• Title/Summary/Keyword: Equivalent Mass

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Beat Control Method Using the Finite Element Analysis of an Equivalent Ring (등가 링의 유한요소해석을 이용한 맥놀이 조절법)

  • Kim, Seock-Hyun;Cui, Cheng-Xun
    • The Journal of the Acoustical Society of Korea
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    • v.27 no.7
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    • pp.365-371
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    • 2008
  • In this study, beat control method using an equivalent ring model is proposed to control beat period of a slightly asymmetric ring. Slight asymmetry in a ring generates mode pair and the interaction of the mode pair makes beat in vibration and sound. In a ring, as a simplified bell type structure, mode data are measured and an equivalent ring is determined so that the measured mode condition is satisfied. By the finite element analysis on the equivalent ring, changes of mode pair condition are predicted when local mass is attached or the local thickness is decreased. The predicted results are compared with the experimental result and the validity of the proposed method is verified.

Size Optimization of a Rod Using Frequency Response Functions of Substructures (부분 구조의 주파수 응답 함수를 이용한 봉의 치수 최적화)

  • Yoon, Hong Geun;Lee, Jin Woo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.10
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    • pp.905-913
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    • 2017
  • In this work, a method of size optimization is proposed to maximize the natural frequency of a rod that consists of a hidden shape in one part and an exposed shape in the other. The frequency response function of a rod composed of two parts is predicted by using the frequency response functions of each of the parts instead of the shapes of the parts. The mass and stiffness matrices of the rod are obtained by using the mass and stiffness matrices of the equivalent vibration systems, which are obtained by applying the experimental modal analysis method to the frequency response functions of the parts. Through several numerical examples, the frequency response function obtained by using the proposed method is compared with that of a rod to validate the prediction method based on equivalent vibration systems. A size optimization problem is formulated for maximizing the first natural frequency of a combined rod, which is replaced with an equivalent vibration system, and a rod structure is optimized by using an optimization algorithm.

A Study on Estimating Shear Strength of Continuum Rock Slope (연속체 암반비탈면의 강도정수 산정 연구)

  • Kim, Hyung-Min;Lee, Su-gon;Lee, Byok-Kyu;Woo, Jae-Gyung;Hur, Ik;Lee, Jun-Ki
    • Journal of the Korean Geotechnical Society
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    • v.35 no.5
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    • pp.5-19
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    • 2019
  • Considering the natural phenomenon in which steep slopes ($65^{\circ}{\sim}85^{\circ}$) consisting of rock mass remain stable for decades, slopes steeper than 1:0.5 (the standard of slope angle for blast rock) may be applied in geotechnical conditions which are similar to those above at the design and initial construction stages. In the process of analysing the stability of a good to fair continuum rock slope that can be designed as a steep slope, a general method of estimating rock mass strength properties from design practice perspective was required. Practical and genealized engineering methods of determining the properties of a rock mass are important for a good continuum rock slope that can be designed as a steep slope. The Genealized Hoek-Brown (H-B) failure criterion and GSI (Geological Strength Index), which were revised and supplemented by Hoek et al. (2002), were assessed as rock mass characterization systems fully taking into account the effects of discontinuities, and were widely utilized as a method for calculating equivalent Mohr-Coulomb shear strength (balancing the areas) according to stress changes. The concept of calculating equivalent M-C shear strength according to the change of confining stress range was proposed, and on a slope, the equivalent shear strength changes sensitively with changes in the maximum confining stress (${{\sigma}^{\prime}}_{3max}$ or normal stress), making it difficult to use it in practical design. In this study, the method of estimating the strength properties (an iso-angle division method) that can be applied universally within the maximum confining stress range for a good to fair continuum rock mass slope is proposed by applying the H-B failure criterion. In order to assess the validity and applicability of the proposed method of estimating the shear strength (A), the rock slope, which is a study object, was selected as the type of rock (igneous, metamorphic, sedimentary) on the steep slope near the existing working design site. It is compared and analyzed with the equivalent M-C shear strength (balancing the areas) proposed by Hoek. The equivalent M-C shear strength of the balancing the areas method and iso-angle division method was estimated using the RocLab program (geotechnical properties calculation software based on the H-B failure criterion (2002)) by using the basic data of the laboratory rock triaxial compression test at the existing working design site and the face mapping of discontinuities on the rock slope of study area. The calculated equivalent M-C shear strength of the balancing the areas method was interlinked to show very large or small cohesion and internal friction angles (generally, greater than $45^{\circ}$). The equivalent M-C shear strength of the iso-angle division is in-between the equivalent M-C shear properties of the balancing the areas, and the internal friction angles show a range of $30^{\circ}$ to $42^{\circ}$. We compared and analyzed the shear strength (A) of the iso-angle division method at the study area with the shear strength (B) of the existing working design site with similar or the same grade RMR each other. The application of the proposed iso-angle division method was indirectly evaluated through the results of the stability analysis (limit equilibrium analysis and finite element analysis) applied with these the strength properties. The difference between A and B of the shear strength is about 10%. LEM results (in wet condition) showed that Fs (A) = 14.08~58.22 (average 32.9) and Fs (B) = 18.39~60.04 (average 32.2), which were similar in accordance with the same rock types. As a result of FEM, displacement (A) = 0.13~0.65 mm (average 0.27 mm) and displacement (B) = 0.14~1.07 mm (average 0.37 mm). Using the GSI and Hoek-Brown failure criterion, the significant result could be identified in the application evaluation. Therefore, the strength properties of rock mass estimated by the iso-angle division method could be applied with practical shear strength.

