• Title/Summary/Keyword: plate shapes

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Vibration of Rectangular Plates (직사각형판(直四角形板)의 진동해석(振動解析))

  • Keuck-Chun,Kim;Tae-Young,Chung
    • Bulletin of the Society of Naval Architects of Korea
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    • v.14 no.1
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    • pp.1-10
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    • 1977
  • The major objects of this report are to supplement data of natural frequencies of thin elastic rectangular plates to the available data, and to give an experimental verification for natural frequencies obtained by Rayleigh-Ritz method, the generation set of which are eigenfunctions of Euler beams. For the first object the following five models, for which data only for the fundamental mode or data only for square plates are available, are adopted; (1) two opposed edges are clamped and the other two opposed edges simply supported (C-C, S-S), (2) one edge is simply supported and the other three edges clamped (C-C, C-S), (3) one edge is free and the other three edges clamped (C-C, C-F), (4) two adjacent edges are clamped and the other two adjacent edges free (C-F, C-F). For the (C-C, S-S) model the frequency equation obtained with the mode shapes assumed as of a single trigonometric series is solved. And for the other four models Rayleigh-Ritz method taking eigenfunctions of Euler beams as the generating set is applied. The numerical examples are obtained up to the fourth, the fifth or the sixth order depending on the range of the aspect ratio (0.1-10.0). The number of terms in the generating set for Rayleigh-Ritz method is fifteen for all models. For the experiment three models made of 3.2mm thickness mild steel plate for general structure use were prepared in following size; $300mm{\times}600mm,\;600mm{\times}600mm\;and\;900mm{\times}600mm$. Their boundary conditions are made to fit (C-C, C-F) condition. From the experiment mechanical impedance curves based on the frequency response method were obtained together with phase relation diagrams. The experimental data are resulted in good conformity to calculated values.

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Synthesis of Barium Ferrite Powder by the Coprecipitation Method using Iron Pickling Waste Acid

  • Youngjae Shim;Kim, Dong-Whan;Kim, Guk-Tae
    • Journal of the Korean Ceramic Society
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    • v.38 no.5
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    • pp.401-404
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    • 2001
  • Barium ferrite powders were synthesized by the coprecipitation method using iron-pickling waste acid (IPWA) and BaCl$_2$$.$2H$_2$O as raw materials. Fe$\^$2+/ ions in the IPWA, which contains both Fe$\^$2+/ and Fe$\^$3+/ ions, were oxidized into Fe$\^$3+/ ions using H$_2$O$_2$. Proper amount of BaCl$_2$$.$2H$_2$O was dissolved into the oxidized IPWA. Using NaOH, Ba$\^$2+/ and Fe$\^$3+/ ions were coprecipitated as Ba(OH)$_2$and Fe(OH)$_3$. The coprecipitated Ba(OH)$_2$and Fe(OH)$_3$were washed and dried. Barium ferrite powders were obtained by calcining the dried Ba(OH)$_2$and Fe(OH)$_3$mixture from 400$\^{C}$ to 1000$\^{C}$ with a 100$\^{C}$ interval. Barium ferrite powders were characterized by X-ray diffraction, SEM, and VSM. It was found that barium ferrite powders could be synthesized at around 630$\^{C}$. The synthesized barium ferrite powders showed hexagonal plate shapes with a fairly uniform size. The barium ferrite powder calcined at 900$\^{C}$ showed good magnetic properties, saturation magnetization of 67emu/g and maximum coercivity of 5000 Oe.

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The Study of Nondestructive Test about Impact Damage of Plate Composite Materials (판형 복합재료의 충격 손상에 대한 비파괴시험적 고찰)

  • 나성엽;김재훈;최용규;류백능
    • Journal of the Korean Society of Propulsion Engineers
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    • v.5 no.4
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    • pp.20-30
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    • 2001
  • This study represents the Nondestructive Test about impact damage of composite materials made by different lay-up patterns and degrees. For this study, they were examined by the drop test on composite materials of two type lap-up patterns with fabric and unidirectional prepreg and examined nondestructive test of those. Nondestructive methods were X-ray test with $ZnI_2$ penetrant and Ultrasonic C-scan. The defect detectability of X-ray and Ultrasonic test was compared according to defect species. And the amounts of damage on impacted zone wert compared according to impact energy on two type test specimens. At results, Ultrasonic test was more effective to detect delamination and Penetrant X-ray test was more effective to detect matrix crack and fiber fracture. There were some differences in defect shapes and grades according to lay-up patterns and degrees, and the trend appeared that matrix crack, delamination, fiber fracture occured and increasing defects sizes according to increasing impact energy.

