• Title/Summary/Keyword: Variational form

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Application of Hamilton variational principle for vibration of fluid filled structure

  • Khaled Mohamed Khedher;Muzamal Hussain;Rizwan Munir;Saleh Alsulamy;Ayed Eid Alluqmani
    • Advances in nano research
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    • v.15 no.5
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    • pp.401-410
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    • 2023
  • Vibration investigation of fluid-filled three layered cylindrical shells is studied here. A cylindrical shell is immersed in a fluid which is a non-viscous one. Shell motion equations are framed first order shell theory due to Love. 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 wave propagation approach 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 Lagrange energy functional is converted into a set of three partial differential equations. It is also exhibited that the effect of frequencies is investigated by varying the different layers with constituent material. The coupled frequencies changes with these layers according to the material formation of fluid-filled FG-CSs. Throughout the computation, it is observed that the frequency behavior for the boundary conditions follow as; clamped-clamped (C-C), simply supported-simply supported (SS-SS) frequency curves are higher than that of clamped-simply (C-S) curves. Expressions for modal displacement functions, the three unknown functions are supposed in such way that the axial, circumferential and time variables are separated by the product method. Computer software MATLAB codes are used to solve the frequency equation for extracting vibrations of fluid-filled.

Supergene Chloritization and Vermiculitization in Hornblende Gneiss, the Cheongyang Area, Korea (청양지역 각섬석 편마암의 녹니석화 및 질석화 작용 연구)

  • Song, Yungoo;Moon, Hi-Soo
    • Economic and Environmental Geology
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    • v.24 no.3
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    • pp.233-244
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    • 1991
  • A biotite that substantially altered to chlorite and vermiculite in hornblende gneiss from Cheonyang, Korea, has been investigated with electron microprobe analysis. The data show the general variational trends of Ti and K-leaching with increased weathering. However, the chloritization is characterized by Si- conservative reaction and relatively dramatic increase of Al-for-(Fe+Mg) octahedral substitution, whereas the vermiculitization is characterized by total Mg-conservative and Ca-enriching exchange reaction. In the initiating stage the vermiculitization proceeded in a continuous decrease of the Al-for-Si tetrahedral substitution and an increase of the Al-for-(Fe+Mg) octahedral substitution, supporting the currently accepted weathering process. But it differs in the late stage, in which AI(IV) and Fe increase significantly. Recalculations of the structural formular for vermiculite on the basis of several assumptions indicate that the oxidation of Fe is necessary for vermiculite to form the reasonable strutural formular. The relative timing of the oxidation of Fe probably occurs in the late stage, supported by the substantial increase of the Al-for-Si tetrahedral substitution.

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Probing into the optimum preparation and the chemical durability of Sr0.5Zr2(PO4)3-SmPO4 dual-phase ceramics for nuclear waste forms via in-situ synthesis

  • Kunqi Liu;Junxia Wang;Anhang Wu;Jin Wang;Die Liu;Xiaoling Ma
    • Nuclear Engineering and Technology
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    • v.56 no.6
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    • pp.2174-2181
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    • 2024
  • In this work, Sr0.5Zr2(PO4)3-SmPO4 dual-phase ceramics were prepared via in-situ synthesis process, which is a potential novel nuclear waste form for immobilizing the fission product 90Sr and the trivalent actinide radionuclides in high-level waste (HLW). And the preparation technology, microstructure and chemical durability of Sr0.5Zr2(PO4)3-SmPO4 dual-phase ceramics were systematically investigated. It was confirmed that the optimum microwave-sintering temperature (1050 ℃) and heat preservation time (1.5 h) is estimated by Archimedes method. Besides, the as-prepared samples that were consisted of strontium zirconium phosphate (SrZP) and monazite showed the remarkable densification, in which the two crystalline phases were intermixed well with each other. Meanwhile, the formation and evolution of microstructure was also consistent with the variational rule of Sr0.5Zr2(PO4)3/SmPO4, indicating that there was not mutual reaction during the in-situ synthesis process. The PCT and MCC-1 experimental results demonstrated that the elemental normalized leaching rates of tested samples are all at a low level (LRSr ~10-4 g·m-2·d-1, LRZr ~10-8-10-6 g·m-2·d-1, LRSm ~10-7-10-5 g·m-2·d-1 and LRP ~10-4 g·m-2·d-1). It is indicated that Sr0.5Zr2(PO4)3-SmPO4 dual-phase ceramics possesses excellent chemical durability for HLW disposal.

A Study on History and Archetype Technology of Goli-su in Korea (한국 고리수의 역사와 원형기술의 복원 연구)

  • Kim, Young-ran
    • Korean Journal of Heritage: History & Science
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    • v.46 no.2
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    • pp.4-25
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    • 2013
  • Goli-su is the innovative special kind of the embroidery technique, which combines twining and interlacing skill with metal technology and makes the loops woven to each other with a strand. The loops floating on the space of the ground look like floating veins of sculpture and give people the feeling of the openwork. This kind of characteristic has some similarities with the lacework craft of Western Europe in texture and technique style, but it has its own features different from that of Western Europe. It mainly represents the splendid gloss with metallic materials in the Embroidered cloth, such as gold foil or wire. In the 10th century, early days of Goryo, we can see the basic Goli-su structure form of its initial period in the boy motif embroidery purse unearthed from the first level of Octagonal Nine-storied Pagoda of Woljeong-sa. In the Middle period of Joseon, there are several pieces of Goli-su embroidered relic called "Battle Flag of Goryo", which was taken by the Japanese in 1592 and is now in the Japanese temple. This piece is now converted into altar-table covers. In 18~19th century, two pairs of embroidered pillows in Joseon palace were kept intact, whose time and source are very accurate. The frame of the pillows was embroidered with Goli-su veins, and some gold foil papers were inserted into the inside. The triangle motif with silk was embroidered on the pillow. The stitch in the Needle-Looped embroidery is divided into three kinds according to comprehensive classification: 1. Goli-su ; 2. Goli-Kamgi-su ; 3. Goli-Saegim-su. From the 10th century newly establishing stage to the 13th century, Goli-su has appeared variational stitches and employed 2~3 dimensional color schemes gradually. According to the research of this thesis, we can still see this stitch in the embroidery pillow, which proves that Goli-suwas still kept in Korea in the 19th century. And in terms of the research achievement of this thesis, Archetype technology of Goli-su was restored. Han Sang-soo, Important Intangible Cultural Heritage No. 80 and Master of Embroidery already recreated the Korean relics of Goli-su in Joseon Dynasty. The Needle-Looped embriodery is the overall technological result of ancestral outstanding Metal craft, Twining and Interlacing craft, and Embroidery art. We should inherit, create, and seek the new direction in modern multi-dimensional and international industry societyon the basis of these research results. We can inherit the long history of embroidering, weaving, fiber processing, and expand the applications of other craft industries, and develop new advanced additional values of new dress material, fashion technology, ornament craft and artistic design. Thus, other crafts assist each other and broaden the expressive field to pursue more diversified formative beauty and beautify our life abundantly together.