• 제목/요약/키워드: non-conservative load

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Shape Optimization of Damaged Columns Subjected to Conservative and Non-Conservative Forces

  • Jatav, S.K.;Datta, P.K.
    • International Journal of Aeronautical and Space Sciences
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    • 제15권1호
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    • pp.20-31
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    • 2014
  • This paper deals with the development of a realistic shape optimization of damaged columns that are subjected to conservative and non-conservative forces, using the Genetic Algorithm (GA). The analysis is based on the design of the most optimized shape of the column under the constraint of constant weight, considering the Static, Vibrational, and Flutter characteristics. Under the action of conservative and non-conservative longitudinal forces, an elastic column loses its stability. A numerical analysis based on FEM has been performed on a uniform damaged column, to compute the fundamental buckling load, vibration frequency, and flutter load, under various end restraints. An optimization search based on the Genetic Algorithm is then executed, to find the optimal shape design of the column. The optimized column references the one having the highest buckling load, highest vibration frequency, and highest flutter load, among all the possible shapes of the column, for a given volume. A comparison is then made between the values obtained for the optimized damaged column, and those obtained for the optimized undamaged column. The comparison reveals that the incorporation of damage in the column alters its optimal shape to only a certain extent. Also, the critical load and frequency values for the optimized damaged column are comparatively low, compared with those obtained for the optimized undamaged column. However, these results hold true only for moderate-intensity damage cases. For high intensity damage, the optimal shape may not remain the same, and may vary, according to the severity of damage.

보존력(保存力) 및 비보존력(非保存力)을 받는 평면(平面)뼈대 구조물(構造物)의 기하적(幾何的) 비선형(非線形) 해석(解析) (Geometric Non-linear Analysis of Plane Frame Structures subjected to Conservative and Non-conservative Forces)

  • 김문영;장승필
    • 대한토목학회논문집
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    • 제10권1호
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    • pp.17-26
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    • 1990
  • 보존력(保存力) 및 비보존력(非保存力)을 받는 평면(平面) 뼈대 구조물(構造物)의 기하적(幾何的) 비선형(非線形) 거동(擧動)을 파악하기 위하여 기존의 하중증분법(荷重增分法)과 변위증분법(變位增分法)을 효율적으로 결합시킨 기하적(幾何的)인 비선형(非線形) 유한요소법(有限要素法)을 제시한다. 본(本) 논문(論文)에서 제안한 알고리즘은 보존력(保存力)뿐만 아니라 비보존력(非保存力)을 받는 경우에도 평면(平面) 뼈대의 Snap-Through, Turning-Back과 같은 강한 비선형(非線形) 거동(擧動)을 추적할 수 있다. 여러가지 예제(例題)들을 통하여 다른 문헌(文獻)들의 결과(結果)와 본(本) 연구(硏究)에 의한 결과(結果)를 비교 분석하므로써 제시된 이론(理論)의 정당성(正當性)을 입증(立證)한다.

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감쇠효과(減衰效果)를 고려한 비보존력계(非保存力系) 안정성(安定性) 해석(解析) (The Stability Analysis of Non-Conservative System including Damping Effects)

  • 김문영;장승필
    • 대한토목학회논문집
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    • 제10권3호
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    • pp.57-65
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    • 1990
  • 2절점 유한 요소법을 사용하여 비보존력을 받는 평면뼈대 구조물의 안정성문제를 취급하였다. 포물선 분포를 이루는 축방향력에 대한 가하적인 강도매트럭스, 비보존력의 방향변화를 고려하는 load correction stiffness matrix 그리고 내적 몇 외적감쇠효과를 고려하는 감쇠매트릭스들을 산정하고 이들을 고려한 매트릭스 운동방정식을 유도하였다. 이 방정식으로부터 얻어지는 고유치 문제들을 분석하므로써 감쇠하중의 영향이 고려된 비보존력계의 동적(動的) 안정성(安定性)을 조사하였다. 문헌들에서 취급된 예제들의 해석결과들과 본연구에 의한 결과들을 비교 분석하므로써 본 논문에서 제시한 이론의 정당성을 입증하였다.

