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Forced vibrations of an elastic rectangular plate supported by a unilateral two-parameter foundation via the Chebyshev polynomials expansion

  • Zekai Celep;Zeki Ozcan
    • Structural Engineering and Mechanics
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    • v.90 no.6
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    • pp.551-568
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    • 2024
  • The present study deals with static and dynamic behaviors including forced vibrations of an elastic rectangular nano plate on the two-parameter foundation. Firstly, the rectangular plate is assumed to be subjected to uniformly distributed and eccentrically applied concentrated loads. The governing equations of the problem are derived by considering the dynamic response of the plate, employing a series of the Chebyshev polynomials for the displacement function and applying the Galerkin method. Then, effects of the non-essential boundary conditions of the plate, i.e., the boundary conditions related to the shearing forces, the bending moments and the corner forces, are included in the governing equation of motion to compensate for the non-satisfied boundary conditions and increase the accuracy of the Galerkin method. The approximate numerical solution is accomplished using an iterative process due to the non-linearity of the unilateral property of the two-parameter foundation. The plate under static concentrated load is investigated in detail numerically by considering a wide range of parameters of the plate and the foundation stiffnesses. Numerical treatment of the problem in the time domain is carried out by assuming a stepwise variation of the concentrated load and the linear acceleration procedure is employed in the solution of the system of governing differential equations derived from the equation of motion. Time variations of the contact region and those of the displacements of the plate are presented in the figures for various numbers of the two-parameter of the foundation, as well as the classical and nano parameters of the plate particularly focusing on the non-linearity of the problem due to the plate lift-off from the unilateral foundation. The effects of classical and nonlocal parameters and loading are investigated in detail. Definition of the separation between the plate and the two-parameter foundation is presented and applied to the given problem. The effect of the lift-off on the static and dynamic behavior of the rectangular plate is studied in detail by considering various loading conditions. The numerical study shows that the effect of nonlocal parameters on the behavior of the plate becomes significant, when nonlinearity becomes more profound, due to the lift-off of the plate. It is seen that the size effects are significant in static and dynamic analysis of nano-scaled rectangular plates and need to be included in the mechanical analyses. Furthermore, the corner displacement of the plate is affected more significantly from the lift-off, whereas it is less marked in the time variation of the middle displacement of the plate. Several numerical examples are presented to examine the sensibility of various parameters associated with nonlocal parameters of the plate and foundation. Both stiffening and softening nonlocal parameters behavior of the plate are identified in the numerical solutions which show that increasing the foundation stiffness decreases the extent of the contact region, whereas the stiffness of the shear layer increases the contact region and reduces the foundation settlement considerably.

Fluid bounding effect on FG cylindrical shell using Hankel's functions of second kind

  • Khaled Mohamed Khedher;Shahzad Ali Chattah;Mohammad Amien Khadimallah;Ikram Ahmad;Muzamal Hussain;Rana Muhammad Akram Muntazir;Mohamed Abdelaziz Salem;Ghulam Murtaza;Faisal Al-Thobiani;Muhammad Naeem Mohsin;Abeera Talib;Abdelouahed Tounsi
    • Advances in nano research
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    • v.16 no.6
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    • pp.565-577
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    • 2024
  • Vibration investigation of fluid-filled functionally graded cylindrical shells with ring supports is studied here. Shell motion equations are framed first order shell theory due to Sander. These equations are partial differential equations which are usually solved by approximate technique. Robust and efficient techniques are favored to get precise results. Employment of the Rayleigh-Ritz procedure gives birth to the shell frequency equation. Use of acoustic wave equation is done to incorporate the sound pressure produced in a fluid. Hankel's functions of second kind designate the fluid influence. Mathematically the integral form of the Langrange energy functional is converted into a set of three partial differential equations. A cylindrical shell is immersed in a fluid which is a non-viscous one. These shells are stiffened by rings in the tangential direction. For isotropic materials, the physical properties are same everywhere where the laminated and functionally graded materials, they vary from point to point. Here the shell material has been taken as functionally graded material. After these, ring supports are located at various positions along the axial direction round the shell circumferential direction. The influence of the ring supports is investigated at various positions. Effect of ring supports with empty and fluid-filled shell is presented using the Rayleigh - Ritz method with simply supported condition. The frequency behavior is investigated with empty and fluid-filled cylindrical shell with ring supports versus circumferential wave number and axial wave number. Also the variations have been plotted against the locations of ring supports for length-to-radius and height-to-radius ratio. Moreover, frequency pattern is found for the various position of ring supports for empty and fluid-filled cylindrical shell. The frequency first increases and gain maximum value in the midway of the shell length and then lowers down. It is found that due to inducting the fluid term frequency result down than that of empty cylinder. It is also exhibited that the effect of frequencies is investigated by varying the surfaces with stainless steel and nickel as a constituent material. To generate the fundamental natural frequencies and for better accuracy and effectiveness, the computer software MATLAB is used.

