• Title/Summary/Keyword: Non-dimensional ratio

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Three-Dimensional Vibration Analysis of Cantilevered Laminated Composite Plates (캔틸레버 복합 적층판의 3차원 진동해석)

  • 김주우;정희영
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.3
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    • pp.299-308
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    • 2001
  • This paper presents the three-dimensional (3-D) study of the natural vibration of cantilevered laminated composite plates. The Ritz method is used to obtain stationary values of the associated Lagrangian functional with displacements approximated by mathematically complete polynomials satisfying the boundary conditions at the clamped edge exactly. The accuracy of the 3-D model is established through a convergence study of non-dimensional frequencies followed by a comparison of the converged 3-D solutions with analytical and experimental findings in the existing literature. A wide scope of 3-D frequency results explain the influence of a number of geometrical and material parameters for cantilevered laminated plates, namely aspect ratio (a/b), width-to-thickness ratio (a/h), orthotropy of material, number of plies (NP), fiber orientation angle(θ), and stacking sequence.

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Three-dimensional changes in lip vermilion morphology of adult female patients after extraction and non-extraction orthodontic treatment

  • Liu, Zhi-Yu;Yu, Jie;Dai, Fan-Fan;Jiang, Ruo-Ping;Xu, Tian-Min
    • The korean journal of orthodontics
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    • v.49 no.4
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    • pp.222-234
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    • 2019
  • Objective: To investigate the three-dimensional lip vermilion changes after extraction and non-extraction orthodontic treatment in female adult patients and explore the correlation between lip vermilion changes and incisor changes. Methods: Forty-seven young female adult patients were enrolled in this study (skeletal Class III patients were excluded), including 34 lip-protruding patients treated by extraction of four first premolars (18 patients requiring mini-implants for maximum anchorage control and 16 patients without mini-implants) and 13 patients requiring non-extraction treatment. Nine angles, seven distances, and the surface area of the lip vermilion were measured by using pre- and post-treatment three-dimensional facial scans. Linear and angular measurements of incisors were performed on lateral cephalograms. Results: There were no significant changes in the vermilion measurements in the non-extraction group. The vermilion angle, vermilion height, central bow angle, height/width ratio, and vermilion surface area decreased significantly after the orthodontic treatment in the extraction groups, but the upper/lower vermilion proportion remained unchanged. Significant correlations were found between the changes in incisor position and those in vermilion angles, vermilion height, and surface area. Conclusions: Extraction of the four first premolars probably produced an aesthetic improvement in lip vermilion morphology. However, the upper/lower vermilion proportion remained unchanged. The variations in the vermilion were closely related to incisor changes, especially the upper incisor inclination changes.

Planar Free Vibrations of Catenary Arcs (현수 곡선부재의 면내 자유진동 해석)

  • Lee, Byoung Koo;Oh, Sang Jin;Suh, Ju Suhk
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.10 no.3
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    • pp.19-28
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    • 1990
  • The main purpose of this paper is to present both fundamental and some higher natural frequencies of catenary arcs. The differential equations governing planar free vibrations for these arcs are derived, in which the rotatory inertia is included, as non-dimensional forms and solved numerically to obtain frequencies and mode shapes. The hinged-hinged and clamped-clamped end constraints are applied in numerical examples. The lowest four natural frequencies are reported as the functions of non -dimensional system parameters; the slenderness ratio and the rise to span length ratio. The effects of rotatory inertia on natural frequencies are reported and some typical mode shapes are also presented.

