• Title/Summary/Keyword: King's theory

Search Result 305, Processing Time 0.02 seconds

Effects of changing materials properties for vibration of FGM beam using integral shear deformation model

  • Mokhtar Ellali;Mashhour A. Alazwari;Mokhtar Bouazza;Mohamed A. Eltaher;Noureddine Benseddiq
    • Coupled systems mechanics
    • /
    • v.13 no.4
    • /
    • pp.277-291
    • /
    • 2024
  • The objective of this work is to study the effects of the modification of material properties on the vibration of the FGM beam using an integral shear strain model. In the present theory, the rotational displacement is replaced by an integral term in the displacement fields. The use of a shear correction factor is not necessary because our model gives a parabolic description of shear stress through the thickness while satisfying the conditions of zero shear stresses on the bottom and top surfaces of the beam. The FGM beam is assumed that the beam is a mixture of metal and ceramic, and that its properties change depending on the power functions of the thickness of the beam such as: linear, quadratic, cubic and inverse quadratic. By applying Hamilton's principle, general formulas were obtained to obtain the frequencies of the FGM beam. The effects of changing compositional characteristics of materials presented by volume fraction of FGM beams with simply supported edges on free vibration and some mode shapes are investigated.

Bending analysis of functionally graded thick plates with in-plane stiffness variation

  • Mazari, Ali;Attia, Amina;Sekkal, Mohamed;Kaci, Abdelhakim;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Structural Engineering and Mechanics
    • /
    • v.68 no.4
    • /
    • pp.409-421
    • /
    • 2018
  • In the present paper, functionally graded (FG) materials are presented to investigate the bending analysis of simply supported plates. It is assumed that the material properties of the plate vary through their length according to the power-law form. The displacement field of the present model is selected based on quasi-3D hyperbolic shear deformation theory. By splitting the deflection into bending, shear and stretching parts, the number of unknowns and equations of motion of the present formulation is reduced and hence makes them simple to use. Governing equations are derived from the principle of virtual displacements. Numerical results for deflections and stresses of powerly graded plates under simply supported boundary conditions are presented. The accuracy of the present formulation is demonstrated by comparing the computed results with those available in the literature. As conclusion, this theory is as accurate as other shear deformation theories and so it becomes more attractive due to smaller number of unknowns. Some numerical results are provided to examine the effects of the material gradation, shear deformation on the static behavior of FG plates with variation of material stiffness through their length.

Validating the Entrepreneurial Intention Model on the University Students in Saudi Arabia

  • HODA, Najmul;AHMAD, Naim;AHMAD, Mobin;KINSARA, Abdullah;MUSHTAQ, Afnan T.;HAKEEM, Mohammad;AL-HAKAMI, Mwafaq
    • The Journal of Asian Finance, Economics and Business
    • /
    • v.7 no.11
    • /
    • pp.469-477
    • /
    • 2020
  • The main objective of this paper is to examine the applicability of Linan and Chen's entrepreneurial intention model (EIM) in predicting the entrepreneurial intention. EIM is an adaptation of the Theory of Planned Behavior that focuses on entrepreneurial intention and hypothesizing slightly different patterns of relationship with regards to subjective norms. The model also includes human capital and demographic factors. Snowball sampling method was used to collect data using the entrepreneurial intention questionnaire (EIQ) through several social media platforms. The survey indicates that the overall entrepreneurial intention of Saudi students is high (mean = 5.41). Eight out of the seventeen hypothesized relationships were found to be significant. Among the demographic variables, gender-personal attitude was significant whereas self employment experience and years of business education were found to be significantly related with perceived behavioral control. The statistical analysis using partial least square structural equation modelling validated the model. All the three antecedents of entrepreneurial intention were significantly related with entrepreneurial intention. The results of this study will help policy makers to get deep understanding into the phenomenon of entrepreneurship among Saudi university students and thereby develop a conducive environment. This study also validates the entrepreneurial intention model in a different cultural context.

