• Title/Summary/Keyword: coupling 2-form

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On the Use of Modal Derivatives for Reduced Order Modeling of a Geometrically Nonlinear Beam (모드 미분을 이용한 기하비선형 보의 축소 모델)

  • Jeong, Yong-Min;Kim, Jun-Sik
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.30 no.4
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    • pp.329-334
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    • 2017
  • The structures, which are made up with the huge number of degrees-of-freedom and the assembly of substructures, have a great complexity. In order to increase the computational efficiency, the analysis models have to be simplified. Many substructuring techniques have been developed to simplify large-scale engineering problems. The techniques are very powerful for solving nonlinear problems which require many iterative calculations. In this paper, a modal derivatives-based model order reduction method, which is able to capture the stretching-bending coupling behavior in geometrically nonlinear systems, is adopted and investigated for its performance evaluation. The quadratic terms in nonlinear beam theory, such as Green-Lagrange strains, can be explained by the modal derivatives. They can be obtained by taking the modal directional derivatives of eigenmodes and form the second order terms of modal reduction basis. The method proposed is then applied to a co-rotational finite element formulation that is well-suited for geometrically nonlinear problems. Numerical results reveal that the end-shortening effect is very important, in which a conventional modal reduction method does not work unless the full model is used. It is demonstrated that the modal derivative approach yields the best compromised result and is very promising for substructuring large-scale geometrically nonlinear problems.

Synthesis, Sytructure, and Magnetic Properties of One-Dimensional Thiophoshates, $Al_2NiP_2S_6$ (A=Rb, Cs) (1차원 구조를 갖는 Thiophoshates, $Al_2NiP_2S_6$ (A=Rb, Cs)의 합성, 구조 및 자기적 성질)

  • Dong, Yong Kwan;Lee, Kun Soo;Yun, Ho Seop;Hur, Nam Hwi
    • Journal of the Korean Chemical Society
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    • v.45 no.3
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    • pp.242-246
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    • 2001
  • The quaternary thiophosphates, $A_2NiP_2S_6$ (A=Rb, Cs), have been synthesized with halide fluxes and structurally characterized by single-crystal X-ray diffraction technique. These compounds crystallize in the space group $C_{2h}^5-P2_1/n$ of the monoclinic system with two formula units in a cell of dimensions a=5.960(2), b=12.323(4), $c=7.491(3)\AA$, $\beta=97.05(3)^{\circ}$, and $V=546.0(3)\AA^3$ for Rb2NiP2S6 and a=5.957(4), b=12.696(7), $c=7.679(4)\AA$, $b=93.60(5)^{\circ}$, and $V=579.7(5)\AA^3$ for $Cs_2NiP_2S_6.$ These compounds are isostructural. The structure of $Cs_2NiP_2S_6$ is made up of one-dimensional $_\infty^1[NiP_2S_6^{2-}]$ chains along the a axis and these chains are isolated by $Cs^+$ ions. The Ni atom is octahedrally coordinated by six S atoms. These Ni$S_6$ octahedral units are linked by sharing three m-S atoms of the $[P_2S_6^{4-}]$ anions to form the infinite one-dimensional $_\infty^1[NiP_2S_6^{2-}]$ chain. For $Cs_2NiP_2S_6$, the magnetic susceptibility reveals an antiferromagnetic exchange interaction below 8K,which corresponds to the Neel temperature ($T_N$). Above $T_N$, this compound obeys Curie-Weiss law. The magnetic moment, C, and ${\theta}forCs_2NiP_2S_6$ are 2.77 B.M., 0.9593 K, and -19.02 K, respectively. The effective magnetic moment obtained from the magnetic data is agreed with the spin-only value of $Ni^{2+}d^8$(2.83 B.M.) system.

