• Title/Summary/Keyword: von Mises distribution

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Derivation of Probable Rainfall Intensity Formula at Masan District (마산지방 확률강우강도식의 유도)

  • Kim, Ji-Hong;Bae, Deg-Hyo
    • Journal of Wetlands Research
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    • v.2 no.1
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    • pp.49-58
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    • 2000
  • The frequency analysis of annual maximum rainfall data and the derivation of probable rainfall intensity formula at Masan station are performed in this study. Based on the eight different rainfall duration data from 10 minutes to 24 hours, eight types of probability distribution (Gamma, Lognormal, Log-Pearson type III, GEV, Gumbel, Log-Gumbel, Weibull, and Wakeby distributions), three types of parameter estimation scheme (moment, maximum likelihood and probability weighted methods) and three types of goodness-of-fit test (${\chi}^2$, Kolmogorov-Smirnov and Cramer von Mises tests) were considered to find an appropriate probability distribution at Masan station. The Lognormal-2 distribution was selected and the probable rainfall intensity formula was derived by regression analysis. The derived formula can be used for estimating rainfall quantiles of the Masan vicinity areas with convenience and reliability in practice.

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Three-dimensional finite element analysis of stress distribution for different implant thread slope and implant angulation (임플란트 나사선 경사각과 식립 각도에 따른 3차원 유한요소 응력분석)

  • Seo, Young-Hun;Lim, Hyun-Pil;Yun, Kwi-Dug;Yoon, Suk-Ja;Vang, Mong-Sook
    • The Journal of Korean Academy of Prosthodontics
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    • v.51 no.1
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    • pp.1-10
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    • 2013
  • Purpose: The purpose of this study was to find an inclination slope of the screw thread that is favorable in distributing the stresses to alveolar bone by using three dimensional finite element analysis. Materials and methods: Three types modelling changed implant thread with fixed pitch of 0.8 mm is the single thread implant with $3.8^{\circ}$ inclination, double thread implant with $7.7^{\circ}$ inclination and the triple thread implant with $11.5^{\circ}$ inclination. And three types implant angulation is the $0^{\circ}$, $10^{\circ}$ and $15^{\circ}$ on alveolar bone. The 9 modelling fabricated for three dimensional finite element analysis that restored prosthesis crown. The crown center applied on 200 N vertical load and $15^{\circ}$ tilting load. Results: 1. The more tilting of implant angulation, the more Von-Mises stress and Max principal stress is increasing. 2. Von-Mises stress and Max principal stress is increasing when applied $15^{\circ}$ tilting load than vertical load on the bone. 3. When the number of thread increased, the amount of Von-Mises stress, Max principal stress was reduced since the generated stress was effectively distributed. 4. Since the maximum principal stress affects on the alveolar bone can influence deeply on the longevity of the implants. When comparing the magnitude of the maximum principal stress, the triple thread implant had a least amount of stress. This shows that the triple thread implant gave a best result. Conclusion: A triple thread implant to increase in the thread slope inclination and number of thread is more effective on the distribution of stress than the single and double thread implants especially, implant angulation is more tilting than $10^{\circ}$ on alveolar bone. Thus, effective combination of thread number and thread slope inclination can help prolonging the longevity of implant.

Analysis of Contact Stress with Partial Slip in Wheel-rail Rolling Contact (차륜-레일 구름접촉 시 슬립율에 따른 접촉응력의 변화 해석)

  • Lee, Dong-Hyong;Seo, Jung-Won;Kwon, Seok-Jin;Choi, Ha-Yong;Kim, Chul-Jae
    • Proceedings of the KSR Conference
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    • 2011.10a
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    • pp.643-648
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    • 2011
  • Fatigue crack in most rails take place by rolling contact between wheel and rail in railway industry. Therefore, it is critical to understand the rolling contact phenomena, especially for the three-dimensional situation. In this paper the steady-state rolling contact problem of KTX wheel and rail (UIC60) has been studied with three-dimensional finite element analysis. The variation of contact pressure and contact stresses on rolling contact surface were obtained using the finite element method. The three-dimensional distribution of contact stresses on the contact surface are investigated. Results show that the distribution of shear stress and contact stress (von Mises) on the contact surface varies rapidly as a result of the variation of stick-slip region. The contact stress at the leading edge is greater than at the trailing edge because of stick and slip phenomena.

