• Title/Summary/Keyword: resultants

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A Study on the Approximate Analysis of the Bending Moment for the Three-Span Continuous Curved Girder Bridges with Constant Cross Section (등단면 3경간 연속 곡선격자형교의 휨모멘트 근사해석에 관한 연구)

  • Chang, Byung Soon;Seo, Sang Geun;Cha, Ki Hyuk
    • Journal of Korean Society of Steel Construction
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    • v.11 no.2 s.39
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    • pp.131-142
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    • 1999
  • The general behavior of the curved girder including the warping effects can be presented as the series of differential equations developed by Vlasov. Generally, bending moment is the most important factor for engineer to decide the section of the girder. In order to accommodate easiness of the structural analysis for the curved girder bridge, this paper suggest the ratios of bending moment of curved gilder to that of straight girder. These ratios are presented by an approximate formula setting central angle ${\theta}(L/R)$ as a variable. The approximate formula of the maximum bending moment ratios and influence lines of all stress resultants can be used to design the three-span curved girder bridges.

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A Study on the Estimation of Heavy Storm (호우량(豪雨量)의 추정(推定)에 관(關)한 일고찰(一考察))

  • Cho, Hi Doo
    • Journal of Korean Society of Forest Science
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    • v.23 no.1
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    • pp.35-39
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    • 1974
  • After lasting heavy storm, the overfow from the top of soil saving dam may follow if the outlet is not precisely designed and it causes great damages as a result. Therefore, the peak rate of flood must be premeditated at the time of dam construction and many kinds of erosion control measures should also be constructed to protect against the effects of oveflow causing the damages. In this paper, the daily maximum amounts of precipitation from 1904 to 1972 are used as samples of this statistical analysis for the previous purpose and studying local ranges are limited the number of areas to two; Pusan and Mokpo area, because other areas can not give the data of more than 69 years. Normal distribution, as follows, is used for this statistical study. $$P(X)=\int_{x}^{{\infty}}f(x)dx$$ x: daily maximum amount X: maximum of x P(X): probability to exceed X value The estimates, which are the resultants of statistical analysis, can be locally compared with the real values (daily maximum amounts) by diagram, whether the former truly coincides with the latter. As a result, statistical method canot be used for the premeditation of the amount as well as timing of heavy storms because the estimates donot coincide with the real values in this analysis.

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Preparation and Evaluation of Vitamine A palmitate Dry Emulsion (비타민 A 팔미틴산 건조 유제의 제조 및 평가)

  • Lee, Jong-Pyo;Han, Kun
    • Journal of Pharmaceutical Investigation
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    • v.30 no.4
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    • pp.259-266
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    • 2000
  • Vitamin A palmitate, an oily drug which has low chemical stability and is poorly absorbed in the intestine, was formulated into a novel powdered dosage form. This is designated as a redispersible dry emulsion by freeze-drying technique. Before preparing a dry emulsion, vitamin A palmitate oil in solid in water (O/S/W) emulsion with soybean oil and coconut oil using Aerosil 200 as an emulsion stabilizer and polyoxyethylene-polyoxypropylene-blockcopolymer (Pluronic F68) as a surfactant was prepared. The resultants of the stability tests indicated that vitamin A palmitate O/S/W emulsion was improved on increasing the oil content of the formulation. The resultant dry emulsion particles have a good stabilities and free flow properties and readily released the oily droplets to form stable emulsions on rehydration. The drug releasing property from the resultant dry emulsion particles was dependent on factors such as amount of oily carrier(soybean oil) and surfactant(Pluronic F68) formulated. Above 80% of vitamin A palmitate content was released from the dry emulsion for 1 hour. It was deduced that vitamin A palmitate dry emulsion was definitely suitable for oral administration, since small droplets of vitamine A palmitate from the dry emulsion may alter the drug absorption profile resulting in bioavailability enhancement.

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Unbalanced Magnetic Forces in Rotational Unsymmetrical Transverse Flux Machine

  • Baserrah, Salwa;Rixen, Keno;Orlik, Bernd
    • Journal of Electrical Engineering and Technology
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    • v.7 no.2
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    • pp.184-192
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    • 2012
  • The torque and unbalanced magnetic forces in permanent magnet machines are resultants of the tangential, axial and normal magnetic forces, respectively. Those are in general influenced by pole-teeth-winding configuration. A study of the torque and unbalanced magnetic forces of a small flux concentrating permanent magnet transverse flux machine (FCPM-TFM) in segmented compact structure is presented in this paper. By using FLUX3D software from Cedrat, Maxwell stress tensor has been solved. Finite element (FE-) magneto static study followed by transient analysis has been conducted to investigate the influence of unsymmetrical winding pattern, in respect to the rotor, on the performance of the FCPM-TFM. Calculating the magnetic field components in the air gap has required an introduction of a 2D grid in the middle of the air gap, whereby good estimations of the forces are obtained. In this machine, the axial magnetic forces reveal relatively higher amplitudes compared to the normal forces. Practical results of a prototype motor are demonstrated through the analysis.

A study on burr generation of laser micro-hole drilling for copper foil (Copper 박막의 레이저 미세홀 가공이 버 생성에 관한 연구)

  • Oh J.Y.;Shin B.S.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.873-877
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    • 2005
  • The burr of micro drilling and micro cutting on thin metal film is a major obstacle to mass production for micro PCB boards in micro technologies of personal computing and telecom explosion. As the burr affects on the assembling process, it is necessary to study continuously on control or elimination of the burr. In order to get higher valued products, it is also needed to competitive techniques with the high resolution. In this paper, we studied experimentally the burr generation that when it is processed on the copper foil by laser in micro-hole machining. Unlike mechanical machining the burr produced on substrate is a resultants of melt and re-solidification of a melten metal which was heated and treated by laser. And higher laser energy increases the size of burr. Therefor in micro-drilling with laser, it is difficult to reduce the effects of burr for very thin metal sheets. We investigated the stale of the burr and analyzed the laser ablation Cu micro machining with respect to laser intensity and processing time.

