• Title/Summary/Keyword: Static Friction Model

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Structural Analysis of S-cam Brake Shoe for Commercial Vehicle by FEM (FEM을 이용한 상용차용 S-cam 브레이크슈의 구조해석)

  • Suh, Chang-Min;Jee, Hyun-Chul
    • Journal of Ocean Engineering and Technology
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    • v.23 no.4
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    • pp.69-77
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    • 2009
  • Structural analysis of a brake shoe for commercial vehicle was performed using finite element method. Since the strength of a brake shoe is affected by the magnitude and distribution shape of the contact pressure with the drum, the contact pressure between the shoe friction material and drum was calculated using a 2-Dimensional non-linear contact analysis in a state. And the brake was actuated by input air pressure and the drum of it was calculated both stationary and dynamic based on forced torque applied to the drum during the static state analysis. The results of the above analysis were then used as the load boundary conditions for a 3-Dimensional shoe model analysis to determine the maximum strain on the shoes. In the analysis model, the values of tensile test were used for the material properties of the brake shoes and drum, while the values of compression test were used for the friction material. We assumed it as linear variation, even though the properties of friction material were actually non-linear. The experiments were carried out under the same analysis conditions used for fatigue test and under the same brake system which equipped with a brake drum based on the actual axle state in a vehicle. The strains were measured at the same locations where the analysis was performed on the shoes. The obtained results of the experiment matched well with those from the analysis. Consequently, the model used in this study was able to determine the stress at the maximum air pressure at the braking system, thereby a modified shoe model in facilitating was satisfied with the required endurance strength in the vehicle.

The Dynamic Performance Analysis of Foil Journal Bearings Considering Coulomb Friction: Rotating Unbalance Response (마찰을 고려한 포일저널베어링의 동특성해석: 회전불균형 응답)

  • Kim, Kyung-Woong;Lee, Dong-Hyun;Kim, Young-Cheol
    • Tribology and Lubricants
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    • v.23 no.5
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    • pp.219-227
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    • 2007
  • The dynamic performance of air foil bearings relies on a coupling between a thin air film and an elastic foil structure. A number of successful analytical techniques to predict dynamic performance have been developed. However, the evaluation of its dynamic characteristic is still not enough because of the mechanical complexity of the foil structure and strong nonlinear behavior of friction force. This work presents a nonlinear transient analysis method to predict dynamic performance of foil bearings. In this method, time dependent Reynolds equation is used to calculate pressure distribution and a finite element method is used to model the bump foil structure. The analysis is treated with a direct implicit integration technique that can handle nonlinear problems and the stick-slip algorithm is used to consider friction force. Using this method the response to the mass unbalance excitation is investigated for various design parameters and operating conditions. The results of analysis show that foil bearing is very effective on the restriction of vibration at the resonance frequency compared to the rigid surface bearings and the effectiveness depends on the operating conditions, static load and a amount of mass unbalance. In addition, there exist optimum values of friction coefficient, bump foil stiffness and number of circumferential slit with regards to minimizing dynamic response at the resonance frequency. These optimum values are system dependent.

Finite Element Analysis of an Orthogonal Cutting Process with Low Speed (2차원 저속절삭에 대한 유한요소 해석)

  • Kim, Kug-Weon;Ahn, Tae-Kil;Lee, Woo-Young
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.5 no.2
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    • pp.10-15
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    • 2006
  • An introduction to orthogonal cutting model by FEM is given, followed by a review of similar work. The cutting process is treated as quasi-static and strain rate insensitive, so the model is applicable only to low speed cutting operation. Chip separation is accomplished along a predefined cutting path by means of an element death procedure. Contact elements with friction capability are used to model the interaction between the tool and the workpiece. FEM results are compared with cutting experiments with low speed for brass, and good correlations are found.

