• 제목/요약/키워드: Finite groups

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Does matching relation exist between the length and the tilting angle of terminal implants in the all-on-four protocol? stress distributions by 3D finite element analysis

  • Li, Xiaomei;Cao, Zhizhong;Qiu, Xiaoqian;Tang, Zhen;Gong, Lulu;Wang, Dalin
    • The Journal of Advanced Prosthodontics
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    • 제7권3호
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    • pp.240-248
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    • 2015
  • PURPOSE. To explore whether there is matching relation between the length and the tilting angle of terminal implants in the All-on-Four protocol by studying the effects of different implant configurations on stress distributions of implant, bone, and framework. MATERIALS AND METHODS. Four implants were employed to support a full-arch fixed prosthesis and five three-dimensional finite element models were established with CT images, based on the length (S and L) and distal tilt angle ($0^{\circ}$, $30^{\circ}$ and $45^{\circ}$) of terminal implants for an edentulous mandible, which named: Tilt0-S, Tilt30-S, Tilt30-L, Tilt45-S and Tilt45-L. An oblique 240 N was loaded at second molar. The von Mises Stresses were analyzed. The implants were consecutively named #1 to #4 from the loading point. RESULTS. 1) Tilt0-S had the greatest stress on the implants, with the other groups exhibiting variable reductions; the four implants of Tilt45-L demonstrated the greatest reduction in stress. 2) Tilt0-S had the greatest stress at bone around #1 implant neck, and Tilt45-L exhibited the least stress, which was a 36.3% reduction compared to Tilt0-S. 3) The greatest stress in the framework was found on the cantilevers distal to #1 implant. Tilt45-S exhibited the least stress. CONCLUSION. Matching different length and tilting angle of the terminal implants led to variable stress reductions on implants, bone and the superstructure. By optimizing implant configuration, the reduction of stress on implants and surrounding bone could be maximized. Under the present condition, Tilt45-L was the preferred configuration. Further clinical testings are required.

억지말뚝 간편설계법 및 적응성 분석 (Simplified Design Method for Stabilizing Piles and its Application)

  • 정상섬;원진오;박중배;김성열
    • 한국지반공학회논문집
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    • 제17권6호
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    • pp.5-14
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    • 2001
  • 본 연구에서는 사면안정 확보를 위해 설치된 억지말뚝과 보강사면의 안전율을 산정할 수 있는 간편설계 법을 제안하였다. 억지말뚝-지반간 상호작용은 하중전이법으로, 사면의 안전율은 Bishop의 간편법을 이용하여 산정하였다. 말뚝 간격에 따른 군말뚝 효과를 고려하기 위해 실내모형실험 및 유한요소해석을 수행하였으며 이 결과를 토대로 군말뚝 상호작용계수를 제안하였다. 제안된 군말뚝 상호작용계수는 말뚝중심간격이 좁아질수록 감소하였으며, 두부조건이 자유단인 경우가 다른 구속조건에 비해 큰 폭으로 감소하였다. 개발된 억지말뚝의 설계기법은 본 연구에서 수행한 원심모형실험, 현장시험 및 기존 유한요소해석결과와 비교.분석하였다. 본 해석프로그램은 3차원 유한요소해석에 비해 쉽고 간단하면서도 말뚝-지반간 상호작용에 의해 매우 복잡한 거동을 나타내는 억지말뚝을 비교적 적절히 설계 할 수 있음을 알 수 있었다.

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Non linear soil structure interaction of space frame-pile foundation-soil system

  • Chore, H.S.;Ingle, R.K.;Sawant, V.A.
    • Structural Engineering and Mechanics
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    • 제49권1호
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    • pp.95-110
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    • 2014
  • The study deals with physical modeling of space frame-pile foundation and soil system using finite element models. The superstructure frame is analyzed using complete three-dimensional finite element method where the component of the frame such as slab, beam and columns are descretized using 20 node isoparametric continuum elements. Initially, the frame is analyzed assuming the fixed column bases. Later the pile foundation is worked out separately wherein the simplified models of finite elements such as beam and plate element are used for pile and pile cap, respectively. The non-linear behaviour of soil mass is incorporated by idealizing the soil as non-linear springs using p-y curve along the lines similar to that by Georgiadis et al. (1992). For analysis of pile foundation, the non-linearity of soil via p-y curve approach is incorporated using the incremental approach. The interaction analysis is conducted for the parametric study. The non-linearity of soil is further incorporated using iterative approach, i.e., secant modulus approach, in the interaction analysis. The effect the various parameters of the pile foundation such as spacing in a group and configuration of the pile group is evaluated on the response of superstructure owing to non-linearity of the soil. The response included the displacement at the top of the frame and bending moment in columns. The non-linearity of soil increases the top displacement in the range of 7.8%-16.7%. However, its effect is found very marginal on the absolute maximum moment in columns. The hogging moment decreases by 0.005% while sagging moment increases by 0.02%.

