• Title/Summary/Keyword: minimum principle

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Mechanical and thermal stability investigation of functionally graded plates resting on visco-Pasternak foundation

  • Samira Hassiba Tagrara;Mohamed Mehdi hamri;Mahmoud Mohamed Selim Saleh;Mofareh Hassan Ghazwani;Abdelbaki Chikh;Abdelmoumen Anis Bousahla;Abdelhakim Kaci;Fouad Bourada;Abdelouahed Tounsi
    • Steel and Composite Structures
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    • v.46 no.6
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    • pp.839-856
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    • 2023
  • This work presents a simple four-unknown refined integral plate theory for mechanical and thermal buckling behaviors of functionally graded (FG) plates resting on Visco-Pasternak foundations. The proposed refined high order shear deformation theory has a new displacement field which includes indeterminate integral variables and contains only four unknowns in which any shear correction factor not used, with even less than the conventional theory of first shear strain (FSDT). Governing equations are deduced from the principle of minimum total potential energy and a Navier type analytical solution is adopted for simply supported FG plates. The Visco-Pasternak foundations is considered by adding the impact of damping to the usual foundation model which characterized by the linear Winkler's modulus and Pasternak's foundation modulus. The accuracy of the present model is demonstrated by comparing the computed results with those available in the literature. Some numerical results are presented to show the impact of material index, elastic foundation type, and damping coefficient of the foundation, on the mechanical and thermal buckling behaviors of FG plates.

Combined influence of variable distribution models and boundary conditions on the thermodynamic behavior of FG sandwich plates lying on various elastic foundations

  • Djamel Eddine Lafi;Abdelhakim Bouhadra;Belgacem Mamen;Abderahmane Menasria;Mohamed Bourada;Abdelmoumen Anis Bousahla;Fouad Bourada;Abdelouahed Tounsi;Abdeldjebbar Tounsi;Murat Yaylaci
    • Structural Engineering and Mechanics
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    • v.89 no.2
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    • pp.103-119
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    • 2024
  • The present research investigates the thermodynamically bending behavior of FG sandwich plates, laying on the Winkler/Pasternak/Kerr foundation with various boundary conditions, subjected to harmonic thermal load varying through thickness. The supposed FG sandwich plate has three layers with a ceramic core. The constituents' volume fractions of the lower and upper faces vary gradually in the direction of the FG sandwich plate thickness. This variation is performed according to various models: a Power law, Trigonometric, Viola-Tornabene, and the Exponential model, while the core is constantly homogeneous. The displacement field considered in the current work contains integral terms and fewer unknowns than other theories in the literature. The corresponding equations of motion are derived based on Hamilton's principle. The impact of the distribution model, scheme, aspect ratio, side-to-thickness ratio, boundary conditions, and elastic foundations on thermodynamic bending are examined in this study. The deflections obtained for the sandwich plate without elastic foundations have the lowest values for all boundary conditions. In addition, the minimum deflection values are obtained for the exponential volume fraction law model. The sandwich plate's non-dimensional deflection increases as the aspect ratio increases for all distribution models.

Curved finite strip and experimental study of thin stiffened composite cylindrical shells under axial compression

  • Mojtaba Rafiee;Hossein Amoushahi;Mehrdad Hejazi
    • Structural Engineering and Mechanics
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    • v.89 no.2
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    • pp.181-197
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    • 2024
  • A numerical method is presented in this paper, for buckling analysis of thin arbitrary stiffened composite cylindrical shells under axial compression. The stiffeners can be placed inside and outside of the shell. The shell and stiffeners are operated as discrete elements, and their interactions are taking place through the compatibility conditions along their intersecting lines. The governing equations of motion are obtained based on Koiter's theory and solved by utilizing the principle of the minimum potential energy. Then, the buckling load coefficient and the critical buckling load are computed by solving characteristic equations. In this formulation, the elastic and geometric stiffness matrices of a single curved strip of the shell and stiffeners can be located anywhere within the shell element and in any direction are provided. Moreover, five stiffened composite shell specimens are made and tested under axial compression loading. The reliability of the presented method is validated by comparing its numerical results with those of commercial software, experiments, and other published numerical results. In addition, by using the ANSYS code, a 3-D finite element model that takes the exact geometric arrangement and the properties of the stiffeners and the shell into consideration is built. Finally, the effects of Poisson's ratio, shell length-to-radius ratio, shell thickness, cross-sectional area, angle, eccentricity, torsional stiffness, numbers and geometric configuration of stiffeners on the buckling of stiffened composite shells with various end conditions are computed. The results gained can be used as a meaningful benchmark for researchers to validate their analytical and numerical methods.