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Finite Element Modeling for Static and Dynamic Analysis of Structures with Bolted Joints (볼트결합부를 포함한 구조물의 정적 및 동적 해석을 위한 유한요소 모델링)

  • Gwon, Yeong-Du;Gu, Nam-Seo;Kim, Seong-Yun;Jo, Min-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.4
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    • pp.667-676
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    • 2002
  • Many studies on the finite element modeling for bolted joints have proceeded, but the structures with bolted joints are complicated in shape and it is difficult to find out the characteristics according to joint condition. Usually, experimental methods have been used for bolted joint analysis. A reliable and practical finite element modeling technique for structure with bolted joints is very important for engineers in industry. In this study, three kinds of model are presented; a detailed model, a practical model and a simple model. The detailed model is modeled by using 3-D solid element and gap element, and the practical model is modeled by using shell element (a portion of bolt head) and beam element (a portion of bolt body), the simple model is modeled by simplifying practical model without using gap elements. Among these models, the simple model has the least degree of freedom and show the effect of memory reduction of 59%, when compared with the detailed model.

A Study on Developed Earth Pressures behind Retaining Walls Built Close to Rock Faces (암 근처에 설치되는 옹벽의 발생토압에 관한 연구)

  • 김홍택
    • Geotechnical Engineering
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    • v.6 no.4
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    • pp.7-18
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    • 1990
  • To deal with the case of a rigid retaining wall built close to a stable rock face with cohesionless backfill, analytical solution methods Proposed by Spangler- Handy and Sokolovskii are modified. The modified solution methods, taking into account different friction angles along the wall and the rock face, can estimate the developed static or dynamic horizontal earth pressures behind vertical retaining walls experiencing various types of outward wall movements. The range of application of each proposed method, which is represented by the ratio of the distance between the wall and the rock face to the height of the wall, is compared with each other and also is examined for different wall friction angles as well as soil friction angles. Further, the result predicted by the modified Spangler - Handy solution method is compared with that from the experimental model test on sand. The comparison shows in general good agreements at various stages of retaining wall rotation about its toe. Finally results of analytical parametric study, together with the design charts, are presented to demonstrate the effects of wall friction angles and horizontal acceleration coefficients.

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Numerical Study of Three-Dimensional Compressible Flow Structure Within an S-Duct for Aircraft Engine Inlet

  • Cho, Soo-Yong;Park, Byung-Kyu
    • International Journal of Aeronautical and Space Sciences
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    • v.1 no.1
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    • pp.36-47
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    • 2000
  • Three-dimensional compressible turbulent flow fields within the passage of a diffusing S-duct have been simulated by solving the Navier-Stokes equations with SIMPLE scheme. The average inlet Mach number is 0.6 and the Reynolds number based on the inlet diameter is $1.76{\times}10^6$ The extended $k-{\varepsilon}$ turbulence model is applied to modeling the Reynolds stresses. Computed results of the flow in a circular diffusing S-duct provide an understanding of the flow structure within a typical engine inlet system. These are compared with experimental wall static-pressure, total-pressure fields, and secondary velocity profiles. Additionally, boundary layer thickness, skin friction values, and streamlines in the symmetric plane are presented. The computed results depict the interaction between the low energy flow by the flow separation and the high energy flow by the reversed duct curvature. The computed results obtained using the extended $k-{\varepsilon}$ turbulence model.

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Analysis of Flexible Media Behavior by Dynamic Elastica (Dynamic Elastica에 의한 유연매체의 거동해석)

  • Hong, Sung-Kwon;Jee, Jung-Geun;Jang, Yong-Hoon;Park, No-Cheol;Park, Young-Pil
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.600-605
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    • 2004
  • In many machines handling lightweight and flexible media such as magnetic tape drives, xerographic copiers and sewing machines, the media must transit an open space. It is important to predict the static and dynamic behavior of the sheets with a high degree of reliability. The nonlinear theory of the dynamic elastica has often been used to a nonlinear dynamic deflection model. In this paper, the governing equation is derived and simulated by the finite differential method. The parametric cubic curve is applied for defining the guide shape. The dynamic contact conditions suggested by Klarbring is used to predict the direction of the flexible media according to the initial velocity and the friction coefficient. The analysis is also compared to the conventional model, showing that after contacting a $45^{\circ}$ wall, the directions of flexible media of two models are different.

