• Title/Summary/Keyword: S-curvature

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The Case Report of Chuna Treatment using Drop Table on Neck Pain Patients with Kyphotic Cervical Curvature (경추 후만에 대한 낙차 교정기법을 이용한 추나치료 치험례)

  • Park, Jang-Woo;Hwang, Jae-Pil;Kim, Min-Kyun;Oh, Min-Seok;Heo, Dong-Seok
    • The Journal of Churna Manual Medicine for Spine and Nerves
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    • v.1 no.2
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    • pp.111-123
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    • 2006
  • Objectives: This study is performed to evaluate the clinical effect of chuna therapy on the neck pain associated with kyphotic cervical curvature. Methods: This study carried out on three patients with neck pain & kyphotic cervical curvature who have received treatment in Depar1ment of Oriental Rehabilitation Medicine, Daejon Oriental Hospital of Daejon University from 28th July 2006 to 3th November 2006. Pre and post treatment, We evaluated the cervical angle, Jackson's angle, Jochumsen method, Ishihara index, VAS and effective score of treatment. Results & Conclusions: Two patients who received Chuna treatment recovered cervical curvature and improved neck pain. But One patient who dosen't received Chuna treatment was no improvement in cervical curvature & neck pain.

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Design of the Hydraulic Rotor Block Curvature for a Knuckle Crane According to the Contact Angle (접촉각에 따른 너클 크레인용 유압로터블록의 만곡부 설계)

  • Lee J.M.;Han G.J.;Han D.S.;Lee S.W.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2006.05a
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    • pp.377-378
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    • 2006
  • The knuckle crane mainly consists of six parts such as swing, main boom, outer boom, extension boom, hydraulic rotor and knuckle. And the hydraulic rotor is connected at the end of extension boom has rotor block, rotor body, rotor vane. In this study, we carried out kinematics analysis of the hydraulic rotor block curvature for a knuckle crane. Then, we showed the formula to establish the radius of a circumscribed circle to form the rotor block curvature. Third, we analyzed the stress at each point of the rotor block curvature according to the contact angle. From the result of this study, we designed the rotor block curvature with a proper contact angle for a knuckle crane to guarantee the stability of hydraulic rotor.

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CONSTANT NEGATIVE SCALAR CURVATURE ON OPEN MANIFOLDS

  • Kim, Seong-Tag
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.195-201
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    • 1998
  • We let (M,g) be a noncompact complete Riemannian manifold of dimension n $\geq$ 3 with scalar curvatue S, which is close to -1. We show the existence of a conformal metric $\bar{g}$, near to g, whose scalar curvature $\bar{S}$ = -1 by gluing solutions of the corresponding partial differential equation on each bounded subsets $K_i$ with ${\bigcup}K_i$ = M.

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REAL HYPERSURFACES WITH ξ-PARALLEL RICCI TENSOR IN A COMPLEX SPACE FORM

  • Ahn, Seong-Soo;Han, Seung-Gook;Kim, Nam-Gil;Lee, Seong-Baek
    • Communications of the Korean Mathematical Society
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    • v.13 no.4
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    • pp.825-838
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    • 1998
  • We prove that if a real hypersurface with constant mean curvature of a complex space form satisfying ▽$_{ξ/}$S = 0 and Sξ = $\sigma$ξ for a smooth function $\sigma$, then the structure vector field ξ is principal, where S denotes the Ricci tensor of the hypersurface.

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The Effects of Curvature Change on Penetration Characteristics of CFRP Laminate shell (곡률변화가 CFRP 적층쉘의 관통특성에 미치는 영향)

  • 조영재;이상훈;김영남;양인영
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2004.10a
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    • pp.274-279
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    • 2004
  • Currently, carbon-fiber reinforced plastics(CFRP) are widely used in both space and civil aircraft due to their superior stiffness and strength to weight ratios compared to conventional metallic materials. This paper is to study the effects of curvature and stacking sequence on the penetration characteristics of composite laminated shell. And were performed to investigate the penetration characteristics of composite laminated shells by the oblique impact. They are stacked to [0$_3$/90$_3$]s, [90$_3$/0$_3$]s and [0$_2$/90$_3$/0]s, [90$_2$/0$_3$/90]s their interlaminar number two and fore. They are manufactured to varied curvature radius (R=100, 150, 200mm and $\infty$). When the specimen is subjected to transverse impact by a steel ball, the velocity of the steel ball was measured both before and after impact by determining the time for it to pass two ballistics-screen sensor located a known distance apart. In general, the critical penetration energy interface decrease and slope angle on the impact surface increased. [0$_3$/90$_3$]s and [0$_2$/90$_3$]s specimens higher than [90$_3$/0$_3$]s and [90$_2$/0$_3$/90]s specimens.