Study on the Dynamic Behaviors of Engine Bearing with the Inertia Effect of Crank Pin Journal (크랭크 핀의 질량관성을 고려한 엔진 베어링의 틈새 거동 연구)

  • Jang Siyoul
    • Tribology and Lubricants
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    • v.21 no.1
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    • pp.39-45
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    • 2005
  • Investigation of the mass effect on the journal traces in the clearance of engine bearing has been performed for better design of mass distribution of crank system components such as crank pin, piston, con-rod, balance weight, crank throw weight, etc. as well as for better oil reaction behaviors to the applied forces from the cylinder pressures on the bearing. In this preliminary study, crank pin traces in the engine bearing clearance are computed by varying the equivalent magnitude of crank pin mass that includes the masses of crank pin, piston, con-rod. etc.. while most previous studies regarding journal traces in the bearing clearance neglect the inertia effects of crank pin mass. Although the inertia effect of pill mass is negligibly small compared to viscous force by ${\pi}bearing$ theory, it is found that it gives a great amount of influences on the journal traces in full bearing computation $(2\pi\;bearing\;theory)$ under the dynamic loading conditions.

Theoretical Construction of a Floating-Mass (부동질량의 이론적 구성)

  • 이상배
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.16 no.1
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    • pp.22-25
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    • 1979
  • The mechanical floating-mass which is analogous to an electrical floating- capacitance may not come across because a mass element in a mechanical network must be attracted to rho ground which is the reference point. In this study the mechanical floating-mass is fonstructed by employing two simple support levers, one link, one mass, and four frictionless hearings. It also shows that the mechanical device can be used to give various equivalent masses by altering the arm ratio of the levers.

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A Study on Dynamic Design of Current Collection System for the Korean High Speed Train (한국형 고속전철 집전 시스템의 동적설계에 관한 연구)

