• Title/Summary/Keyword: equivalent mass

Search Result 544, Processing Time 0.023 seconds

Petrological Study on the Jecheon granite mass (제천(提川) 화강암체(花崗岩體)에 대(對)한 암석학적(岩石學的) 연구(硏究))

  • Kim, Yong Jun
    • Economic and Environmental Geology
    • /
    • v.12 no.3
    • /
    • pp.115-126
    • /
    • 1979
  • The Jecheon granite mass has turtle-shape exposure of about $190km^2$ at vicinity of Jecheon-eup, and is elongated in the direction of NEE-SWW. It discordantly intrudes the Bakdalryong metamorphic rocks and the great limestone series(Samtaesan and Hungwolri formation) which belong to the pre-Cambrian and Ordovician, respectively. The mass is composed of five facies of different grain size; texture and charecteristic minerals. The five facies are (1) coarse grained biotite granodiorite, (2) fine grained hornblende biotite granodiorite, (3) coarse grained pink feldspar granodiorite (4) leucogranite, and (5) porphyritic biotite granite. The mutual relationship between each facies is intrusion in (1)-(2) and (2)-(3), but unknown in (3)-(4) and (4)-(5). 22 modal analyses and and 10 chemical analyses on more than a hundred of representative samples taken from the mass are listed as tables. Triangular plot of modal and normative Q-Kf-Pl of this mass show a continuous differentiation products from certain common magma by change of chemical composition and anorthite contents in plagioclase. The metamorphic facies of contact aureole in surrounding rocks adjacent to the granite body are corresponded to hornblende hornfels facies with mineral assemblages of wollastonite-diopside-calcite in calcareous rocks, and of quartz-biotite-muscovite-cordierite in argillaceous rocks. Variation of silica versus oxides of major elements shows that the mass is similar to the trend of Daly's average basalt-andesite-dacite-rhyolite which shows the trend of the fractional crystallization of magma, and is equivalent to the calc-alkali rock series by Peacock. AMF diagram shows that Jecheon granite mass is equivalent to normal diffentiation products such as skaergaard intrusion. The above evidences suggest that the Jecohon granite mass is normal differentiation products formed by fractional crystallization under relatively slow cooling condition.

  • PDF

Analytical Formula for the Equivalent Mohr-Coulomb Strength Parameters Best-fitting the Generalized Hoek-Brown Criterion in an Arbitrary Range of Minor Principal Stress (임의 최소주응력 구간에서 일반화된 Hoek-Brown 파괴기준식을 최적 근사하는 등가 Mohr-Coulomb 강도정수 계산식)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
    • /
    • v.29 no.3
    • /
    • pp.172-183
    • /
    • 2019
  • The generalized Hoek-Brown (GHB) failure criterion developed by Hoek et al. (2002) is a nonlinear function which defines a stress condition at failure of rock mass. The relevant strength parameter values are systematically determined using the GSI value. Since GSI index is a value quantifying the condition of in-situ rock mass, the GHB criterion is a practical failure condition which can take into the consideration of in-situ rock mass quality. Considering that most rock mechanics engineers are familiar with the linear Mohr-Coulomb criterion and that many rock engineering softwares incorporate Mohr-Coulomb criterion, the equations for the equivalent friction angle and cohesion were also proposed along with the release of the GHB criterion. The proposed equations, however, fix the lower limit of the minor principal stress range, where the linear best-fitting is performed, with the tensile strength of the rock mass. Therefore, if the tensile stress is not expected in the domain of analysis, the calculated equivalent friction angle and cohesion based on the equations in Hoek et al. (2002) could be less accurate. In order to overcome this disadvantage of the existing equations for equivalent friction angle and cohesion, this study proposes the analytical formula which can calculate optimal equivalent friction angle and cohesion in any minor principal stress interval, and verified the accuracy of the derived formula.