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Influence of porosity on the behavior of cement orthopaedic of total hip prosthesis

  • Ali, Benouis;Boualem, Serier;Smail, Benbarek
    • Biomaterials and Biomechanics in Bioengineering
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    • v.2 no.4
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    • pp.197-206
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    • 2015
  • This paper presents three-dimensional finite element method analyses of the distribution of equivalents stress of Von Mises. Induced around a cavity located in the bone cement polymethylmethacrylate (PMMA). The presences and effect of its position in the cement was demonstrated, thus on the stress level and distribution. The porosity interaction depending on their positions, and their orientations on the interdistances their mechanical behaviour of bone cement effects were analysed. The obtained results show that micro-porosity located in the proximal and distal zone of the prosthesis is subject to higher stress field. We show that the breaking strain of the cement is largely taken when the cement, containing the porosities very close adjacent to each other.

Effect of Stem Design on Contact Pressure and Stress Distribution of End-of-stem in Revision TKR (슬관절 재전치환술용 경골 삽입물 형상이 주대 말단부의 접촉압력과 응력 분포에 미치는 영향)

  • Kim, Yoon-Hyuk;Kwon, Oh-Soo;Park, Si-Mon
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.11 s.188
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    • pp.126-134
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    • 2006
  • In this study, the effect of stem-end design on contact pressure and stress distribution in revision TKR was investigated using finite element method. The finite element model of tibia, including the cortical bone, the cancellous bone and canal, was developed based on CT images. The implant models with various stem lengths, diameters, friction coefficients, and press-fit effects were considered. The results showed that the longer stem length, the stronger press-fit, the bigger stem diameter, and the higher friction coefficient increased both peak contact pressure and Von-Mises stress distributions. The results supported the clinical hypothesis that peak contact pressure and stress are related to the stem end pain. The results of this study will be useful to design the stem and reduce the end-of-stem pain in revision TKR.

Effect of Boundary Conditions of Failure Pressure Models on Reliability Estimation of Buried Pipelines

  • Lee, Ouk-Sub;Pyun, Jang-Sik;Kim, Dong-Hyeok
    • International Journal of Precision Engineering and Manufacturing
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    • v.4 no.6
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    • pp.12-19
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    • 2003
  • This paper presents the effect of boundary conditions in various failure pressure models published for the estimation of failure pressure. Furthermore, this approach is extended to the failure prediction with the aid of a failure probability model. The first order Taylor series expansion of the limit state function is used in order to estimate the probability of failure associated with each corrosion defect in buried pipelines for long exposure period with unit of years. A failure probability model based on the von-Mises failure criterion is adapted. The log-normal and standard normal probability functions for varying random variables are adapted. The effects of random variables such as defect depth, pipe diameter, defect length, fluid pressure, corrosion rate, material yield stress, material ultimate tensile strength and pipe thickness on the failure probability of the buried pipelines are systematically investigated for the corrosion pipeline by using an adapted failure probability model and varying failure pressure model.

Three-Dimensional Finite element analysis of Canine and Carnassial for Observation of Dog Bite forces (개(犬)의 교합력 관찰을 위한 견치와 열육치의 3차원 유한요소 분석)

  • Park, Yu-Jin;Kim, Chi-Young;Choi, Sung-Min
    • Journal of Technologic Dentistry
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    • v.41 no.4
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    • pp.295-301
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    • 2019
  • Purpose: This study is for the prosthesis of dogs. Observe the occlusal relation between the dog's canine and carnassial teeth. The strength and the direction of the occlusal by 3D FEM analysis. Methods: The mandibular canine and carnassial of dogs were tested. The dog's skull was contact point confirmed by dental CAD. The skull of the dog was 3D modeled by CT. The 3D model was analyzed by ABAQUS. Opening and closing movement has been a force of 100N, 200N, 300N, 500N, 1000N, 1,500N. The peak von Mises stress distribution was confirmed. Results: As occlusal force increased, stress appeared to 1.34 MPa, 3.32 MPa, 5.00 MPa, 6.19 MPa, 5.58 MPa, 5.47 MPa in left canine. and Stress was seen at 2.10 MPa, 3.08 MPa, 3.89 MPa, 5.50 MPa, 7.04 MPa, 7.18 MPa in the right canine. Stress appeared at 2.41 MPa, 3.53 MPa, 5.15 MPa, 7.28 MPa, 31.26 MPa, 67.22 MPa in the left carnassial. and Stress was seen at 1.57 MPa, 2.96 MPa, 3.76 MPa, 6.01 MPa, 20.94 MPa, 64.38 MPa in the right carnassial. Conclusion: Peak von Mises stress values were found at the peak of the canine, the buccal of the central cusp of the carnassial, and the occlusal surface of the distal cusp.