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Synthesis of zinc oxide nanoparticles via aqueous solution routes (수용액 합성법에 의한 ZnO 나노분말의 합성)

  • Koo, Jin Heui;Yang, Jun Seok;Cho, Soo Jin;Lee, Byeong Woo
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.26 no.5
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    • pp.175-180
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    • 2016
  • ZnO nanoparticles were synthesized by aqueous preparation routes of a precipitation and a hydrothermal process. In the processes, the powders were formed by mixing aqueous solutions of Zn-nitrate hexahydrate ($Zn(NO_3)_2{\cdot}6H_2O$) with NaOH aqueous solution under controlled reaction conditions such as Zn precursor concentration, reaction pH and temperature. Single ZnO phase has been obtained under low Zn precursor concentration, high reaction pH and high temperature. The synthesized particles exhibited flakes (plates), multipods or rods morphologies and the crystallite sizes and shapes would be efficiently controllable by changing the processing parameters. The hydrothermal method showed advantageous features over the precipitation process, allowing the precipitates of single ZnO phase with higher crystallinity at relatively low temperatures below $100^{\circ}C$ under a wider pH range for the Zn precursor concentration of 0.1~1 M.

Synthesis of Sub-Micron MgH2 using Hydriding Thermal Chemical Vapor Synthesis (수소화기상증착공정을 이용한 마그네슘하이드라이드 미세분말 합성)

  • Kang, Taehee;Kim, Jinho;Han, Kyusung;Kim, Byunggoan
    • Journal of Hydrogen and New Energy
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    • v.23 no.5
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    • pp.455-460
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    • 2012
  • This work describes the hydriding chemical vapor synthesis (HCVS) of the $MgH_2$ in a hydrogen atmosphere and the product's hydriding-dehydridng properties. Mg powder was used as a starting material to synthesize $MgH_2$ and uniformly heated to a temperature of $600^{\circ}C$ for Mg vaporization. The effects of hydrogen pressure on the morphology and the composition of HCVS-$MgH_2$ were examined by using X-ray diffraction (XRD) and scanning electron microscopy (SEM). It is clearly seen that after the HCVS process, the particle size of synthesized $MgH_2$ was drastically reduced to the submicron or micrometer-scale and these showed different shapes (needle-like nanofibers and angulated plate) depending on the hydrogen pressure. It was found that after the HCVS process, the $H_2$ desorption temperature of HCVS-$MgH_2$ decreased from 380 to $410^{\circ}C$, and the minimum hydrogen desorption tempreature of HCVS-$MgH_2$ powder with needle-like shape can be obtained. In addition, the enhanced hydrogen storage performance for needle-like $MgH_2$ was achieved during subsequent hydriding-dehydriding cycles.

A Study on the Mitigation of Welding Distortion of a Precision Component for Automobile Transmission (자동차 변속기용 정밀 부품의 용접변형 감소화에 관한 연구)

  • Chung, Hoi-Yoon;Kim, Jae-Woong;Yun, Seok-Chul
    • Journal of Welding and Joining
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    • v.30 no.4
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    • pp.31-37
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    • 2012
  • In recent years, a demand for precision-welding is increasing in wide industrial fields for getting a high quality welded structures. Although laser welding is commonly used for precision-welding, gas tungsten arc (GTA) welding is also attempted as a precision-welding due to the cost benefit. However, welding heat causes an uneven temperature distribution leading to welding deformation. Since it causes geometric errors and degrades product quality, welding distortion recently rises as an important issue in the field of automobile parts. To control welding deformation, it is needed to design in shapes that can maximize stiffness against deformation during welding; control the welding sequence; minimize heat input; and weld allowing reverse deformation; etc. Thus it is necessary to find the one, among such approaches, that can minimize the deformation range by mathematical analysis and understand how effective it would be when it is actually used in industrial fields. This study performs analyses by numerical calculations and experiments for the De-Tent Lever, one of transmission part that requires precision the most among automobile parts, as the subject of experiment. Decrease in welding deformation is required for this part, since there is currently a trouble in guaranteeing precision due to angular deformation by welding between boss and plate. Finally the ways to minimize welding deformation has been suggested in this study through analyses on it.

Vibration analysis and optimization of functionally graded carbon nanotube reinforced doubly-curved shallow shells

  • Hammou, Zakia;Guezzen, Zakia;Zradni, Fatima Z.;Sereir, Zouaoui;Tounsi, Abdelouahed;Hammou, Yamna
    • Steel and Composite Structures
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    • v.44 no.2
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    • pp.155-169
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    • 2022
  • In the present paper an analytical model was developed to study the non-linear vibrations of Functionally Graded Carbon Nanotube (FG-CNT) reinforced doubly-curved shallow shells using the Multiple Scales Method (MSM). The nonlinear partial differential equations of motion are based on the FGM shallow shell hypothesis, the non-linear geometric Von-Karman relationships, and the Galerkin method to reduce the partial differential equations associated with simply supported boundary conditions. The novelty of the present model is the simultaneous prediction of the natural frequencies and their mode shapes versus different curvatures (cylindrical, spherical, conical, and plate) and the different types of FG-CNTs. In addition to combining the vibration analysis with optimization algorithms based on the genetic algorithm, a design optimization methode was developed to maximize the natural frequencies. By considering the expression of the non-dimensional frequency as an objective optimization function, a genetic algorithm program was developed by valuing the mechanical properties, the geometric properties and the FG-CNT configuration of shallow double curvature shells. The results obtained show that the curvature, the volume fraction and the types of NTC distribution have considerable effects on the variation of the Dimensionless Fundamental Linear Frequency (DFLF). The frequency response of the shallow shells of the FG-CNTRC showed two types of nonlinear hardening and softening which are strongly influenced by the change in the fundamental vibration mode. In GA optimization, the mechanical properties and geometric properties in the transverse direction, the volume fraction, and types of distribution of CNTs have a considerable effect on the fundamental frequencies of shallow double-curvature shells. Where the difference between optimized and not optimized DFLF can reach 13.26%.

