDT for the dynamics analysis of FG thick plate on elastic foundation

  • Boukhlif, Zoulikha;Bouremana, Mohammed;Bourada, Fouad;Bousahla, Abdelmoumen Anis;Bourada, Mohamed;Tounsi, Abdelouahed;Al-Osta, Mohammed A.
    • Steel and Composite Structures
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    • v.31 no.5
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    • pp.503-516
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    • 2019
  • This work presents a dynamic investigation of functionally graded (FG) plates resting on elastic foundation using a simple quasi-3D higher shear deformation theory (quasi-3D HSDT) in which the stretching effect is considered. The culmination of this theory is that in addition to taking into account the effect of thickness extension (${\varepsilon}_z{\neq}0$), the kinematic is defined with only 4 unknowns, which is even lower than the first order shear deformation theory (FSDT). The elastic foundation is included in the formulation using the Pasternak mathematical model. The governing equations are deduced through the Hamilton's principle. These equations are then solved via closed-type solutions of the Navier type. The fundamental frequencies are predicted by solving the eigenvalue problem. The degree of accuracy of present solutions can be shown by comparing it to the 3D solution and other closed-form solutions available in the literature.

Dynamic characterization of a CNT reinforced hybrid uniform and non-uniform composite plates

  • Lakshmipathi, Jakkamputi;Vasudevan, Rajamohan
    • Steel and Composite Structures
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    • v.30 no.1
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    • pp.31-46
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    • 2019
  • In the present study, the various dynamic properties of MWCNT embedded fiber reinforced polymer uniform and tapered composite (MWCNT-FRP) plates are investigated. Various configurations of a tapered composite plate with ply-drop off and uniform composite plate have been considered for the development of the finite element formulation and experimental investigations. First order shear deformation theory (FSDT) has been used to derive the kinetic and potential energy equations of the hybrid composite plates by including the effect of rotary inertia, shear deformation and non-uniformity in thickness of the plate. The governing equations of motion of FRP composite plates without and with MWCNT reinforcement are derived by considering a nine- node rectangular element with five degrees of freedom (DOF) at each node. The effectiveness of the developed finite element formulation has been demonstrated by comparing the natural frequencies and damping ratio of FRP composite plates without and with MWCNT reinforcement obtained experimentally. Various parametric studies are also performed to study the effect of CNT volume fraction and CNT aspect ratio of the composite plate on the natural frequencies of different configurations of CNT reinforced hybrid composite plates. Further the forced vibration analysis is performed to compare the dynamic response of the various configurations of MWCNT-GFRP composite plate with GFRP composite plate under harmonic excitations. It was observed that the fundamental natural frequency and damping ratio of the GFRP composite plate increase approximately 8% and 37% respectively with 0.5wt% reinforcement of MWCNT under CFCF boundary condition. The natural frequencies of MWCNT-GFRP hybrid composite plates tend to decrease with the increase of MWCNT volume fraction beyond 2% due to agglomeration of CNT's. It is also observed that the aspect ratio of the CNT has negligible effect on the improvement of dynamics properties due to randomly orientation of CNT's.

Trends in System-level Research on Quality Control of Complex Herbal Formulation (복합 처방 품질 관리를 위한 시스템 차원의 연구 동향)

  • Lee, Doo Suk;Kim, Young Woo
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.30 no.6
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    • pp.397-401
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    • 2016
  • The quality control is a fundamental procedure for the standardization of herbal medicine to guarantee the consistency of efficacy and safety. For a long time, the quality analysis of herbal medicine has been largely dependent on the routine sensory evaluation, such as taste, smell, color, and shape. However, with the recent development of analytical instruments, various scientific approaches have been introduced in this field. On the basis of the theory that the biological activities of herbal medicine are mainly contributed by its chemical compositions, several types of chemical markers have been suggested for the quality evaluation. In addition to the analytical methods for the specific marker compound(s), including analytical marker and active marker, recently, chemical fingerprinting, a method comparing the chromatographic pattern of the whole chemical components, has been developed and widely accepted as a reliable approach for the quality control of herbal medicine. Moreover, in order to exactly understand the relationship between complex compounds and their holistic biological activities in herbal medicine, unique strategies, such as "BECCs (bioactive equivalent combinatorial components)" and "PhytomicsQC" have been established. In this article, we give an overview of the several categories of chemical markers and the recent research trends for the quality evaluation of herbal medicine.

The G. D. Q. method for the harmonic dynamic analysis of rotational shell structural elements

  • Viola, Erasmo;Artioli, Edoardo
    • Structural Engineering and Mechanics
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    • v.17 no.6
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    • pp.789-817
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    • 2004
  • This paper deals with the modal analysis of rotational shell structures by means of the numerical solution technique known as the Generalized Differential Quadrature (G. D. Q.) method. The treatment is conducted within the Reissner first order shear deformation theory (F. S. D. T.) for linearly elastic isotropic shells. Starting from a non-linear formulation, the compatibility equations via Principle of Virtual Works are obtained, for the general shell structure, given the internal equilibrium equations in terms of stress resultants and couples. These equations are subsequently linearized and specialized for the rotational geometry, expanding all problem variables in a partial Fourier series, with respect to the longitudinal coordinate. The procedure leads to the fundamental system of dynamic equilibrium equations in terms of the reference surface kinematic harmonic components. Finally, a one-dimensional problem, by means of a set of five ordinary differential equations, in which the only spatial coordinate appearing is the one along meridians, is obtained. This can be conveniently solved using an appropriate G. D. Q. method in meridional direction, yielding accurate results with an extremely low computational cost and not using the so-called "delta-point" technique.

Relationship between Firm Efficiency and Stock Price Performance (기업의 운영 효율성과 주식 수익률 성과와의 관계)

  • Lim, Sungmook
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.41 no.4
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    • pp.81-90
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    • 2018
  • Modern investment theory has empirically proved that stock returns can be explained by several factors such as market risk, firm size, and book-to-market ratio. Other unknown factors affecting stock returns are also believed to still exist yet to be found. We believe that one of such factors is the operational efficiency of firms in transforming inputs to outputs, considering the fact that operations is a fundamental and primary function of any type of businesses. To support this belief, this study intends to empirically study the relationship between firm efficiency and stock price performance. Firm efficiency is measured using data envelopment analysis (DEA) with inputs and outputs obtained from financial statements. We employ cross-efficiency evaluation to enhance the discrimination power of DEA with a secondary objective function of aggressive formulation. Using the CAPM-based performance regression model, we test the performance of equally weighted portfolios of different sizes selected based upon DEA cross-efficiency scores along with a buy & hold trading strategy. For the empirical test, we collect financial data of domestic firms listed in KOSPI over the period of 2000~2016 from well-known financial databases. As a result, we find that the porfolios with highly efficient firms included outperform the benchmark market portfolio after controlling for the market risk, which indicates that firm efficiency plays a important role in explaining stock returns.