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Numerical investigation of steady state characteristics and stability of supercritical water natural circulation loop of a heater and cooler arrangements

  • Rai, Santosh Kumar;Kumar, Pardeep;Panwar, Vinay
    • Nuclear Engineering and Technology
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    • v.53 no.11
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    • pp.3597-3611
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    • 2021
  • The present paper studies the thermal-hydraulic behaviour of the rectangular supercritical natural circulation loop (SCNCL) using numerical model of one dimensional. Then the results of this model is confirmed with experimental and benchmark results. Variations with several geometric parameters like loop diameter, riser length, and heater length and operating conditions like heater inlet enthalpy, pressure, friction factor, and inlet and exit loss coefficient on steady-state performance are investigated for various orientations like HHHC, HHVC, VHVC and VHHC of the heater and cooler. The chances of existing static instability (Ledinegg excursion) has been investigated, which reveals that it can arise only in a low inlet enthalpy condition, far from the suggested various orientations of heater and cooler.

Pile tip grouting diffusion height prediction considering unloading effect based on cavity reverse expansion model

  • Jiaqi Zhang;Chunfeng Zhao;Cheng Zhao;Yue Wu;Xin Gong
    • Geomechanics and Engineering
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    • v.37 no.2
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    • pp.97-107
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    • 2024
  • The accurate prediction of grouting upward diffusion height is crucial for estimating the bearing capacity of tip-grouted piles. Borehole construction during the installation of bored piles induces soil unloading, resulting in both radial stress loss in the surrounding soil and an impact on grouting fluid diffusion. In this study, a modified model is developed for predicting grout diffusion height. This model incorporates the classical rheological equation of power-law cement grout and the cavity reverse expansion model to account for different degrees of unloading. A series of single-pile tip grouting and static load tests are conducted with varying initial grouting pressures. The test results demonstrate a significant effect of vertical grout diffusion on improving pile lateral friction resistance and bearing capacity. Increasing the grouting pressure leads to an increase in the vertical height of the grout. A comparison between the predicted values using the proposed model and the actual measured results reveals a model error ranging from -12.3% to 8.0%. Parametric analysis shows that grout diffusion height increases with an increase in the degree of unloading, with a more pronounced effect observed at higher grouting pressures. Two case studies are presented to verify the applicability of the proposed model. Field measurements of grout diffusion height correspond to unloading ratios of 0.68 and 0.71, respectively, as predicted by the model. Neglecting the unloading effect would result in a conservative estimate.

A Study on Behavior of the Lateral Movement of Breakwater by Centrifuge model Experiments (원심모형실험에 의한 방파제의 수평변위 거동에 관한 연구)

  • Lee, Dong-Won;Kim, Dong-Gun;Jun, Sang-Hyun;Yoo, Nam-Jae
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.03a
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    • pp.1473-1478
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    • 2010
  • For the cassion type of breakwater under the condition of large wave loads, stability about lateral movement of breakwater was investigated by performing centrifuge model experiments. Prototype of breakwater was modelled by scaling down to centrifuge model and the soft ground reinforced with grouting was also reconstructed in the centrifuge model experiments. Sandy ground beneath breakwater was prepared with a soil sampled in field so that identical value of internal friction angle could be obtained. Centrifuge model experiments were carried out to reconstruct the construction sequence in field. Lateral static wave load was applied to the model caisson after the final stage of construction sequence was rebuilt and the measured lateral movement of caisson was compared with allowable value by the code to assess the stability about lateral movement of the breakwater.

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