• Title/Summary/Keyword: Hertzian

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Cracking Behavior Under Contact Stress in Densely Coated Porous Engineering Ceramics (치밀층으로 코팅된 다공성 엔지니어링 세라믹스에서의 접촉응력에 의한 균열 거동)

  • Kim, Sang-Kyum;Kim, Tae-Woo;Kim, Do-Kyung;Lee, Kee-Sung
    • Journal of the Korean Ceramic Society
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    • v.42 no.8 s.279
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    • pp.554-560
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    • 2005
  • The engineering ceramic needs the properties of high strength, hardness, corrosion-resistance and heat-resistance in order to withstand thermal shock or applied nonuniform stresses without failure. The densely coated porous ceramics can be used for machine component, electromagnetic component, bio-system component and energy-system component by their high-performances from superior coating properties and light-weight characteristics due to the structure including pore by itself. In this study we controlled the porosity of silica and alumina, $8.2\~25.4\%$ and $23.4\~36.0\%$, respectively, by the control of sintering temperature and starting powder size. We made bilayer structures, consisting of a transparent glass coating layer bonded to a thick substrate of different porous ceramics by a thin layer of epoxy adhesive, facilitated observations of crack initiation and propagation. The elastic modulus mismatch could be controlled using different porous ceramics as the substrate layer. Then we applied 150 N force using WC sphere with a radius of 3.18 mm by Hertzian indentation. As a result, the crack initiation in the coating layer was delayed at lower porosity in the substrate layer, and the damage in the coating layer was relatively smaller at the bilayer structure coated on higher elastic substrate.

Radiation Characteristics of Microstrip Antenna on the Superstrate-Loaded Cylindrical Bianisotropic Substrated (덮개층을 갖는 원통형 쌍이방성 기판 위의 마이크로스트립 안테나의 방사특성)

  • Yoon, Joong-Han;Lee, Sang-Mok;An, Gyoo-Chul;Kwak, Kyung-Sup
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.36D no.11
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    • pp.1-11
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    • 1999
  • In this paper, the effects of superstrate on the radiation patterns of dipole on cylindrical bianisotropic substrates were studied. Special constitutive relations are used to describe the bianisotropic properties of a material, such that the Green's function can be formulated. Electromagnetic fields and boundary conditions in spectral region were used to find Green's function of the spectral representation and electromagnetic fields in space region were derived through inverse Fourier transformations of fields in spectral region using asymptotic formula for far zone. Radiation characteristics of axial Hertzian dipole on superstrate loaded cylindrical bianisotropic substrates were obtained. The effects of bianisotropic superstrate on the radiation properties of the antennas including beam scanning, directivity enhancement, dark-region illumination, and on horizon radiation, are discussed.

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Quasi-Plasticity of $Si_3N_4$-BN Composites (질화규소-질화붕소 복합재료의 준소성 특성)

  • Lee, Gi-Seong;Lee, Seung-Geon;Kim-kim, Do-Gyeong
    • Korean Journal of Materials Research
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    • v.8 no.3
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    • pp.200-205
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    • 1998
  • The nature, degree, and evolution of contact damage from Hertzian contacts in silicon nitride-boron nitride composites($Si_3N_4-BN$) are investigated as a function of boron nitride content. The strong deviations of indentation stress-strain from elastic response indicate exceptional plasticity in $Si_3N_4-BN$. The absence of ring cracks or cone cracks on the surfaces is observed, indicating a high damage tolerance. Subsurface quasi- plastic deformation by shear stress is considerable and microdamage is widely distributed within the region below the contact. Shear faults associated with local microfailures play a precursor role in plasticity of this material. When boron nitride content increases, $Si_3N_4-BN$ becomes softer and more quasi-plastic.