Thermal post-buckling measurement of the advanced nanocomposites reinforced concrete systems via both mathematical modeling and machine learning algorithm

  • Minggui Zhou;Gongxing Yan;Danping Hu;Haitham A. Mahmoud
    • Advances in nano research
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    • v.16 no.6
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    • pp.623-638
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    • 2024
  • This study investigates the thermal post-buckling behavior of concrete eccentric annular sector plates reinforced with graphene oxide powders (GOPs). Employing the minimum total potential energy principle, the plates' stability and response under thermal loads are analyzed. The Haber-Schaim foundation model is utilized to account for the support conditions, while the transform differential quadrature method (TDQM) is applied to solve the governing differential equations efficiently. The integration of GOPs significantly enhances the mechanical properties and stability of the plates, making them suitable for advanced engineering applications. Numerical results demonstrate the critical thermal loads and post-buckling paths, providing valuable insights into the design and optimization of such reinforced structures. This study presents a machine learning algorithm designed to predict complex engineering phenomena using datasets derived from presented mathematical modeling. By leveraging advanced data analytics and machine learning techniques, the algorithm effectively captures and learns intricate patterns from the mathematical models, providing accurate and efficient predictions. The methodology involves generating comprehensive datasets from mathematical simulations, which are then used to train the machine learning model. The trained model is capable of predicting various engineering outcomes, such as stress, strain, and thermal responses, with high precision. This approach significantly reduces the computational time and resources required for traditional simulations, enabling rapid and reliable analysis. This comprehensive approach offers a robust framework for predicting the thermal post-buckling behavior of reinforced concrete plates, contributing to the development of resilient and efficient structural components in civil engineering.

Research on the Legal Composition and Institutional Systems of The Dao Constitution: Focusing on The Constitution of the Republic of Korea (『도헌』의 법률적 구성과 제도적 장치 연구 - 대한민국헌법을 중심으로 -)

  • Kim, Young-jin
    • Journal of the Daesoon Academy of Sciences
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    • v.40
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    • pp.77-114
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    • 2022
  • The purpose of this study is to analyze the ideological background, legal composition, and separation of powers contained within the institutional devices of The Dao Constitution based on the basic principles of the legal system, which would be embodied in The Constitution of the Republic of Korea. The ideological background of The Dao Constitution is that of the religion, Daesoon Jinrihoe. In Daesoon Jinrihoe, it is held that the Supreme God, Sangje, determined that Mutual Contention, the ruling pattern of the Former World, ran contrary to His divine will and this endangered the world as nature and humans had also fallen into Mutual Contention. As an act of divine intervention, Sangje established Mutual Beneficence so that nature and humanity could follow Mutual Beneficence as a paradigm shift culminating in a Great Opening of the universe. Sangje, the agent behind the paradigm shift, revealed His divine will that humans transform into mutually beneficent humans. Therefore, The Dao Constitution was written to be a set of fundamental norms based on the 'rights and obligations of the members of Daesoon Jinrihoe' to accept and implement the will of Sangje as it applies to each member's mission. The legal composition of The Dao Constitution consists of the body and supplementary provisions. The text consists of general rules, moral rights and obligations, origins, and institutional devices. Institutional devices include the Central Council, the Institute of Propagation and Edition, the Institute of Religious Services, Works, Financial Management, and the Institute of Audit and Inspection. The legal composition of The Dao Constitution is similar to that of the Constitution. The difference is that while the Constitution applies a 'principle of maximum rights and minimum obligations,' The Dao Constitution stipulates more obligations than rights in order to complete the mission of the members. The principle of separation of powers is applied to the institutional devices in The Dao Constitution. In The Dao Constitution, the organizational form of the central headquarters has been divided into a 'before and after' scheme surrounding the death of Dojeon. The organizational form of the central headquarters prior to Dojeon's death was similar to a Constitutional Monarchy. After the death of Dojeon, the central headquarters' organizational form became similar to a parliamentary cabinet system. The separation of powers at central headquarters is divided among a legislative power (the Central Council), an executive power (the Institute of Religious Services), and a judicial power (the Institute of Audit and Inspection). The separation of powers within the functions of the central government first occurs between the Central Council and its employees, then between the Central Council and the Institute of Auditing and Inspection, and also between the Legislative Government and the Institute of Religious Services. Furthermore, the principle of a vertical separation of powers exists between the central headquarters and the local organization.