A New Look at Changma (장마의 재조명)

  • Seo, Kyong-Hwan;Son, Jun-Hyeok;Lee, June-Yi
    • Atmosphere
    • /
    • v.21 no.1
    • /
    • pp.109-121
    • /
    • 2011
  • This study revisits the definition of Changma, which is the major rainy season in Korea and corresponds to a regional component of the East Asian summer monsoon system. In spite of several decades of researches on Changma, questions still remain on many aspects of Changma that include its proper definition, determination of its onset and retreat, and relevant large-scale dynamical and thermodynamical features. Therefore, this study clarifies the definition of Changma (which is a starting point for the study of interannual and interdecadal variability) using a basic concept of air mass and front by calculating equivalent potential temperature (${\theta}_e$) that considers air temperature and humidity simultaneously. A negative peak in the meridional gradient of this quantity signifies the approximate location of Changma front. This front has previously been recognized as the boundary between the tropical North Pacific air mass and cold Okhotsk sea air mass. However, this study identifies three more important air masses affecting Changma: the tropical monsoon air mass related to the intertropical convergence zone over Southeast Asia and South China Sea, the tropical continental air mass over North China, and intermittently polar continental air mass. The variations of these five air masses lead to complicated evolution of Changma and modulate intensity, onset and withdrawal dates, and duration of Changma on the interannual time scale. Importantly, use of ${\theta}_e$, 500-hPa geopotential height and 200 hPa zonal wind fields for determining Changma onset and withdrawal dates results in a significant increase (up to~57%) in the hindcast skill compared to a previous study.

An Equivalent Bell and Beat Period Control in the Sacred Bell of the Great King Seongdeok (성덕대왕신종의 등가 종과 맥놀이 주기 조절)

  • Lee, Joong-hyeok;Kim, Seock-hyun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2013.04a
    • /
    • pp.472-475
    • /
    • 2013
  • This study proposes an equivalent bell model for the Sacred Bell of the Great King Seongdeok An equivalent bell model bas the modal property of the real bell and it consists of an axi-symmetric bell body and a point mass, The bell model is constructed by the finite element analysis based upon the theory of a revolutionary shell. Using the equivalent bell model. the beat period can be controlled by decreasing the thickness of local area. This study aims at showing a beat period control method for a large bell having the similar size to the Sacred Bell of the Great King Seongdeok.

  • PDF

A Study on the Equivalent Model of the Support Structure for Rotordynamic Analysis (회전축계의 진동해석을 위한 지지구조물의 등가모델에 관한 연구)

  • 최복록;박진무
    • Journal of KSNVE
    • /
    • v.10 no.1
    • /
    • pp.153-159
    • /
    • 2000
  • This paper presents a new method for including the dynamic stiffness of the stationary parts in rotordynamic analysis. As a consequence of the support dynamics, critical speeds are varied and/or additional critical speeds are introduced. Therefore, dynamic effects of the support are often significant in high speed turbomachinery, but most of analysis has considered the support as a rigid body or a simple structure. The proposed method is based on the coupled characteristics of the driving point and transfer frequency response functions of the support system to model the equivalent spring-mass series in finite element analysis. To demonstrate the applicability of the simulation procedures provided, it is applied to the rotor model of the double suction centrifugal pump. Results of the suggested equivalent-support rotor model including coupled effects agree well with the entire pump model.

  • PDF

A Comparison Study of Equivalent Strut Models for Seismic Performance Evaluation of Masonry-Infilled Frame (조적채움벽 골조의 내진성능평가를 위한 등가 스트럿 모델의 비교연구)

  • Yu, EunJong;Kim, MinJae;Jung, DaeGye
    • Journal of the Earthquake Engineering Society of Korea
    • /
    • v.18 no.2
    • /
    • pp.79-87
    • /
    • 2014
  • Masonry-infilled walls have been used in reinforced concrete(RC) frame structures as interior and exterior partition walls. Since these walls are considered as nonstructural elements, they were only considered as additional mass. However, infill walls tend to interact with the structure's overall strength, rigidity, and energy dissipation. Infill walls have been analyzed by finite element method or transposed as equivalent strut model. The equivalent strut model is a typical method to evaluate masonry-infilled structure to avoid the burden of complex finite element model. This study compares different strut models to identify their properties and applicability with regard to the characteristics of the structure and various material models.