Algorithm for a Minimum Linear Arrangement(MinLA) of Lattice Graph (격자 그래프의 최소선형배열 알고리즘)

  • Sang-Un Lee
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.24 no.2
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    • pp.105-111
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    • 2024
  • This paper deals with the minimum linear arrangement(MinLA) of a lattice graph, to which an approximate algorithm of linear complexity O(n) remains as a viable solution, deriving the optimal MinLA of 31,680 for 33×33 lattice. This paper proposes a partitioning arrangement algorithm of complexity O(1) that delivers exact solution to the minimum linear arrangement. The proposed partitioning arrangement algorithm could be seen as loading boxes into a container. It firstly partitions m rows into r1,r2,r3 and n columns into c1,c2,c3, only to obtain 7 containers. Containers are partitioning with a rule. It finally assigns numbers to vertices in each of the partitioned boxes location-wise so as to obtain the MinLA. Given m,n≥11, the size of boxes C2,C4,C6 is increased by 2 until an increase in the MinLA is detected. This process repeats itself 4 times at maximum given m,n≤100. When tested to lattice in the range of 2≤n≤100, the proposed algorithm has proved its universal applicability to lattices of both m=n and m≠n. It has also obtained optimal results for 33×33 and 100×100 lattices superior to those obtained by existing algorithms. The minimum linear arrangement algorithm proposed in this paper, with its simplicity and outstanding performance, could therefore be also applied to the field of Very Large Scale Integration circuit where m,n are infinitely large.

The Effects of Medical Students' Self-Directed Learning Ability, Self-regulated Learning, and Communication Ability on Self-Efficacy in Performing Medical Treatment (의과대학생의 자기주도학습능력, 자기조절학습, 의사소통능력이 진료수행 자기효능감에 미치는 영향)

  • Nam Joo Je;Ji-Won Yoon;Jeong Seok Hwa
    • The Journal of the Convergence on Culture Technology
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    • v.10 no.3
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    • pp.267-278
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    • 2024
  • This study was a descriptive research study targeting medical students to determine the impact of self-directed learning ability, self-regulated learning, and communication ability on self-efficacy in performing medical treatment. This study randomly selected medical students from Region J, located in Province G, as the approximate population, and a total of 125 copies were finally analyzed. Descriptive statistics were analyzed using t-test, ANOVA, correlation, and multiple regression analysis using IBM SPSS/25. Self-efficacy in performing medical treatment was related to self-directed learning ability (r=.61, p<.001), self-regulated learning (r=.50, p<.001), and communication ability (r=.33, p<.001). There was a positive correlation with all of them. As a result of analyzing the variables that affect the subject's self-efficacy in performing medical treatment using hierarchical multiple regression, self-directed learning ability was found to be the factor that best predicts self-efficacy in performing medical treatment, followed by self-regulated learning and communication ability. The total explanatory power was 46.6%. Acquiring specialized knowledge and becoming a doctor after graduation through clinical practice and acquiring the basic clinical practice skills necessary to successfully perform one's duties are important tasks that medical students must accomplish. Therefore, in order to improve medical students' self-efficacy in performing medical treatment, the importance of improving health care, major satisfaction, and life satisfaction must be recognized and managed. In addition, efforts to develop programs and improve systematic systems that can improve self-directed learning, self-regulated learning, and communication skills should also be supported.

Research on Evaluation of Properties of PA6/PA66/GF Composite according to Injection Pressure and Simulation of Damping Performance (엔진마운트 브라켓용 PA66/GF 복합재료의 특성 평가 및 진동감쇠 성능 시뮬레이션에 대한 연구)

  • Seong-Hun Yu;Hyun-Sung Yun;Dong-Hyun Yeo;Jun-Hee Lee;Jong-Su Park;Jee-hyun Sim
    • Composites Research
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    • v.37 no.2
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    • pp.59-67
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    • 2024
  • Research was conducted on a PA material-based composite material manufacturing method for application to engine mount brackets. Engine mount brackets must have heat resistance, impact resistance, and damping performance. PA66 resin was used as the base material for the composite material. The glass fiber was used as the reinforcement material. The composite material was manufactured using the injection molding method. The thermal, mechanical, and morphological characteristics were analyzed depending on the content of glass fiber. 3D model was created using the property evaluation database of composite materials(input data). The damping performance of the generated 3D model was extracted as out-put data. The reason for evaluating the characteristics of PA-based composite materials and conducting simulations on the damping performance of 3D models of engine brackets is because product performance can be predicted without manufacturing actual automobile parts and conducting damping performance tests. As a result of the damping simulation, damping performance tended to increase proportionally as the mass fraction of the reinforcement increased. But above a certain level, it no longer increased and slightly decreased. As a result of comparing the actual experimental values a nd the simulated values, the approximate value was within ±5%.