Heat Transfer Depending on 3D Printing Material and Shape for Protector Development (3D 프린팅 보호대 개발을 위한 재료와 구조에 따른 열전달 평가)

  • Okkyung Lee;Soyoung Kim;Yejin Lee;Heeran Lee
    • Fashion & Textile Research Journal
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    • v.25 no.4
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    • pp.497-507
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    • 2023
  • This study measured the effect 3D printing products comprised of different materials and shapes on heat transfer in clothing to derive fundamental data on thermal comfort among clothing comfort. The variables were three types of material (EVA foam, TPU-10%, TPU-10%+EVA), two types of shape (without holes, with holes), and two types of covers(without cover, with cover). All samples (12 types) prepared by combining these variables were placed on the hot plate set at 36℃, and the surface temperature was measured at three points for 10 minutes. The surface temperature change was dependent on the material, shape, and cover of the sample. The sample printed with TPU exhibited higher temperature transfer compared to the EVA foam sample after 10 mins. In addition, the temperature transfer was better when there were holes, and rate decreased when the sample was covered with fabric. We confirmed that material selection of the pad and thermal conductivity of the cover are extremely important in solving thermal stress to the human body caused by functional clothing with protectors. Additionally, as the protector, it is recommended to design the outer shell with a passage, such as a hole, to allow the rapid transfer of heat to the external environment.

Camber Reconstruction for a Prefab PSC Girder Using Collocated Strain Measurements (병치된 변형률 계측치를 이용한 프리팹 PSC 거더 캠버 재구성)

  • Kim, Hyun Young;Ko, Do Hyeon;Park, Hyun Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.42 no.2
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    • pp.151-162
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    • 2022
  • Prefab members have attracted attention because they can be mass-produced in factories through smart construction technology. For prefab prestressed concrete girders, it is important to manage the shapes of the girders properly from production to the pre-installation stage for consistency with the prefab floor plate during the erection process. This paper presents a camber reconstruction method using collocated strain measurements from the top and bottom of the prefab girder. In particular, the camber reconstruction method is applied to measured strain data in which the time-dependent behavior of concrete is considered after the introduction of prestress. Through Monte Carlo numerical simulations, the statistical accuracy of the reconstructed camber for a limited number of sensors, measurement errors, and nonlinear time-dependent behaviors are analyzed and validated.

Three-dimensional numerical parametric study of shape effects on multiple tunnel interactions

  • Chen, Li'ang;Pei, Weiwei;Yang, Yihong;Guo, Wanli
    • Geomechanics and Engineering
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    • v.31 no.3
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    • pp.237-248
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    • 2022
  • Nowadays, more and more subway tunnels were planed and constructed underneath the ground of urban cities to relieve the congested traffic. Potential damage may occur in existing tunnel if the new tunnel is constructed too close. So far, previous studies mainly focused on the tunnel-tunnel interactions with circular shape. The difference between circular and horseshoe shaped tunnel in terms of deformation mechanism is not fully investigated. In this study, three-dimensional numerical parametric studies were carried out to explore the effect of different tunnel shapes on the complicated tunnel-tunnel interaction problem. Parameters considered include volume loss, tunnel stiffness and relative density. It is found that the value of volume loss play the most important role in the multi-tunnel interactions. For a typical condition in this study, the maximum invert settlement and gradient along longitudinal direction of horseshoe shaped tunnel was 50% and 96% larger than those in circular case, respectively. This is because of the larger vertical soil displacement underneath existing tunnel. Due to the discontinuous hoop axial stress in horseshoe shaped tunnel, significant shear stress was mobilized around the axillary angles. This resulted in substantial bending moment at the bottom plate and side walls of horseshoe shaped tunnel. Consequently, vertical elongation and horizontal compression in circular existing tunnel were 45% and 33% smaller than those in horseshoe case (at monitored section X/D = 0), which in latter case was mainly attributed to the bending induced deflection. The radial deformation stiffness of circular tunnel is more sensitive to the Young's modulus compared with horseshoe shaped tunnel. This is because of that circular tunnel resisted the radial deformation mainly by its hoop axial stress while horseshoe shaped tunnel do so mainly by its flexural rigidity. In addition, the reduction of soil stiffness beneath the circular tunnel was larger than that in horseshoe shaped tunnel at each level of relative density, indicating that large portion of tunneling effect were undertaken by the ground itself in circular tunnel case.