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A STUDY ON (k, 𝜇)'-ALMOST KENMOTSU MANIFOLDS

  • Li, Jin;Liu, Ximin;Ning, Wenfeng
    • Honam Mathematical Journal
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    • v.40 no.2
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    • pp.347-354
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    • 2018
  • Let ${\mathcal{C}}$, ${\mathcal{M}}$, ${\mathcal{L}}$ be concircular curvature tensor, M-projective curvature tensor and conharmonic curvature tensor, respectively. We obtain that if a non-Kenmotsu ($k,{\mu}$)'-almost Kenmotsu manifold satisfies ${\mathcal{C}}{\cdot}{\mathcal{S}}=0$, ${\mathcal{R}}{\cdot}{\mathcal{M}}=0$ or ${\mathcal{R}}{\cdot}{\mathcal{L}}=0$, then it is locally isometric to the Riemannian product ${\mathds{H}}^{n+1}(-4){\times}{\mathds{R}}^n$.

THE CURVATURE TENSORS IN THE EINSTEIN′S *g- UNIFIED FIELD THEORY I. THE SE-CURVATURE TENSOR OF *g-SE $X_{n}$

  • Chung, Kyung-Tae;Chung, Phil-Ung;Hwang, In-Ho
    • Journal of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.1045-1060
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    • 1998
  • Recently, Chung and et al. ([11], 1991c) introduced a new concept of a manifold, denoted by *g-SE $X_{n}$ , in Einstein's n-dimensional *g-unified field theory. The manifold *g-SE $X_{n}$ is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor * $g^{λν}$ through the SE-connection which is both Einstein and semi-symmetric. In this paper, they proved a necessary and sufficient condition for the unique existence of SE-connection and presented a beautiful and surveyable tensorial representation of the SE-connection in terms of the tensor * $g^{λν}$. This paper is the first part of the following series of two papers: I. The SE-curvature tensor of *g-SE $X_{n}$ II. The contracted SE-curvature tensors of *g-SE $X_{n}$ In the present paper we investigate the properties of SE-curvature tensor of *g-SE $X_{n}$ , with main emphasis on the derivation of several useful generalized identities involving it. In our subsequent paper, we are concerned with contracted curvature tensors of *g-SE $X_{n}$ and several generalized identities involving them. In particular, we prove the first variation of the generalized Bianchi's identity in *g-SE $X_{n}$ , which has a great deal of useful physical applications.tions.

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THE CURVATURE TENSORS IN THE EINSTEIN'S $^*g$-UNIFIED FIELD THEORY II. THE CONTRACTED SE-CURVATURE TENSORS OF $^*g-SEX_n$

  • Chung, Kyung-Tae;Chung, Phil-Ung;Hwang, In-Ho
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.641-652
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    • 1998
  • Chung and et al. ([2].1991) introduced a new concept of a manifold, denoted by $^{\ast}g-SEX_n$, in Einstein's n-dimensional $^{\ast}g$-unified field theory. The manifold $^{\ast}g-SEX_n$ is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor $^{\ast}g^{\lambda \nu}$ through the SE-connection which is both Einstein and semi-symmetric. In this paper, they proved a necessary and sufficient condition for the unique existence of SE-connection and sufficient condition for the unique existence of SE-connection and presented a beautiful and surveyable tensorial representation of the SE-connection in terms of the tensor $^{\ast}g^{\lambda \nu}$. Recently, Chung and et al.([3],1998) obtained a concise tensorial representation of SE-curvature tensor defined by the SE-connection of $^{\ast}g-SEX_n$ and proved deveral identities involving it. This paper is a direct continuations of [3]. In this paper we derive surveyable tensorial representations of constracted curvature tensors of $^{\ast}g-SEX_n$ and prove several generalized identities involving them. In particular, the first variation of the generalized Bianchi's identity in $^{\ast}g-SEX_n$, proved in theorem (2.10a), has a great deal of useful physical applications.

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MULTI-OBJECTIVE OPTIMIZATION OF THE INNER REINFORCEMENT FOR A VEHICLE'S HOOD CONSIDERING STATIC STIFFNESS AND NATURAL FREQUENCY

  • Choi, S.H.;Kim, S.R.;Park, J.Y.;Han, S.Y.
    • International Journal of Automotive Technology
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    • v.8 no.3
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    • pp.337-342
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    • 2007
  • A multi-objective optimization technique was implemented to obtain optimal topologies of the inner reinforcement for a vehicle's hood simultaneously considering the static stiffness of bending and torsion and natural frequency. In addition, a smoothing scheme was used to suppress the checkerboard patterns in the ESO method. Two models with different curvature were chosen in order to investigate the effect of curvature on the static stiffness and natural frequency of the inner reinforcement. A scale factor was employed to properly reflect the effect of each objective function. From several combinations of weighting factors, a Pareto-optimal topology solution was obtained. As the weighting factor for the elastic strain efficiency went from 1 to 0, the optimal topologies transmitted from the optimal topology of a static stiffness problem to that of a natural frequency problem. It was also found that the higher curvature model had a larger static stiffness and natural frequency than the lower curvature model. From the results, it is concluded that the ESO method with a smoothing scheme was effectively applied to topology optimization of the inner reinforcement of a vehicle's hood.