  • Hur, Shin;Kyung, Jin-Ho;Song, Dahl-Ho
    • Proceedings of the KSR Conference
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    • 1998.11a
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    • pp.445-452
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    • 1998
  • The dynamic performance design of catenary-pantograph system which collects current for the next generation Korean high speed train(KHST) was considered. Used was the same dynamic model of the catenary-pantograph system as that of TGV-K which will be introduced for Kyung-bu corridor. Using the model , sensitivity analysis fer design variables were made to improve dynamic performance of KHST system. The results of sensitivity analysis and performance improvement are as follows: (1) It was found that aerodynamic force, tension of contact wire, mass of contact strip, mass of supporting contact strip, mass of clamp, mass of steady arm, and stiffness of plunger were the design variables most influencing the dynamic performance of the system. (2) Pantograph with reductions of 20% aerodynamic force, 34% weight of supporting contact strip, 20% spring constant of plunger, and 34% equivalent mass of steady arm was very possible system for the KHST which will be running at maximum operating speed 350 km/h.

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Efficient Vibration Analysis of a Biaxial Hollow Slab Having Hexahedron Balls with Rounded Corner (모서리가 둥근 직육면체 중공볼을 가지는 2방향 중공슬래브의 효율적인 진동해석)

  • Park, Hyun-Jae;Kim, Min-Gyun;Lee, Dong-Guen;Park, Yong-Koo;Kim, Hyun-Su
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.5
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    • pp.421-428
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    • 2009
  • In this study, an equivalent plate element model has been developed for an efficient vibration analysis of a biaxial hollow slab. To this end, equivalent mass and stiffness of equivalent plate element models corresponding to solid element models of example biaxial hollow slabs were calculated. To verify the efficiency and accuracy of the equivalent plate element models, structural analyses of example structures were performed. Analytical results showed that the natural frequencies of the equivalent plate element models were very close to those of the solid element models. Time history analyses of example biaxial hollow slabs subjected to walking load were conducted using the equivalent plate element models and the solid element models, and the results were compared. It could be seen based on the analytical results that the equivalent plate element model could provide very accurate results compared to the solid element model with significantly reduced analysis time.

Natural vibration analysis of diagonal networks

  • Chai, W.S.;Li, Y.;Chan, H.C.
    • Structural Engineering and Mechanics
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    • v.6 no.5
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    • pp.517-527
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    • 1998
  • This paper describes an exact method of analysis for natural vibration of diagonal networks by considering an equivalent cyclic periodic structure and adopting the double U-transformation technique. Both a lumped mass system and a distributed mass system are considered to investigate the diagonal networks. The exact solution for the frequency equations and the natural modes of the networks can be derived. As numerical examples, square diagonal cable networks with different meshes are worked out.

Dynamic Response Analysis of Stiffened Plates Subjected Plates Subjected to Moving Loads (이동하중을 받는 보강판의 동응답해석)

  • 정정훈;정태영
    • Journal of KSNVE
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    • v.3 no.1
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    • pp.57-63
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    • 1993
  • The dynamic response of stiffened rectangular plate subjected to a concentrated force or mass moving at constant speed is analyzed by using finite- element method. Stiffened plates are modelled as an assembly of isotropic thin plate elements and equivalent Euler beam ones, in which the beam elements represent the stiffener effects concentrated at the attached lines of stiffeners to the plates. The Newmark's time integration method is used to obtain the dynamic response of stiffened plates. Numerical examples are given to verify the validity of the presented method and also to investigate the effects of speed and moving mass on the dynamic characteristics of stiffened plates.

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A Note on the Two-Dimensional Added Mass Moment of Inertia in Torsional Vibration of Cylinders of Curvilinear-Element Sections with Chines. (배골형단면(背骨型斷面) 주상체(柱狀體)의 자유수면(自由水面)하에서의 비틂진동(振動)에 대(對)한 이차원적(二次元的) 부가관성(附加慣性)모우먼트의 계산(計算))

  • Key-P.,Rhee;Y.S.,Yang
    • Bulletin of the Society of Naval Architects of Korea
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    • v.11 no.2
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    • pp.41-44
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    • 1974
  • A calculation of the two dimensional added mass moment of inertia for the Kim's chine form sections is made with a special consideration of a location of a axis of rotation. The results are compared with those of Lewis form section equivalent to the above chine form sections calculated by Kumai.

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