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The G. D. Q. method for the harmonic dynamic analysis of rotational shell structural elements

  • Viola, Erasmo;Artioli, Edoardo
    • Structural Engineering and Mechanics
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    • v.17 no.6
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    • pp.789-817
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    • 2004
  • This paper deals with the modal analysis of rotational shell structures by means of the numerical solution technique known as the Generalized Differential Quadrature (G. D. Q.) method. The treatment is conducted within the Reissner first order shear deformation theory (F. S. D. T.) for linearly elastic isotropic shells. Starting from a non-linear formulation, the compatibility equations via Principle of Virtual Works are obtained, for the general shell structure, given the internal equilibrium equations in terms of stress resultants and couples. These equations are subsequently linearized and specialized for the rotational geometry, expanding all problem variables in a partial Fourier series, with respect to the longitudinal coordinate. The procedure leads to the fundamental system of dynamic equilibrium equations in terms of the reference surface kinematic harmonic components. Finally, a one-dimensional problem, by means of a set of five ordinary differential equations, in which the only spatial coordinate appearing is the one along meridians, is obtained. This can be conveniently solved using an appropriate G. D. Q. method in meridional direction, yielding accurate results with an extremely low computational cost and not using the so-called "delta-point" technique.

Static deflection of nonlocal Euler Bernoulli and Timoshenko beams by Castigliano's theorem

  • Devnath, Indronil;Islam, Mohammad Nazmul;Siddique, Minhaj Uddin Mahmood;Tounsi, Abdelouahed
    • Advances in nano research
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    • v.12 no.2
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    • pp.139-150
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    • 2022
  • This paper presents sets of explicit analytical equations that compute the static displacements of nanobeams by adopting the nonlocal elasticity theory of Eringen within the framework of Euler Bernoulli and Timoshenko beam theories. Castigliano's theorem is applied to an equivalent Virtual Local Beam (VLB) made up of linear elastic material to compute the displacements. The first derivative of the complementary energy of the VLB with respect to a virtual point load provides displacements. The displacements of the VLB are assumed equal to those of the nonlocal beam if nonlocal effects are superposed as additional stress resultants on the VLB. The illustrative equations of displacements are relevant to a few types of loadings combined with a few common boundary conditions. Several equations of displacements, thus derived, matched precisely in similar cases with the equations obtained by other analytical methods found in the literature. Furthermore, magnitudes of maximum displacements are also in excellent agreement with those computed by other numerical methods. These validated the superposition of nonlocal effects on the VLB and the accuracy of the derived equations.

Geometrical Nonlinear Analyses of Post-buckled Columns with Variable Cross-section (후좌굴 변단면 기둥의 기하 비선형 해석)

  • Lee, Byoung Koo;Kim, Suk Ki;Lee, Tae Eun;Kim, Gwon Sik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.1A
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    • pp.53-60
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    • 2009
  • This paper deals with the geometrical nonlinear analyses of post-buckled columns with variable cross-section. The objective columns having variable cross-section of the width, depth and square tapers are supported by both hinged ends. By using the Bernoulli-Euler beam theory, differential equations governing the elastica of post-buckled column and their boundary conditions are derived. The solution methods of these differential equations which have two unknown parameters are developed. As the numerical results, equilibrium paths, elasticas and stress resultants of the post-buckled columns are presented. Laboratory scaled experiments were conducted for validating the theories developed in this study.

Free Vibrations of Circular Uniform Strips Resting on Two Parameter Elastic Foundation (두 변수 탄성지반으로 지지된 원호형 등단면 띠기초의 자유진동)

  • Lee, Jong-Cheon
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.13 no.1 s.53
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    • pp.125-134
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    • 2009
  • This paper deals with the free vibrations of circular strip foundations which have uniform solid rectangular cross-section. The ground which supports circular strips was modeled as the two parameter elastic foundation. Differential equations governing the flexural-torsional free vibrations of circular strips supported by such foundation were derived, and solved numerically for obtaining the natural frequencies and mode shapes. Boundary condition of free-free ends was considered for numerical examples. Four lowest natural frequencies according to the variations of five system parameters i.e. subtended angle, depth ratio, contact ratio, elasticity ratio and soil parameter are reported in the non-dimensional forms. Also, typical mode shapes of both deformations and stress resultants are presented in the figures. Experiment was conducted for validating the theory developed in this study.

A study on the AlN crystal growth using its thin films grown on SiC substrate (SiC 기판상에 성장된 AlN 박막을 이용한 AlN 결정 성장에 관한 연구)

  • Yin, Gyong-Phil;Kang, Seung-Min
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.28 no.4
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    • pp.170-174
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    • 2018
  • AlN crystal is been developing in global site for many years and 1 inch diameter wafer was already developed but it is demanding the efforts for the better quality. On the other hand, also the 2-inch size is developing recently to reduce the unit cost for manufacturing and to use to fabrication of the UV LED chips. In this study, we tried to evaluate the possibility of bulk AlN crystals on his thin films by PVT method. The AlN thin film was grown on SiC single crystal 2" wafer by HVPE method. We successfully grew AlN bulk crystal of a thickness of 7 mm using its thin film of a thickness of $10{\mu}m$ as a seed crystal. The resultants of AlN crystals were identified by metallurgical microscope, optical stereographic microscope and DCXRD measurement.