Effects of Pasternak foundation on the bending behavior of FG porous plates in hygrothermal environment

  • Bot, Ikram Kheira;Bousahla, Abdelmoumen Anis;Zemri, Amine;Sekkal, Mohamed;Kaci, Abdelhakim;Bourada, Fouad;Tounsi, Abdelouahed;Ghazwani, M.H.;Mahmoud, S.R.
    • Steel and Composite Structures
    • /
    • v.43 no.6
    • /
    • pp.821-837
    • /
    • 2022
  • This research is devoted to study the effects of humidity and temperature on the bending behavior of functionally graded (FG) ceramic-metal porous plates resting on Pasternak elastic foundation using a quasi-3D hyperbolic shear deformation theory developed recently. The present plate theory with only four unknowns, takes into account both transverse shear and normal deformations and satisfies the zero traction boundary conditions on the surfaces of the functionally graded plate without using shear correction factors. Material properties of porous FG plate are defined by rule of the mixture with an additional term of porosity in the through-thickness direction. The governing differential equations are obtained using the "principle of virtual work". Analytically, the Navier method is used to solve the equations that govern a simply supported FG porous plate. The obtained results are checked by comparing the results determined for the perfect and imperfect FG plates with those available in the scientific literature. Effects due to material index, porosity factors, moisture and thermal loads, foundation rigidities, geometric ratios on the FG porous plate are all examined. Finally, this research will help us to design advanced functionally graded materials to ensure better durability and efficiency for hygro-thermal environments.

Large cylindrical deflection analysis of FG carbon nanotube-reinforced plates in thermal environment using a simple integral HSDT

  • Djilali, Nassira;Bousahla, Abdelmoumen Anis;Kaci, Abdelhakim;Selim, Mahmoud M.;Bourada, Fouad;Tounsi, Abdeldjebbar;Tounsi, Abdelouahed;Benrahou, Kouider Halim;Mahmoud, S.R.
    • Steel and Composite Structures
    • /
    • v.42 no.6
    • /
    • pp.779-789
    • /
    • 2022
  • This work presents a non-linear cylindrical bending analysis of functionally graded plate reinforced by single-walled carbon nanotubes (SWCNTs) in thermal environment using a simple integral higher-order shear deformation theory (HSDT). This theory does not require shear correction factors and the transverse shear stresses vary parabolically through the thickness. The material properties of SWCNTs are assumed to be temperature-dependent and are obtained from molecular dynamics simulations. The material properties of functionally graded carbon nanotube-reinforced composites (FG-CNTCRs) are considered to be graded in the thickness direction, and are estimated through a micromechanical model. The non-linear strain-displacement relations in the Von Karman sense are used to study the effect of geometric non-linearity and the solution is obtained by minimization of the total potential energy. The numerical illustrations concern the nonlinear bending response of FG-CNTRC plates under different sets of thermal environmental conditions, from which results for uniformly distributed CNTRC plates are obtained as benchmarks.

Bending of axially functionally graded carbon nanotubes reinforced composite nanobeams

  • Ahmed Drai;Ahmed Amine Daikh;Mohamed Oujedi Belarbi;Mohammed Sid Ahmed Houari;Benoumer Aour;Amin Hamdi;Mohamed A. Eltaher
    • Advances in nano research
    • /
    • v.14 no.3
    • /
    • pp.211-224
    • /
    • 2023
  • This work presents a modified analytical model for the bending behavior of axially functionally graded (AFG) carbon nanotubes reinforced composite (CNTRC) nanobeams. New higher order shear deformation beam theory is exploited to satisfy parabolic variation of shear through thickness direction and zero shears at the bottom and top surfaces.A Modified continuum nonlocal strain gradient theoryis employed to include the microstructure and the geometrical nano-size length scales. The extended rule of the mixture and the molecular dynamics simulations are exploited to evaluate the equivalent mechanical properties of FG-CNTRC beams. Carbon nanotubes reinforcements are distributed axially through the beam length direction with a new power graded function with two parameters. The equilibrium equations are derived with associated nonclassical boundary conditions, and Navier's procedure are used to solve the obtained differential equation and get the response of nanobeam under uniform, linear, or sinusoidal mechanical loadings. Numerical results are carried out to investigate the impact of inhomogeneity parameters, geometrical parameters, loadings type, nonlocal and length scale parameters on deflections and stresses of the AFG CNTRC nanobeams. The proposed model can be used in the design and analysis of MEMS and NEMS systems fabricated from carbon nanotubes reinforced composite nanobeam.