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Pasternak 탄성지지 하에서 비보존력계의 동적 안정성해석 (Dynamic Stability Analysis of Non-conservative Systems under Pasternak Elastic Foundations)

  • 이준석;김남일;김문영
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2004년도 봄 학술발표회 논문집
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    • pp.73-80
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    • 2004
  • Mass matrix, elastic stiffness matrix, load correction stiffness matrix by circulatory non-conservative force, and Winkler and Pasternak foundation matrix of framed structure in 2-D are calculated for stability analysis of divergence or flutter system. Then, a matrix equation of the motion for the non-conservative system is formulated and numerical results are presented to demonstrate the effect of some parameters with using Newmark method.

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유한요소기법을 이용한 비보존력이 작용하는 보-기둥 구조의 다양한 제변수 변화에 따른 동적 안정성 해석 (Dynamic Stability Analysis of Nonconservative Systems for Variable Parameters using FE Method)

  • 이준석;민병철;김문영
    • 한국전산구조공학회논문집
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    • 제17권4호
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    • pp.351-363
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    • 2004
  • 비보존력을 받는 보-부재의 질량행렬, 탄성강도행릴, circulatory비보존력의 방향변화로 인한 load correction강도행력, 그리고 Winkler 및 Pasternak지반강도행렬을 고려한 운동방정식을 유도하고 divergence 및 flutter에 의한 안정성 해석을 수행한다. 또한 내적 및 외적 감쇠계수를 운동방정식에 포함시킴으로써 감쇠효과를 고려하고, 2차 고유치문제의 해법(quadratic eigen problem solution)을 적용하여 flutter에 미치는 영향을 조사한 후, Beck's column, Leipholz's column 및 Hauger's column에 대하여 비보존력의 방향파라미터 ${\alpha}$에 대한 임계하중의 영향, 내적 및 외적 감쇠계수 및 Winkler 및 Pasternak지반에 의한 임계하중의 영향을 각각 조사한다.

보존력(保存力) 및 비보존력(非保存力)을 받는 구조물(構造物)의 기하적(幾何的) 비선형(非線形) 유한요소해석(有限要素解析)을 위한 하중(荷重) 및 변위증분(變位增分) 알고리즘의 개발(開發) (Automatic Load and Displacement Incremental Algorithm for Geometric Non-Linear Finite Element Analysis of the Structure subjected to Conservative and Non-conservative Forces)

  • 김문영;장승필
    • 대한토목학회논문집
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    • 제10권2호
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    • pp.11-22
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    • 1990
  • 본(本) 논문(論文)에서는 보존력(保存力) 및 비보존력(非保存力)을 받는 구조물(構造物)의 비선형(非線形) 유한요소해석(有限要素解析)을 수행(遂行)하기 위하여 기존의 하중증분법(荷重增分法)과 변위증분법(變位增分法)을 효율적(效率的)으로 결합(結合)시킨 수치적(數値的)인 해석(解析)알고리즘을 제시(提示)하였다. 제안(提案)한 알고리즘은 하중증분(荷重增分)과 변위증분(變位增分)이 자동(自動) 생성되도록 하므로써 Snap-Through, Turning-Back과 같은 비선형(非線形) 거동(擧動)을 포함(包含)하는 다양(多樣)한 평형경로(平衡經路)들을 추적(追跡)할 수 있었다.

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Prevalence of salivary microbial load and lactic acid presence in diabetic and non-diabetic individuals with different dental caries stages

  • Monika Mohanty ;Shashirekha Govind;Shakti Rath
    • Restorative Dentistry and Endodontics
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    • 제49권1호
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    • pp.4.1-4.9
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    • 2024
  • Objectives: This study aims to correlate caries-causing microorganism load, lactic acid estimation, and blood groups to high caries risk in diabetic and non-diabetic individuals and low caries risk in healthy individuals. Materials and Methods: This study includes 30 participants divided into 3 groups: Group A, High-risk caries diabetic individuals; Group B, High-risk caries non-diabetic individuals; and Group C, Low-risk caries individuals. The medical condition, oral hygiene, and caries risk assessment (American Dental Association classification and International Caries Detection and Assessment System scoring) were documented. Each individual's 3 mL of saliva was analyzed for microbial load and lactic acid as follows: Part I: 2 mL for microbial quantity estimation using nutrient agar and blood agar medium, biochemical investigation, and carbohydrate fermentation tests; Part II: 0.5 mL for lactic acid estimation using spectrophotometric analysis. Among the selected individuals, blood group correlation was assessed. The χ2 test, Kruskal-Wallis test, and post hoc analysis were done using Dunn's test (p < 0.05). Results: Group A had the highest microbial load and lactic acid concentration, followed by Groups B and C. The predominant bacteria were Lactobacilli (63.00 ± 15.49) and Streptococcus mutans (76.00 ± 13.90) in saliva. Blood Group B is prevalent in diabetic and non-diabetic high-risk caries patients but statistically insignificant. Conclusions: Diabetic individuals are more susceptible to dental caries due to high microbial loads and increased lactic acid production. These factors also lower the executing tendency of neutrophils, which accelerates microbial accumulation and increases the risk of caries in diabetic individuals.