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A Study The Structural Stability of the Fence Ohgokmun Soswaewon Factor Analysis (소쇄원 오곡문 담장의 구조적 안정에 미치는 요인 분석)

  • Jang, Ik-Sik;Jeon, Hyeong-Soon;Ha, Tae Ju;Lee, Jae-Keun
    • Journal of the Korean Institute of Traditional Landscape Architecture
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    • v.31 no.4
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    • pp.113-122
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    • 2013
  • In this study, the traditional structure of the impact on the stability analysis. Korean traditional landscape architecture column space of stonework stable composition as the foundation of the fence for a long time been known to fall down and not maintained. The destination of research Ohgokmun Damyang Soswaewon fence which is in harmony with nature is one of the traditional structures that affect its shape without being kept so far came true. This includes our ancestral wisdom and that wisdom can guess guesswork. But I let the traditional reproduction incidence structures frequently. This deviation from the traditional method of construction application of shorthand stand. Thus, the subject of this study, the factors that do not fall down fences Ohgokmun solution is to indirectly gain the weak. In addition, epidemiological studies and the methods of calculation of the inferred physical examination, the results of the analysis were derived through the following. First, the internal factors of the fence Ohgokmun constituting the structural member and the coupling of the scheme. 1) based on stable ground. Greater role in the country rock The fact that the settlement will have no symptoms. 2) to minimize the friction caused by hydrological water to remove the two-pronged process through stone work building form and menu sustaining power in hydrology and flooding made against the bypass channel. 3) due to the load bearing capacity and durability to withstand the strength of the material and the construction of structures in the form of a dispersion of power between each individual to maximize the process of getting traction was applied. Second, external factors Ohgokmun fence the results obtained through the calculation of the dynamics of repair, is greatly affected by the wind and the water gate of the fence, but the action of the structural stability of the lack of power that hurt enough conclusion. In this study, the results of the structure of internal and external influence as well through the structure can be viewed as composed consisting. However, over the next follow-up in terms of climate and environmental factors due to the fact that the fall might.

The Occurrence of Degenerative Change in the Mandibular Condyles of Korean Patients with Temporomandibular Disorders (측두하악장애 환자에서 하악과두의 퇴행성 변화의 발생 양상에 대한 연구)

  • Jo, Jung-Hwan;Park, Min-Woo;Kim, Young-Ku;Lee, Jeong-Yun
    • Journal of Oral Medicine and Pain
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    • v.36 no.1
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    • pp.53-63
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    • 2011
  • Osteoarthritis (OA), the most common form of arthritis, is a result of both mechanical and biological events that destabilize the normal coupling of degradation and synthesis of articular cartilage chondrocytes and extracelluar matrix, and subchondral bone. Although it is likely that the molecular basis of pathogenesis is similar to that of other joints, additional study of the temporomandibular joint (TMJ) is required due to its unique structure and function. This study was carried out to evaluate the epidemiologic characteristics of TMJ osteoarthritis. The purpose of this study was to investigate the prevalence of TMJ OA in Patients with temporomandibular disorders (1405 men and 2922 women whose mean age was $30.2\; {\pm}\; 15.4$ and $33.1\;{\pm}\;15.2$ years, respectively) who had visited the TMJ and Orofacial Pain Clinic of Seoul National University Dental Hospital in 2007. Orthopantomograms, TMJ tomograms and transcranial radiographs were used to evaluate degenerative change of the mandibular condyle. The obtained results were as follows: 1. Degenerative change of the mandibular condyle was observed in 883 (20.4%) of 4327 subjects. The prevalence was significantly higher in women (706 patients, 24.1%) than in men (177 patients, 12.6%), and this significant difference between genders was observed in all age groups. 2. The prevalence of degenerative change of the mandibular condyle in TMD patients showed a gentle increase along with age. Such increase was statistically significant in women (P < 0.001), but not in men. 3. Sclerosis was observed the most frequently in all age groups and the mean age of the patients with osteophyte was the highest among four types of degenerative change. 4. Although men showed degenerative change in the left side more often and women showed degenerative change more frequently in both sides, the difference of distribution in sides between genders was not significant. In conclusion, the prevalence of degenerative change of the mandibular condyle in TMD patients is higher in women than in men, and increases steadily with aging, but not as dramatically as in other joints that show a steep increase in prevalence around the age of 45 years. It can be suggested that the epidemiologic characteristic of OA of the TMJ differs from those of other joints, and that a more extensive study based on the general population is necessary.