A Study on CO2 injectivity with Nodal Analysis in Depleted Oil Reservoirs (고갈 유전 저류층에서 노달분석을 이용한 CO2 주입성 분석 연구)

  • Yu-Bin An;Jea-Yun Kim;Sun-il Kwon
    • Journal of the Korean Institute of Gas
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    • v.28 no.2
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    • pp.66-75
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    • 2024
  • This paper presents development of a CO2 injectivity analysis model using nodal analysis for the depleted oil reservoirs in Malaysia. Based on the final well report of an appraisal well, a basic model was established, and sensitivity analysis was performed on injection pressure, tubing size, reservoir pressure, reservoir permeability, and thickness. Utilizing the well testing report of A appraisal well, permeability of 10md was determined through production nodal analysis. Using the basic input data from the A appraisal well, an injection well model was set. Nodal analysis of the basic model, at the bottomhole pressure of 3000.74psia, estimated the CO2 injection rate to be 13.29MMscfd. As the results of sensitivity analysis, the injection pressure, reservoir thickness, and permeability tend to exhibit a roughly linear increase in injection rate when they were higher, while a decrease in reservoir pressure at injection also resulted in an approximate linear increase in injection rate. Analyzing the injection rate per inch of tubing size, the optimal tubing size of 2.548inch was determined. It is recommended that if the formation parting pressure is known, performing nodal analysis can predict the maximum reservoir pressure and injection pressure by comparing with bottomhole pressure.

CLINICAL CHARACTERISTICS OF CHILD AND ADOLESCENT PSYCHIATRIC INPATIENTS WITH PERVASIVE DEVELOPMENTAL DISORDER (입원한 전반적발달장애 소아청소년의 임상특성)

  • Pyo, Kyung-Sik;Bahn, Geon-Ho;Hong, Kang-E;Park, Tae-Won
    • Journal of the Korean Academy of Child and Adolescent Psychiatry
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    • v.9 no.2
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    • pp.237-246
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    • 1998
  • Objectives and Methods:This study investigated clinical characteristics, treatment modality, outcome of 57 children and adolescent inpatients(male 53, female 4) who were diagnosed as pervasive developmental disorder(PDD) by DSM-Ⅳ criteria recent five years. Results:1) The mean age at admission was $96{\pm}28.2$ months, and the mean age at which they first visited treatment facility was $52{\pm}26.6$ months. The mean hospitalization period was $43.7{\pm}31.3$ days. 2) Diagnosis:Twenty-seven(47.4%) of subjects met DSM-Ⅳ criteria for PDD NOS. Fifteen (26.3%) met for autistic disorder, nine(15.8%) met for Asperger's syndrome, and two(3.5%) met for childhood disintegrative disorder. 3) Comorbid diagnosis:The most common comorbid dignosis was attention deficit hyperactivity disorder(23.8%). 4) IQ test:IQ test for twenty-eight subjects was possible. The Average of the subjects was $70{\pm}27.5$. Fifteen(53.6%) of the subjects were approximate or under 70. 5) Neurology Abnormality:EEG findings of eleven(21.2%) subjects were abnormal, brain CT or MRI findings of eight subjects(21.6%) were abnormal. 6) Family Hx:Depressive disorder were found in Eight mothers(14%). Familial loading was found in twenty families(35.1%), and familial loading of PDD was found in three(5.3%). Conclusion:The most important thing for the management of PDD is early detection and early treatment. To do so, multidisciplinary team approach should be emphasized.

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Nutritional compositions and antioxidative activities of two blueberry varieties cultivated in South Korea (국내산 두 품종 블루베리의 영양성분 및 항산화 활성 비교)