Parallel Gaussian Processes for Gait and Phase Analysis (보행 방향 및 상태 분석을 위한 병렬 가우스 과정)

  • Sin, Bong-Kee
    • Journal of KIISE
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    • v.42 no.6
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    • pp.748-754
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    • 2015
  • This paper proposes a sequential state estimation model consisting of continuous and discrete variables, as a way of generalizing all discrete-state factorial HMM, and gives a design of gait motion model based on the idea. The discrete state variable implements a Markov chain that models the gait dynamics, and for each state of the Markov chain, we created a Gaussian process over the space of the continuous variable. The Markov chain controls the switching among Gaussian processes, each of which models the rotation or various views of a gait state. Then a particle filter-based algorithm is presented to give an approximate filtering solution. Given an input vector sequence presented over time, this finds a trajectory that follows a Gaussian process and occasionally switches to another dynamically. Experimental results show that the proposed model can provide a very intuitive interpretation of video-based gait into a sequence of poses and a sequence of posture states.

Contact Analysis of a Spherical Particle Between Elastomeric Seal and Steel Surface (시일과 스틸면 사이에 구형입자가 있는 접촉문제의 해석)

  • Park, Tae-Jo;Jo, Hyeon-Dong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.2
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    • pp.161-166
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    • 2010
  • Elastomeric seals are widely used in dynamic seal applications, and it is well known that the sealing surfaces can be gradually worn out. Abrasive wear is known to be the most dominant factor; however, little research has been carried out on this problem until now. In this study, a new contact problem related to elastomeric seals-a small spherical particle and steel surface-was modeled and analyzed using MARC. Variations of von-Mises and residual stress distributions as well as deformed seal and steel surface shapes with seal materials and interferences are presented. The stress distribution and surface deformation are highly affected by the elastic properties of seal. For PTFE, the maximum von-Mises stress exceeds the yield strength, and plastic deformation occurs on the steel surface. Therefore, the sealing surface can also be worn down by sub-surface fatigue due to intervening hard particles in the sealing surfaces together with the well-known abrasion.

Three dimensional finite element analysis of the stress on supporting bone by the abutment materials of dental implant (치과용 임플란트 지대주 재료에 따른 지지골 응력의 3차원 유한요소 분석)

  • Lee, Myung-Kon;Kim, Kap-Jin
    • Journal of Technologic Dentistry
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    • v.40 no.1
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    • pp.41-47
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    • 2018
  • Purpose: The purpose of this study was to analyze the biomechanical properties of the dental implants on the supporting bone using three-dimensional finite element method when three different abutment materials were applied to the implant system. Methods: Three different dental implant models were fabricated by applying Ti, PEEK, and CRE-PEEK (60% carbon-reinforced PEEK) to abutment material. The abutment and connecting screw from the fixture was applied with a tightening torque of 20 Ncm. And then, total loads of 150 N were applied in an $30^{\circ}oblique$ direction (to the vertical). The structural stability of dental implants on the supporting bone was analyzed using Von Mises stress and principal stress values. Results: The maximum tensile stress of the cortical bone was highest at 12.6 MPa in the PEEK abutment (Model-B). Ti abutment (Model-A) and CRE-PEEK abutment (Model-C) showed similar stress distributions (10.6 and 10.3 MPa, respectively). And the maximum compressive principal stress was similar in all models. The Von Mises stress value delivered to the bone around the implant was highest at 16.5 MPa in Model-B. On the other hand, Model-A and C showed similar stress distributions (14.0 and 13.8 MPa, respectively). In addition, the maximum equivalent stress applied to the abutment was highest at 629.8 MPa in Model-A. The stress distribution in Model-C was 573.9 MPa. Whereas, Model-B showed the lowest value at 165.6 MPa. Conclusion : The dental implant supporting bone system using PEEK material seems to have the possibility of supporting bone fracture. It was found that the CRE-PEEK abutment can reduce the elastic deformation and reduce the stress value of the interfacial bone.