치아 및 임플랜트 지지 고정성 국소의치의 비고정성 연결부의 위치에 따른 유한요소법적 응력분석 (A FINITE ELEMENT STRESS ANALYSIS OF TOOTH AND IMPLANT SUPPORTED FIXED PARTIAL DENTURE ACCORDING TO THE LOCATION OF NON-RIGID CONNECTOR)

  • 안병주;황영필;계기성;조규종
    • 대한치과보철학회지
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    • 제33권4호
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    • pp.807-823
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    • 1995
  • The purpose of this study was to analyze the stress distribution and the displacement happened to the abutment, the prosthesis, and the surrounding structure according to the location of the nonrigid connector, that is, the keyway in the distal of canine and the mesial of the implant in the three unit fixed partial denture. Two-dimensional finite element model ws constructed and analyzed for the stress distribution and the displacement using software ABAQUS(Ver 5.2 Hibbitt, Karisson & Sorenson, Inc., 1992). After finishing the finite element model, the distribution load of 15kg was applied simultaneously to the all cusp tips of the prosthesis and the concentration load of 10㎏ was applied respectively at the each cusp tip of the prosthesis. The following results were obtained : 1. The amount of displacement of the implant was greater in case of the non-rigid connection than the rigid connection, and the more favorable displacement was shown in case of the IKb than the IKa. 2. Without regard to the connection method, the stress represented at the surrounding bone was similar, and the more favorabel stress distribution was shown in case of IKb. 3. The maximum stress was concentrated at the fastening screw and the neck of implant in all experimental groups, and their stress magnitudes were in the order of IKb, IR, and IKa.

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티타늄 및 PEEK 지대주 소재가 임플란트 유지 수복물 및 주위 지지골 응력 분포에 미치는 영향: 3차원 유한요소해석 (Effects of titanium and PEEK abutments on implant-supported dental prosthesis and stress distribution of surrounding bones: three-dimensional finite element analysis)

  • 홍민호
    • 대한치과기공학회지
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    • 제44권3호
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    • pp.67-75
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    • 2022
  • Purpose: This study aimed to comparatively evaluate the stress distribution of bones surrounding the implant system to which both titanium and polyetheretherketone (PEEK) abutments are applied using a three-dimensional finite element analysis. Methods: The three-dimensional implant system was designed by the computer-aided design program (CATIA; Dassault Systemes). The discretization process for setting nodes and elements was conducted using the HyperMesh program (Altair), after finishing the design of each structure for the customized abutment implant system. The results of the stress analysis were drawn from the Abaqus program (Dassault Systèmes). This study applied 200 N of vertical load and 100 N of oblique load to the occlusal surface of a mandibular first molar. Results: Under external load application, the PEEK-modeled dental implant showed the highest von Mises stress (VMS). The lowest VMS was observed in the Ti-modeled abutment screws. In all groups, the VMS was observed in the crestal regions or necks of implants. Conclusion: The bones surrounding the implant system to which the PEEK abutment was applied, such as the cortical and trabecular bones, showed stress distribution similar to that of the titanium implant system. This finding suggests that the difference in the abutment materials had no effect on the stress distribution of the bones surrounding implants. However, the PEEK abutments require mechanical and physical properties improved for clinical application, and the clinical application is thought to be limited.

유전 알고리즘을 이용한 전기 임피던스 단층촬영법의 영상복원 (Image Reconstruction Using Genetic Algorithm in Electrical Impedance Tomograghy)

  • 김호찬;문동춘;김민찬;김신;이윤준
    • 제어로봇시스템학회논문지
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    • 제9권1호
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    • pp.50-56
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    • 2003
  • In electrical impedance tomography(EIT), various image reconstruction algorithms have been used in order to compute the internal resistivity distribution of the unknown object with its electric potential data at the boundary. Mathematically the EIT image reconstruction algorithm is a nonlinear ill-posed inverse problem. This paper presents a new combined method based on genetic algorithm(GA) and modified Newton-Raphson(mNR) algorithm via two-step approach for the solution of the static EIT inverse problem. In the first step, each mesh is classified into three mesh groups: target, background, and temporary groups. The mNR algorithm can be used to determine the region of group. In the second step, the values of these resistivities are determined using genetic algorithm. Computer simulations with the 32 channels synthetic data show that the spatial resolution of reconstructed images by the proposed scheme is improved compared to that of the mNR algorithm at the expense of increased computational burden.