  • Song, Hyo-Nam;Park, Myoung-Su;Youn, Ho-Sik;Park, Sung-Jin;Hogstrand, Christer
    • Food Science and Preservation
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    • v.21 no.6
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    • pp.790-798
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    • 2014
  • The nutritional compositions and antioxidative activities of the Kimcheon lowbush and Pyungtaek highbush blueberries cultivated in South Korea were investigated. The approximate compositions, pH, and soluble-solid and mineral contents of P, Ca, Mg, Na, and Zn were determined. Both blueberry cultivars had mainly fructose and glucose as free sugars while disaccharides such as sucrose, maltose, and lactose were not detected in both. Oleic, linoleic, and linolenic fatty acids were the major fatty acids in both types of blueberries. The total of 16 free amino acids, including seven essential and nine non-essential amino acids, were higher in the Pyungtaek highbush blueberry. Among the amino acids, arginine was especially much higher in the Pyungtaek highbush blueberry. The anthocyanin, resveratrol, and polyphenol compounds, which are the important biologically active compounds in blueberries, were found. The anthocyanin contents of the Kimcheon lowbush and Pyungtaek highbush blueberries were 22.0 and 18.1 mg/100 g, respectively; the resveratrol contents by HPLC, 0.12 and 0.11 mg/100 g; and the total polyphenol contents, 141.3 and 138.4 mg/100 g. The electron-donating ability determined based on the DPPH radical scavenging activity was increased in a concentration-dependent manner, and it was higher than that of the Pyungtaek highbush blueberries, which implies that it is highly correlated with the higher amounts of total polyphenol, anthocyanin, and resveratrol in it. In conclusion, the two varieties of Korean blueberries can be suggested as potential sources of high-value-added functional foods.

Clinical Characteristics and Heart Rate Variability of Foreign Domestic Violence Victims in Korea (국내 거주 외국인 가정폭력 피해 여성의 임상적 특징 및 심박변이도)

  • Kim, Kyu-Lee;Choi, Jin-Sook;Jang, Yong-Lee;Lee, Hae-Woo;Sim, Hyun-Bo
    • Sleep Medicine and Psychophysiology
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    • v.24 no.1
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    • pp.46-54
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    • 2017
  • Objectives: Domestic violence is related to many psychiatric diseases, such as depression, anxiety disorder, and PTSD. Heart rate variability (HRV) is an index of autonomic control of the heart and is related to cardiovascular and emotional disorders. Although there have been some studies on the effects of domestic violence on women's mental health, relatively little information is available on HRV in this population. The aim of this study is to investigate demographic data, psychological features, and HRV in female victims of domestic violence and difference between Korean and foreign female victims. Methods: A total of 210 female victims of domestic violence (166 Korean women and 44 foreign women) were recruited for this study. Psychological symptoms were measured using the Hamilton Rating Scale for Anxiety (HAM-A), Hamilton Rating Scale for Depression (HAM-D), and Impact of Event Scale-Revised (IES-R). HRV measures were assessed by time-domain and frequency-domain analyses. Results: The mean score of HAM-A was 13.81, that of HAM-D was 12.92, and that of IES-R was 33.61 ; there were no significant differences between Korean and foreign women in these measures. In HRV time domain analyses, approximate entropy (ApEn) was significantly increased in foreign women compared to the Korean women. The square root of the mean of the sum of the squares of differences between adjacent NN intervals (RMSSD) was significantly decreased in foreign women compared to Korean women. There were no significant differences in the other HRV variables between Korean and foreign women. Conclusion: Female victims of domestic violence in Korea are associated with depression, anxiety, and PTSD symptoms. The physiologic factors of a female victim's nationality could be related to higher ApEn and lower RMSSD in foreign female victims. These findings have important implications for future study to study the relationships among ethnic and environmental factors and HRV variables.

Properties of stretch-activated $K^+$ channels in an G292 osteoblast-like cell (G292 세포에서 세포막 신장으로 활성화되는 $K^+$통로의 특성)

  • Lee, Sang-Gook;Jung, Dong-Keun;Suh, Duk-Joon;Park, Soo-Byung
    • The korean journal of orthodontics
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    • v.30 no.2 s.79
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    • pp.197-204
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    • 2000
  • [$K^+$]-selective ion channels were studied in excised inside-out membrane patches from human osteoblast-like cells (G292). Three classes of $K^+$channels were present and could be distinguished on the basis of conductance. Conductances were $270\pm27\;pS,\;113\pm12\;pS,\;48\pm8\;pS$ according to their approximate conductances in symmetrical 140 mM KCl saline at holding potential of -80 mV It was found that the small conductance (48 pS) $K^+$channel activation was dependent on membrane voltage. In current-voltage relationship, small conductance $K^+$channel showed outward rectification, and it was activated by the positive potential inside the membrane. In recordings, single channel currents were activayed by a negative pressure outside the membrane. The membrane pressure increased $P_{open}$ of the $K^+$ channel in a pressure-dependent manner. In the excised-patch clamp recordings, G292 osteoblast-like cells have been shown to contain three types of $K^+$ channels. Only the small conductance (48 pS) $K^+$channel is sensitive to the membrane stretch. These findings suggest that a hyperpolarizing current, mediated in part by this channel, may be associated with early events during the mechanical loading of the osteoblast. In G292 osteoblast-like cells, $K^+$channel is sensitive to membrane tension, and may represent a unique adaptation of the bone cell membrane to mechanical stress.

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