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Co-simulation of MultiBody Dynamics and Plenteous Sphere of Contacted Particles Using NVIDIA GPGPU (NVIDIA 의 GPGPU 를 이용한 수 많은 구형 접촉 입자가 포함된 다물체 동역학 해석)

  • Park, Ji-Soo;Yoon, Joon-Shik;Choi, Jin-Hwan;Rhim, Sung-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.4
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    • pp.465-474
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    • 2012
  • In this study, a dynamic simulation model that considers many spherical particles and multibody dynamics (MBD) entities is developed. Plenteous spherical particles are solved using the Discrete Element Method (DEM) technique and simulated on a GPU board in a PC. A fast algorithm is used to calculate the Hertzian contact forces between many spherical particles, and NVIDIA CUDA is used to increase the calculation speed. The explicit integration method is applied to solve the many spheres. MBD entities are simulated by recursive formulation. Constraints are reduced by recursive formulation, and the implicit generalized alpha method is applied to solve the dynamic model. A new algorithm is developed to simulate the DEM and MBD models simultaneously. As a numerical example, a truck car model and gear model are developed. The results show that the proposed algorithm using a general-purpose GPU in a PC has many advantages.

Contact Surface Fatigue Life for RPG System (RPG 시스템의 접촉 피로수명)

  • Nam, Hyoung-Chul;Kwon, Soon-Man;Shin, Joong-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.11
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    • pp.1453-1459
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    • 2011
  • A roller pinion gear (RPG) system composed of either a pin or a roller and its conjugated cam gear can improve the gear endurance from that of a conventional gear system by reducing the sliding contact while increasing the rolling motion. In this paper, we first proposed the exact cam gear profile and the self-intersection condition obtained when the profile shift coefficient is introduced. Then, we investigated the Hertzian contact stresses and the load stress factors while the varying the shape design parameters to predict the gear surface fatigue life, which is strongly related to the gear noise and vibration at the contact patch. The results show that the pitting life can be extended significantly by increasing the profile shift coefficient.

Characteristics of High Frequency Induction-Hardened Bearing Steel Produced by VIM (VIM에 의해 제조된 고주파 유도경화 베어링강의 특성에 관한 연구)

  • Choe, Byeong-Yeong;Jang, Jeong-Seok
    • Korean Journal of Materials Research
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    • v.8 no.12
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    • pp.1176-1181
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    • 1998
  • Characteristics of high frequency induction- hardened bearing steel have been investigated using 0.55wt.% C-1.68wt.% Mn specimens produced by vacuum induction melting (VIM). The K4 value in DIN 57602 of the specimens was assessed to be 6.41, high level of cleanliness. The specimens were high frequency induction-hardened to form heterogeneous submicron- lath martensite in the surface hardened layer with about 2.5mm in effective depth. Rolling contact fatigue tests were conducted in elasto-hydrodynamic lubricating conditions under a maximum Hertzian contact stress of$ 492kgmm^{-2}$ . It was found that microhardness in the subsurface, up to about $500\mu\textrm{m}$ in depth, below the raceway of rolling contact fatigued specimens was increased in comparison with that of induction-hardened layers. The depth of maximum microhardness- increased region was about $100\mu\textrm{m}$ from surface, showing white etching area. Crack initiation and propagation in the white etching area below the raceway of rolling contact fatigued specimens were observed.

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Investigation of Low Velocity Impact Behavior of Laminated Composite Plates Considering the Stacking Method (적층방법에 따른 복합적층판의 저속충격거동 조사)

  • Kim, Seung-Deog;Kwon, Suk-Jun
    • Journal of Korean Association for Spatial Structures
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    • v.10 no.4
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    • pp.75-83
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    • 2010
  • Laminated composite plates have shown their superiority over metals in applications requiring high specific strength, high specific modulus, and so on. Therefore, they have used in various industry. However, they have poor resistance to impact compared to typical metal materials. So, many researchers have investigated about impact behavior of laminated composite plate. To investigate impact behavior of laminated composite plate, we have to calculate contact force between impactor and laminated composite plate at the first. Impactor's equation of motion, plate's equation of motion and correlations for indentation were solved to know the contact force at the same time. In this study, low velocity impact behavior of composite plate was investigated using the finite element program which is involved the classical Hertzian law, Sun's law and Sun & Yang's experimental law and Sun & Tan's experimental law considering the stacking method.