Free vibration analysis of Bi-Directional Functionally Graded Beams using a simple and efficient finite element model

  • Zakaria Belabed;Abdeldjebbar Tounsi;Abdelmoumen Anis Bousahla;Abdelouahed Tounsi;Mohamed Bourada;Mohammed A. Al-Osta
    • Structural Engineering and Mechanics
    • /
    • v.90 no.3
    • /
    • pp.233-252
    • /
    • 2024
  • This research explores a new finite element model for the free vibration analysis of bi-directional functionally graded (BDFG) beams. The model is based on an efficient higher-order shear deformation beam theory that incorporates a trigonometric warping function for both transverse shear deformation and stress to guarantee traction-free boundary conditions without the necessity of shear correction factors. The proposed two-node beam element has three degrees of freedom per node, and the inter-element continuity is retained using both C1 and C0 continuities for kinematics variables. In addition, the mechanical properties of the (BDFG) beam vary gradually and smoothly in both the in-plane and out-of-plane beam's directions according to an exponential power-law distribution. The highly elevated performance of the developed model is shown by comparing it to conceptual frameworks and solution procedures. Detailed numerical investigations are also conducted to examine the impact of boundary conditions, the bi-directional gradient indices, and the slenderness ratio on the free vibration response of BDFG beams. The suggested finite element beam model is an excellent potential tool for the design and the mechanical behavior estimation of BDFG structures.

Historical Studies on the Characteristics of Jondeokjeong in the Rear Garden of Changdeok Palace (창덕궁 후원 존덕정(尊德亭)의 조영사적 특성)

  • Song, Suk-Ho;Sim, Woo-Kyung
    • Journal of the Korean Institute of Traditional Landscape Architecture
    • /
    • v.32 no.1
    • /
    • pp.31-43
    • /
    • 2014
  • The purposes for this research were to find the correct building background of Jondeokjeong(尊德亭) in the rear garden of Changdeok Palace(昌德宮) based on the historical facts for the area of Jondeokjeong and investigate the internal theory of construction through the metaphysical consideration. The results were as follows. 1. Building background of Jondeokjeong was related to Sohyunseja(昭顯世子) and Bongrimdaegun(鳳林大君) as forms of rear garden where was not built in the area of Jondeokjeong, bamboo pavilion, hexagonal pavilion, octagonal pavilion, etc. They were built two or three times after returning of Sohyunseja and Bongrimdaegun from China, and the area of Jondeokjeong was continuously developed by building Chunhyanggak(天香閣), Mangchunjeong(望春亭) and Cheoknoidang(滌惱堂) after Hyojong(孝宗) succeeded the royal authority of Hyunjong(顯宗) who was born in Shenyang(瀋陽) and hung a signboard of Jondeokjeong after then, etc. 2. Dazhengjeon(大政殿) of Shenyang Palace(瀋陽故宮, 1625) played the roles of major hall, Jeongjeon(正殿) which held national big events as a one-storied building with two piles of roof similar with Jondeokjeong (1644). Also, it was the building encountered when Sohyunseja and Bongrimdaegun participated in breakfasts held in the palace or banquets supervised by a king, so building background of Jondeokjeong was judged to be related with Dazhengjeon. 3. In consideration of characteristics which are shown commonly in Jondeokjeong and Dazhengjeon, relations of two buildings were verified and characteristics of Jondeokjeong were examined. First, dragon which is representatively symbolizing royal authority was formed. Therefore, Jondeokjeong was judged as a garden building which purposes were to obtain and train natural reasons, govern the nation and let people comfortable. Second, the purposes of sun dial, Ilyoungdae(日影臺) were judged to examine the accurate time and express appropriateness of the king. Third, Taechungmun(太淸門) around there is related to Samcheong(三淸) of Taoism and judged to be caused by floral wall and secular happiness accomplishment for king's longevity without disease. Fourth, for building style, one-stories pavilion of duplicated roof and building with only cylinder were to king's embodiment of supporting the sky and governing the nation.4) 4. By examining the differences between Jondeokjeong and Dazhengjeon, Jondeokjeong's own characteristics were considered. First, constructive characteristics of Jondeokjeong were changed by existing of pond and it was changed for characteristics, location and function of pavilion built in the garden while accepting oversea culture and embodied by absorbing to Joseon culture. Second, the appearance of the pond in Jondeokjeong was shown as the situation that half moon typed pond with the form of young moon is full by stream to the East. It was to express movement of moon which was always changed through the form of pond and stream of water iconographycally and it was considered as an imaginary environment method of the period.