Numerical Tests of Large Mass Method for Stress Calculation of Euler-Bernoulli Beams Subjected to Support Accelerations (지지점 가속도에 의해 가진되는 보의 응력계산에 대한 거대질량법의 정확도)

  • Kim, Yong-Woo;Choi, Nam Seok;Jhung, Myung Jo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2013.04a
    • /
    • pp.188-193
    • /
    • 2013
  • The large mass method for dynamic analysis of statically determinate beams subjected to in-phase support motions is justified by showing that the equation of motion of the beams under consideration is equivalent to that of large mass model of the beam when an appropriate large mass ratio is employed. The accuracy of the stress responses based on the beam large mass method is investigated through careful numerical tests. The numerical results are compared to analytic solutions and the comparison shows that the large mass method yields not only the time history of motion but also the distributions of bending moment and shear force accurately.

  • PDF

A decoupling FEM for simulating near-field wave motion in two-phase media

  • Chen, S.L.;Liao, Z.P.;Chen, J.
    • Structural Engineering and Mechanics
    • /
    • v.25 no.2
    • /
    • pp.181-200
    • /
    • 2007
  • A decoupling technique for simulating near-field wave motions in two-phase media is introduced in this paper. First, an equivalent but direct weighted residual method is presented in this paper to solve boundary value problems more explicitly. We applied the Green's theorem for integration by parts on the equivalent integral statement of the field governing equations and then introduced the Neumann conditions directly. Using this method and considering the precision requirement in wave motion simulation, a lumped-mass FEM for two-phase media with clear physical concepts and convenient implementation is derived. Then, considering the innate attenuation character of the wave in two-phase media, an attenuation parameter is introduced into Liao's Multi-Transmitting Formula (MTF) to simulate the attenuating outgoing wave in two-phase media. At last, two numerical experiments are presented and the numerical results are compared with the analytical ones demonstrating that the lumped-mass FEM and the generalized MTF introduced in this paper have good precision.

Dynamic Analysis of the Power Transmission System in an Industrial Robot (산업용 로봇 손목의 동력 전달계에 대한 동특성 해석)

  • Kim, Woo-Hyung;Chung, Jin-Tai
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2008.04a
    • /
    • pp.150-155
    • /
    • 2008
  • Dynamic characteristics of a wrist power transmission examine closely with mass property, to present a model which is able to induce the vibration is ultimately the purpose. A robot wrist power transmission for analysis model gets the mass property through the approach to be the experimental. A bearing equivalent stiffness which supports the axis and a gear contact equivalent stiffness are determined by the simplicity analysis model compared the result of the experiment. We calculate the vibration tendency of the robot wrist power transmission by an analysis tool which is called the RecurDyn. We compared it with a signal analysis experiment's which a robot operation happens which is based on the ambient noise.

  • PDF

Dynamic Equivalent Continuum Modeling of a Box-Beam Typed Wing (Box-Beam 형상 날개의 동적 등가연속체 모델링에 관한 연구)

  • 이우식;김영수
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.17 no.11
    • /
    • pp.2704-2710
    • /
    • 1993
  • A simple and straightforward method is introduced for developing continuum beam-rod model of a box-beam typed aircraft wing with composite layered skin based on "energy equivalence." The equivalent continuum structral properties are obtained from the direct comparison of the reduced stiffness and mass matrices for box-beam typed wing with those for continuum beam-rod model. The stiffness and mass matrices are all represented in terms of the continuum degrees-of freedom defined in this paper. The finite-element method. The advantage of the present continuum method is to give every continuum structural properties including all possible coupling terms which represent the couplings between different deformations. To evaluate the continuum method developed in this paper, free vibration analyses for both continuum beam-rod and box-beam are conducted. Numerical tests show that the present continuum method gives very reliable structural and dynamic properties compared to the results by the conventional finite-element analysis. analysis.