Reflecting on the Dilemma of Compulsory Spiritual Education in Public Education (공교육 내 영성교육의 의무화와 딜레마)

  • Ko Byoung-chul
    • Journal of the Daesoon Academy of Sciences
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    • v.45
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    • pp.69-102
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    • 2023
  • There has been a growing demand for spiritual education in public education in recent years. In fact, the concept of spirituality was included in the national religious curriculum in 2022. However, compulsory spiritual education based on the national curriculum is different from individual or private organization-based spiritual education which can be characterized as voluntary. This article aims to discuss the potential problems that may arise when making spiritual education compulsory in public education. This discussion includes the expansion of spiritual discourse and the scope of spirituality, the contents and examples of spiritual education, and the implications of compulsory spiritual education. My perspective on this topic is that the religious curriculum, being a national curriculum, should be applicable to all schools and learners. The channels for expanding spiritual discourse include studies for measuring each individual's spirituality or religiosity and spiritual tourism. Both exclusive and inclusive spirituality coexist within spiritual discourse. Furthermore, spiritual educators criticize knowledge-based education for its tendency towards romanticization, while overlooking reflective education in national religious curriculum. Additionally, the normative nature inherent in the concept of spirituality is often overlooked, despite the potential recurrence of problems seen in faith-based education. This article suggested that the minimum principle for the nation's religious curriculum should be that "religious or normative knowledge is not to be injected or delivered but rather reflected upon." This principle aims to provide an opportunity for learners to reflect on their religious experiences or lives subjectively. When this principle is applied, spirituality becomes the object of reflection and selection for learners. Above all, learners with reflective thinking skills will be able to live independently, even if their experiences and lives change. We hope that this article will serve as an opportunity to continually reflect on the form of religious education found in public education.

Feasibility study of the beating cancellation during the satellite vibration test

  • Bettacchioli, Alain
    • Advances in aircraft and spacecraft science
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    • v.5 no.2
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    • pp.225-237
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    • 2018
  • The difficulties of satellite vibration testing are due to the commonly expressed qualification requirements being incompatible with the limited performance of the entire controlled system (satellite + interface + shaker + controller). Two features cause the problem: firstly, the main satellite modes (i.e., the first structural mode and the high and low tank modes) are very weakly damped; secondly, the controller is just too basic to achieve the expected performance in such cases. The combination of these two issues results in oscillations around the notching levels and high amplitude beating immediately after the mode. The beating overshoots are a major risk source because they can result in the test being aborted if the qualification upper limit is exceeded. Although the abort is, in itself, a safety measure protecting the tested satellite, it increases the risk of structural fatigue, firstly because the abort threshold has been already reached, and secondly, because the test must restart at the same close-resonance frequency and remain there until the qualification level is reached and the sweep frequency can continue. The beat minimum relates only to small successive frequency ranges in which the qualification level is not reached. Although they are less problematic because they do not cause an inadvertent test shutdown, such situations inevitably result in waiver requests from the client. A controlled-system analysis indicates an operating principle that cannot provide sufficient stability: the drive calculation (which controls the process) simply multiplies the frequency reference (usually called cola) and a function of the following setpoint, the ratio between the amplitude already reached and the previous setpoint, and the compression factor. This function value changes at each cola interval, but it never takes into account the sensor signal phase. Because of these limitations, we firstly examined whether it was possible to empirically determine, using a series of tests with a very simple dummy, a controller setting process that significantly improves the results. As the attempt failed, we have performed simulations seeking an optimum adjustment by finding the Least Mean Square of the difference between the reference and response signal. The simulations showed a significant improvement during the notch beat and a small reduction in the beat amplitude. However, the small improvement in this process was not useful because it highlighted the need to change the reference at each cola interval, sometimes with instructions almost twice the qualification level. Another uncertainty regarding the consequences of such an approach involves the impact of differences between the estimated model (used in the simulation) and the actual system. As limitations in the current controller were identified in different approaches, we considered the feasibility of a new controller that takes into account an estimated single-input multi-output (SIMO) model. Its parameters were estimated from a very low-level throughput. Against this backdrop, we analyzed the feasibility of an LQG control in cancelling beating, and this article highlights the relevance of such an approach.