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Rotordynamic Performance Predictions of Tilting Pad Journal Bearing with Rocker-Back Pivots and Comparison with Published Test Results (로커-백 피벗을 갖는 틸팅 패드 저널 베어링의 회전체동역학적 성능 예측 및 기존 결과와의 비교)

  • Kim, Tae Ho;Choi, Tae Gyu;Kim, Choong Hyun
    • Tribology and Lubricants
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    • v.31 no.6
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    • pp.294-301
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    • 2015
  • In this paper, we predict the rotordynamic force coefficients of tilting pad journal bearings (TPJBs) with rocker-back pivots, and we compare the predictions to recently published predictions and test data. The present TPJB model considers the rocker-back pivot stiffness calculated based on the Hertzian contact-stress theory, which is nonlinear with the application of a force . For the five-pad TPJB in load-between-pad and load-on-pad configurations, the predictions show the pressure- and film-thickness distributions, the deflection and stiffness of the individual pivots, and bearing stiffness and damping coefficients. The minimum film thickness and peak pressure occur at the bottom pad on which the applied load is directed. Because of the preload, the pres- sure is positive even at the upper pad in the opposite direction to the applied load. The pivot deflection and stiff- ness are maximum at the bottom pad that receives the heaviest pressure load. The predicted stiffness coefficients increase as the static load and rotor speed increase, while the damping coefficients decrease as the rotor speed increases, but increase as the static load increases. In general, the predicted stiffness coefficients agree well with the test data. The predicted damping coefficients overestimate the test data, particularly for large static loads. In general, the current predictive model considering the pivot stiffness improves the accuracy of the rotordynamic performance compared to previously reported models.

Impact Fracture Behavior of Ceramic Plates Using Instrumented Long Bar (계장화한 긴 바를 사용한 세라믹판의 충격 파괴 거동)

  • Sin, Hyeong-Seop;O, Sang-Yeop;Choe, Su-Yong;Seo, Chang-Min;Jang, Sun-Nam
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.4
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    • pp.787-793
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    • 2002
  • In this study, a bar impact test of low velocity was carried out to gain an insight into the damage mechanism and sequence induced in alumina plates(AD 85 and AD 90) under impact conditions. An experimental setup utilizing an instrumented long bar impact was devised, that can measure directly the impact force applied to the specimen and supply a compressive contact pressure to the specimen. During the bar impact testing, the influences of the contact pressure applied along the impact direction to the specimen on the fracture behavior were investigated. The measured impact force profiles explained well the damage behavior induced in alumina plates. The higher contact pressure to the specimen led to the less damage due to the suppression of radial cracks due to the increase in the apparent flexural stiffness of plate. It had produced the change of damage pattern developed in the specimen; from the radial cracks to the local contact stress dominant damage. It would contribute to the improvement of the ballistic property in ceramic plates. The observed results showed the following sequence in damage developed: The development of cone crack at impact region, the formation of radial cracks from the rear surface of plate depending on the plate thickness, the occurrence of crushing within the cone envelope and the fragmentation.

Effect of Joint Stiffness on the Rock Block Behavior in the Distinct Element Analysis (개별요소해석에서 절리강성이 블록 거동에 미치는 영향)

  • Ryu, Chang-Ha;Choi, Byung-Hee
    • Explosives and Blasting
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    • v.37 no.2
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    • pp.14-21
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    • 2019
  • Distinct element method is a powerful numerical tool for modelling the jointed rock masses. It is also a useful tool for modelling of later stage of blasting requiring large displacement. The distinct element method utilizes a rigid block idea in which the interacting force between distinct elements is calculated from contact displacement as elements penetrate slightly. The properties of joints defined as the boundaries of distinct elements are critical parameters to determine the block behavior, and affect the deformation and failure mode. However, regardless of real joint properties, joint stiffnesses have sometimes been selected without special concern just to prevent elements from penetrating too far into each other in some quasi-static problems. Depending on whether the main interest in the analysis is the prediction of the deformation with high precision, or the prediction of the block behaviour after failure, the input data such as joint stiffness may or may not have a significant effect on the results. The purpose of this study is to provide a sound understanding of the effect of the joint stiffness on the distinct element analysis results, and to help guide the selection of input data.