Parametric study of laterally loaded pile groups using simplified F.E. models

  • Chore, H.S.;Ingle, R.K.;Sawant, V.A.
    • Coupled systems mechanics
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    • 제1권1호
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    • pp.1-7
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    • 2012
  • The problem of laterally loaded piles is particularly a complex soil-structure interaction problem. The flexural stresses developed due to the combined action of axial load and bending moment must be evaluated in a realistic and rational manner for safe and economical design of pile foundation. The paper reports the finite element analysis of pile groups. For this purpose simplified models along the lines similar to that suggested by Desai et al. (1981) are used for idealizing various elements of the foundation system. The pile is idealized one dimensional beam element, pile cap as two dimensional plate element and the soil as independent closely spaced linearly elastic springs. The analysis takes into consideration the effect of interaction between pile cap and soil underlying it. The pile group is considered to have been embedded in cohesive soil. The parametric study is carried out to examine the effect of pile spacing, pile diameter, number of piles and arrangement of pile on the responses of pile group. The responses considered include the displacement at top of pile group and bending moment in piles. The results obtained using the simplified approach of the F.E. analysis are further compared with the results of the complete 3-D F.E. analysis published earlier and fair agreement is observed in the either result.

Interactive analysis of a building fame resting on pile foundation

  • Chore, H.S.
    • Coupled systems mechanics
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    • 제3권4호
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    • pp.367-384
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    • 2014
  • The study deals with the physical modeling of a typical single storeyed building frame resting on pile foundation and embedded in cohesive soil mass using the finite element based software SAP-IV. Two groups of piles comprising two and three piles, with series and parallel arrangement thereof, are considered. The slab provided at top and bottom of the frame along with the pile cap is idealized as four noded and two dimensional thin shell elements. The beams and columns of the frame, and piles are modeled using two noded one dimensional beam-column element. The soil is modeled using closely spaced discrete linear springs. A parametric study is carried out to investigate the effect of various parameters of the pile foundation, such as spacing in a group and number of piles in a group, on the response of superstructure. The response considered includes the displacement at the top of the frame and bending moment in columns. The soil-structure interaction effect is found to increase the displacement in the range of 38 -133% and to increase the absolute maximum positive and negative moments in the column in the range of 2-12% and 2-11%. The effect of the soil- structure interaction is observed to be significant for the type of foundation and soil considered in this study. The results obtained are compared further with those of Chore et al. (2010), wherein different idealizations were used for modeling the superstructure frame and sub-structure elements (foundation). While fair agreement is observed in the results in either study, the trend of the results obtained in both studies is also same.

Simulating large scale structural members by using Buckingham theorem: Case study

  • Muaid A. Shhatha
    • Advances in Computational Design
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    • 제8권2호
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    • pp.133-145
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    • 2023
  • Scaling and similitude large scale structural member to small scale model is considered the most important matter for the experimental tests because of the difficulty in controlling, lack of capacities and expenses, furthermore that most of MSc and PhD students suffering from choosing the suitable specimen before starting their experimental study. The current study adopts to take large scale slab with opening as a case study of structural member where the slab is squared with central squared opening, the boundary condition is fixed from all sides, the load represents by four concentrated force in four corners of opening, as well as, the study adopts Buckingham theorem which has been used for scaling, all the parameters of the problem have been formed in dimensionless groups, the main groups have been connected by a relations, those relations are represented by force, maximum stress and maximum displacement. Finite element method by ANSYS R18.1 has been used for analyzing and forming relations for the large scale member. Prediction analysis has been computed for three small scale models by depending on the formed relations of the large scale member. It is found that Buckingham theorem is considered suitable way for creating relations among the parameters for any structural problem then making similitude and scaling the large scale members to small scale members. Finally, verification between the prediction and theoretical results has been done, it is observed that the maximum deviation between them is not more than 2.4%.

다층지반에서 횡하중을 받는 군말뚝의 거동 (Behavior of Pile Groups in Multi-layers Soil under Lateral Loading)

  • 김용문;안광국
    • 한국지반환경공학회 논문집
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    • 제13권3호
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    • pp.85-90
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    • 2012
  • 본 논문은 ABAQUS 유한 요소 프로그램을 사용하여 다층지반(화강풍화토-점토-화강풍화토)에서의 외말뚝과 군말뚝의 횡하중에 대한 영향을 설명한다. 본 연구에서의 변수는 캡이 없는 외말뚝과 캡이 있는 군말뚝으로, 파일의 직경은 0.5m, 길이는 10m인 말뚝을 사용하였다. 수치 해석은 말뚝의 간격을 (s=3D, 4D, 5D) 변화시켜 외말뚝과 군말뚝의 거동을 비교하기 위하여 수행되었다. $1{\times}3$군말뚝(leading pile, middle pile, trail pile)은 각각의 말뚝의 저항분포와 수평저항력을 조사하기 위하여 선정되었다. 점토의 해석모델은 Druker-Prager 구성관계를 이용하였고, 화강풍화토의 물성치는 기존의 논문을 사용하였으며, 말뚝은 탄성 원형 콘크리트로 모델링하였다. 해석 결과, 말뚝의 간격이 넓어짐에 따라 P-multiplier의 값이 leading pile의 영향을 덜 받는 것으로 나타났다. 또한, 단층지반이 다층지반에 비해 수평저항력이 약 4~20% 크게 작용하는 것으로 나타났다.