Microleakage of Class V cavity restored with flowable and microfill composite resins after load cycling.

  • Kang, Suk-Ho;Son, Ho-Hyun
    • 대한치과보존학회:학술대회논문집
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    • 대한치과보존학회 2001년도 추계학술대회(제116회) 및 13회 Workshop 제3회 한ㆍ일 치과보존학회 공동학술대회 초록집
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    • pp.569.2-569
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    • 2001
  • Flowable and microfill composites have been recommended for Class V cavities. But the use of flowable composites is controversial because of its physical properties. Objectives: The aim of this study was to evaluate the microleakage of 6 composites (2 hybrids, 2 microfills, and 2 flowable composites) with/without load cycling. Methods: Notch-shaped Class V cavities were prepared on buccal surfaces of 180 extracted human upper premolars and then divided into non-load cycling group(G1) and load cycling group(G2).(omitted)

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Effect of boundary conditions on the stability of beams under conservative and non-conservative forces

  • Marzani, Alessandro;Viola, Erasmo
    • Structural Engineering and Mechanics
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    • 제16권2호
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    • pp.195-217
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    • 2003
  • This paper, which is an extension of a previous work by Viola et al. (2002), deals with the dynamic stability of beams under a triangularly distributed sub-tangential forces when the effect of an elastically restrained end is taken into account. The sub-tangential forces can be realised by a combination of axial and tangential follower forces, that are conservative and non-conservative forces, respectively. The studied beams become unstable in the form of either flutter or divergence, depending on the degree of non-conservativeness of the distributed sub-tangential forces and the stiffness of the elastically restrained end. A non-conservative parameter ${\alpha}$ is introduced to provide all possible combinations of these forces. Problems of this kind are usually, at least in the first approximation, reduced to the analysis of beams according to the Bernoulli-Euler theory if shear deformability and rotational inertia are negligible. The equation governing the system may be derived from the extended form of Hamilton's principle. The stability maps will be obtained from the eigenvalue analysis in order to define the divergence and flutter domain. The passage from divergence to flutter is associated with a noticeable lowering of the critical load. A number of particular cases can be immediately recovered.

전단변형 및 감쇠효과를 고려한 비보존력을 받는 외팔기둥의 동적 안정성거동에 대한 매개변수연구 (Parametric Study on Dynamic Stability Behaviors of Beck's Column considering Shear Deformation and Damping Effects)

  • 이준석;김남일;김문영
    • 한국지진공학회논문집
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    • 제9권6호
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    • pp.1-12
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    • 2005
  • 비보존력(non-conservative force)을 받는 외팔기둥의 동적 안정성 거동특성을 조사하기 위하여, 전단변형 및 감쇠효과가 고려된 Hamilton의 원리를 적용하고 무차원화 된 운동방정식 및 유한요소 정식화 과정을 제시한다. 유도된 행렬운동방정식을 이용하여 외팔보(Beck's column)의 고유치해석에 의한 정적좌굴(divergence) 및 동적 좌굴하중(flutter load)을 산정하고 $Newmark-{\beta}$법에 의해서 시간응답해석을 실시한다. 이러한 해석법을 이용한 매개변수연구를 통하여 전단변형 및 회전관성효과, 비보존력의 방향파라미터에 대한 임계하중의 영향, 그리고 내적 및 외적 감쇠하중의 영향이 비보존력계의 동적 안정성에 미치는 영향을 분석한다.