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Effects of Material Characteristics on the Dynamic Response of the Reinforced Concrete Slabs (재료 특성이 철근 콘크리트 슬래브의 동적 거동에 미치는 영향)

  • Oh, Kyung-Yoon;Cho, Jin-Goo;Hong, Chong-Hyun
    • Journal of The Korean Society of Agricultural Engineers
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    • v.49 no.4
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    • pp.43-49
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    • 2007
  • The reinforced concrete slab is one of main structure members in the construction industry sector. However, most of researches regarding to RC slabs have been focused on two-dimensional Mindlin-type plate element on the basis of laminated plate theory since three-dimensional solid element has a lot of difficulties in finite element formulation and costs in CPU time. In reality, the RC slabs are subjected to dynamic loads like a heavy traffic vehicle load, and thus should insure the safety from the static load as well as dynamic load. Once we can estimate the dynamic behaviour of RC slabs exactly, it will be very helpful for design of it. In this study, the 20-node solid element has been used to analyze the dynamic characteristics of RC slabs with clamped edges. The elasto-visco plastic model for material non-linearity and the smeared crack model have been adopted in the finite element formulation. The applicability of the proposed finite element has been tested for dynamic behaviour of RC slabs with respect to characteristics of concrete materials in terms of cracking stress, crushing strain, fracture energy and Poisson's ratio. The effect on dynamic behaviour is dependent on not crushing strain but cracking stress, fracture energy and Poisson's ratio. In addition to this, it is shown the damping phenomenon of RC slabs has been identified from the numerical results by using Rayleigh damping.

Review on the Windship: the Analysis of Hull Form Characteristics with Tall Ship (풍력선박에 대한 고찰: 범선을 통한 선형 특성 해석)

  • June Lee;Jun Soo Park;Sung-chul Shin;Il Ryong Park
    • Journal of the Society of Naval Architects of Korea
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    • v.61 no.3
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    • pp.185-199
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    • 2024
  • Global warming impacts every corner of human life. Maritime transportation and shipbuilding industries are no exception. Recent counteraction in maritime industries is accelerating to meet the zero emission by 2050. Various alternative energy sources have been studied, and recent developments in Europe show that the windship, as a proven technology, can be an attractive candidate to solve the problem. In this paper, as the alternative transportation option, to infer the performances of modern windships, the non-dimensional ratios of past tall ships and windships are studied and reviewed. In addition, the ratios are compared to estimate the position of current and future windships under consideration. It is found that regarding the ratio distributions, the current windships being planned can be either wind-assisted propulsion ships or less fully functional windships than the past tall ships.

A Study on the Flow Characteristics of Newtonian Fluid and Non-Newtonian Fluid in Dividing Tubes (분기관내 뉴턴 유체 및 비뉴턴 유체의 유동특성에 관한 연구)

  • Ha, O.N.;Chun, U.H.;Kim, G.;Lee, B.K.;Lee, H.S.;Yun, C.H.;Lee, J.I.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.6
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    • pp.113-131
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    • 1998
  • The objective of the present study is to investigate the characteristics of the dividing flow in the laminar flow region. Using glycerine water solution(wt43%) for Newtonian fluid and the polymer of viscoelastic fluid(500wppm) for non-Newtonian fluid, this research investigates the flow state of the dividing tube in steady laminar flow region of the two dimensional dividing tube by measuring the effect of Reynolds number, dividing angle, and the flow rate ratio on the loss coefficient. In T- and Y-type tubes, the loss coefficients of the Newtonian fluid decreases in constant rate when the Reynolds number is below 100. The effect of the flow rate ratio on the loss coefficients is negligible. But when the Reynolds number is over 100, the loss coefficient with various flow rate ratios approach an asymptotic value. The loss coefficient of the non-Newtonian fluid for different the Reynolds number shows the similar tendency of the Newtonian fluid. And when the Reynolds number is over 300, the loss coefficient is approximately 1.03 regardless of flow rate ratio or the dividing angle. The aspect ratio does hardly influence the reattachment length and the loss coefficient of both Newtonian and non Newtonian fluid. The loss coefficient decreases as the Reynolds number increases. The loss coefficient of Newtonian fluid is larger than that of non-Newtonian fluid.