Mythicality and Anti-mythicality of Hunminjeongeum (『훈민정음』의 신화성과 반신화성 - 도상성을 중심으로)

  • Song, Hyo-sup
    • 기호학연구
    • /
    • no.54
    • /
    • pp.93-117
    • /
    • 2018
  • The process of creating Hunminjeongeum described in Haerye version of Hunminjeongeum shows a rule of signification by which a signifiant represents a referent. In this article, I will suggest two types, the mythical and the anti-mythical, that affect the iconic relation between signifiant and referent, and consider how they are realized in Hunminjeongeum. The mythical type is shown as Yin-Yang and the Five Elements Theory and Three Elements Theory of Heaven, Earth and Man dominating the thought of intellectuals at that time. It had became mythos, that is the object of absolute belief, by connecting with the power of King at that time. It is very metaphysical and involves a kind of grand narrative. It is also the voice from the past in time and from China in space. It is reflected in Hunminjeongeum's letter system intactly. Meanwhile, the anti-mythical type also affects the creation of Icon in Hunminjeongeum. Even if Hunminjeongeum had been created from King Sejong's project, its intention seemed to be educational and practical. That is the problem of that time, not of past time, and for common class, not for ruling class. It can be considered as logos in that it had been planned and processed at a real-life situation at that time. Some arguments between King Sejong and liege Choi, Manri about the validity of Hunminjeongeum also show that the creation of Hunminjeongeum had involved the problem of critical logos. Above all, in that referents of Icons of Hunminjeongeum are the figures of human vocal organs, we can suggest that these Icons also implied an Indexicality implying actual connection between voice and body. It can be considered as a deconstrucion of metaphysics and grand narrative that had been dominated by foresaid mythical type. Hereafter, from time when Hunminjeongeum have been widely used, mythos of metaphysics and grand narrative that had dominated Hunminjeongeum have been deconstructed and Hunminjeongeum has become to realize its potential competence of pragmatic sign system for the convenience of common people. Therefore, I expect that the cultural potentiality of Hangul today can be realized by such tendency of logos incessantly deconstructing mythos, that is one direction of mythosemiosis.

Cultural Meaning and Analysis of Cooking Methods using Eggs in the Chosun Dynasty (조선조 계란의 문화적 의미와 조리법 분석)

  • Cha, Gyung-Hee;Kim, Seung-Woo
    • Journal of the Korean Society of Food Culture
    • /
    • v.28 no.6
    • /
    • pp.603-622
    • /
    • 2013
  • Egg is a food that has been loved from ancient times by people all around the world. It has been called a present from god because its rounded shape was believed to refer to the earth. We found the oldest and most perfectly preserved egg fossil at Chunmachong (天馬) in Kyungju (慶州). We believe that it was used during the period of the Three States or the unified Silla (新羅), and, accordingly, it was a noble food that has been found at the king's grave of the age. Egg, which is called egg of chicken in Korean, was written as egg of chicken (鷄卵), son of chicken (鷄子), bird's egg of chicken (鷄蛋), and round thing of chicken (鷄丸) in the Korean alphabet and Chinese characters. The ancient countries had the following myths about eggs In myths about offspring by egg, they were born as heaven's will to make them god. There were 19 proverbs: 'Hitting a rock with an egg', 'It's like the yellow part of an egg' and 'Even an egg stops when it rolls', etc. According to a theory of divination based on topography, people use eggs when they find a good place. There are 10 proverbs (四字 成語): Dongjiipran (冬至立卵), Nanyeoseoktu (卵與石投) etc. Studies for analysis of egg recipes found in the old literature (cooking, agriculture and fishing, and medical books) in the Chosun Dynasty recorded 36 times where cuisine with egg was mentioned as the main ingredient, 154 times as a sub-ingredient, 79 times as a garnish, and 20 times etc. As a garnish, they were 'finely sliced', 'thin rectangular and the rhombus form', and 'rounded shape'; after grilling they were divided into yellow and white parts. When cooked, they were used in comparison of the size or shape of an object with that of other objects.