Characteristics of Organic Polymer Soil Pavement Curing Condition (양생조건에 따른 유기계 폴리머 흙 포장의 특성)

  • Hwang, Sungpil;Jeoung, Jaehyeung;Lee, Yongsoo;Ryu, Sanghun
    • Journal of the Korean GEO-environmental Society
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    • v.15 no.12
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    • pp.35-42
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    • 2014
  • The efforts to reduce carbon emission have been made in many aspects and in road, the study to develop the construction method which will replace asphalt and cement is also underway. But given the low cost and high performance offered by cement, among many solidification agents, it's difficult to seek the competent alternative. Polymeric material has been used in various ways for its advantages including lightweight and easy process for complex function and generates less carbon emission, and thus it would possibly be efficient if it replaces soil pavement using cement. This study, using three different types of organic polymeric solidification agents with different solidification principle, is intended to identify the difference in strength depending on curing method, natural dry or oven dry. Applicability of organic polymeric solidification agents to walkway and bike lane was investigated and as a result of unconfined strength test, all of them satisfied the minimum strength requirements of bike lane. Furthermore, strength characteristics of soil pavement depending on variation of water content was evaluated to identify the relationship, thereby appropriate curing method using organic polymeric solidification agent is proposed.

Finite Difference Model of Unsaturated Soil Water Flow Using Chebyshev Polynomials of Soil Hydraulic Functions and Chromatographic Displacement of Rainfall (Chebyshev 다항식에 의한 토양수분특성 및 불포화 수리전도도 추정과 부분 치환 원리에 의한 강우 분포를 이용한 토양수분 불포화 이동 유한차분 수리모형)

  • Ro, Hee-Myong;Yoo, Sun-Ho;Han, Kyung-Hwa;Lee, Seung-Heon;Lee, Goon-Taek;Yun, Seok-In;Noh, Young-Dong
    • Korean Journal of Soil Science and Fertilizer
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    • v.36 no.4
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    • pp.181-192
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    • 2003
  • We developed a mathematical simulation model to portray the vertical distribution of soil water from the measured weather data and the known soil hydraulic properties, and then compared simulation results with the periodically measured soil water profiles obtained on Jungdong sandy loam to verify the model, In this model, we solved potential-based Richards' equation by the implicit finite difference method superimposed on the predictor-corrector scheme. We presumed that: soil hydraulic properties are homogeneous; soil water flows isothermally; hysteresis is not considered; no vapor flows; no heat transfers into the soil profiles; and water added to soil surface is distributed along the soil profile following partial displacement principle. The input data were broadly classified into two groups: (1) daily weather data such as rainfall, maximum and minimum air temperatures, relative humidity and solar radiation and (2) soil hydraulic data to approximate unsaturated hydraulic conductivity and water retention. Each hydraulic polynomial function approximated using the Chebyshev polynomial and least square difference technique in tandem showed a fairly good fit of the given set of data. Vertical distribution of soil water as approximations to the Richards' equation subject to changing surface and phreatic boundaries was solved numerically during 53 days with a comparatively large time increment, and this pattern agreed well with field neutron scattering data, except for the surface 0.1 m slab.

Optical Design of an Inspection Apparatus for Dynamic Visual Acuity (동체시력 검사기의 광학계 설계)

  • Lee, Dong-Hee;Kim, Hye-Dong
    • Journal of Korean Ophthalmic Optics Society
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    • v.9 no.2
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    • pp.473-480
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    • 2004
  • Recently, they are interested in the relation between night's vehicle accidents of drivers and the dynamic visual acuity at home and aboard. So, in this research, we tried to design an optical system of the inspection equipment to measure the dynamic visual acuity. A optotype standard did to Landolt's ring with 45mm of diameter and 9mm of gap to maintain the visual acuity of 1.0 in the 30m distance. An optical structure of the inspection equipment was composed of the sequence of an observer, a plus refraction lens system, a minus refraction lens system, and an optotype that was arranged to have characteristics that the size of the first virtual image of the optotype made by the minus refraction lens system grows bigger gradually according to the optotype movement to near distance from far distance, and also the first virtual image moves to the principle plane from the focal point of the plus refraction lens system as the size of the first virtual image arranged to the inside of focal distance of plus refraction lens system grows bigger gradually. As doing these processes, we completed the optical system of which characteristic is that the position of the final second virtual image moves to 3m from 50m as the size of the second virtual image made by the plus refraction lens system maintains to be regular.

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