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Sound Radiation From Infinite Beams Under the Action of Harmonic Point Forces (조화집중하중을 받는 무한보에서의 음향방사)

  • 김병삼;홍동표
    • Journal of KSNVE
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    • v.2 no.1
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    • pp.33-39
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    • 1992
  • The problem of sound radiation from infinite elastic beams under the action of harmonic point forces is studied. The reaction due to fluid loading on the vibratory response of the beam is taken into account. The beam is assumed to occupy the plane z = 0 and to be axially infinite. The beam material and the elastic foundation re assumed to be lossless and Bernoulli-Euler beam theory including a tension force (T), damping coefficient (C) and stiffness of foundation $(\kappa_s)$ will be employed. The non-dimensional sound power is derived through integration of the surface intensity distribution over the entire beam. The expression for sound power is integrated numerically and the results are examined as a function of wavenumber ratio$(\gamma)$ and stiffness factor$(\Psi)$. Here, our purpose is to explain the response of sound power over a number of non-dimensional parameters describing tension, stiffness, damping and foundation stiffness.

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Sound Radiation From Infinite Beams Under the Action of Harmonic Moving Line Forces (조화분포이동하중을 받는 무한보에서의 음향방사)

  • 김병삼;이태근;홍동표
    • Journal of KSNVE
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    • v.3 no.3
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    • pp.245-251
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    • 1993
  • The problem of sound radiation from infinite elastic beams under the action on harmonic moving line forces is studies. The reaction due to fluid loading on the vibratory response of the beam is taken into account. The beam is assumed to occupy the plane z=0 and to be axially infinite. The beam material and elastic foundation are assumed to be lossless and Bernoulli-Euler beam theory including a tension force (T), damping coefficient (C) and stiffness of foundation $(\kappa_s)$ will be employed. The non-dimensional sound power is derived through integration of the surface intensity distribution over the entire beam. The expression for sound power is integrated numerically and the results examined as a function of Mach number (M), wavenumber ratio$(\gamma{)}$ and stiffness factor $(\Psi{)}$. Here, our purpose is to explain the response of sound power over a number of non-dimensional parameters describing tension, stiffness, damping and foundation stiffness.

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One-dimensional modeling of flat sheet casting or rectangular Fiber spinning process and the effect of normal stresses

  • Kwon, Youngdon
    • Korea-Australia Rheology Journal
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    • v.11 no.3
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    • pp.225-232
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    • 1999
  • This study presents 1-dimensional simple model for sheet casting or rectangular fiber spinning process. In order to achieve this goal, we introduce the concept of force flux balance at the die exit, which assigns for the extensional flow outside the die the initial condition containing the information of shear flow history inside the die. With the Leonov constitutive equation that predicts non-vanishing second normal stress difference in shear flow, we are able to describe the anisotropic swelling behavior of the extrudate at least qualitatively. In other words, the negative value of the second normal stress difference causes thickness swelling much higher than width of extrudate. This result implies the importance of choosing the rheological model in the analysis of polymer processing operations, since the constitutive equation with the vanishing second normal stress difference is shown to exhibit the characteristic of isotropic swelling, that is, the thickness swell ratio always equal to the ratio in width direction.

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The Compressible flow structure behind the exit of a two-dimensional supersonic micro-nozzle (2차원 소형 초음속 노즐 하류의 압축성 유동 구조 해석)

  • Kwon, Soon-Duk;Kim, Sung-Cho;Kim, Jeong-Soo;Choi, Jong-Wook
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2006.11a
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    • pp.323-326
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    • 2006
  • This paper presents the computational results for the two-dimensional compressible non-reacted flow in a converging-diverging micro thrust nozzle of which the ratio of exit to throat width (0.541 in.) is 1.8. The RNG model is applied to calculate the turbulence by loading the standard coefficients. The results agreed very well with the experiments in the view of the shock structure and the pressure distribution at the various pressure ratios between the stagnation and the environmental states. The plume structures are also discussed on the view of the shock-cell structure.

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