• 제목/요약/키워드: Strain energy function

검색결과 200건 처리시간 0.026초

열응력 제한조건이 고려된 위상최적화 기법을 이용한 광학 미러 플렉셔 마운트 최적설계 (Optimal Design of the Flexure Mount for Optical Mirror Using Topology Optimization Considering Thermal Stress Constraint)

  • 이경호;이중석
    • 한국군사과학기술학회지
    • /
    • 제25권6호
    • /
    • pp.561-571
    • /
    • 2022
  • An optical mirror assembly is an opto-mechanically coupled system as the optical and mechanical behaviors interact. In the assembly, a flexure mount attached to an optical mirror should be flexible in the radial direction, but rigid for the remaining degrees of freedom for supporting the mirror rigidly and suppressing the wavefront error of the optical mirror. This work presents an optimal design of the flexure mount using topology optimization with thermal stress constraint. By simplifying the optical mirror assembly into finite shell elements, topology optimization model was built for efficient design and good machinability. The stress at the boundary between the optical mirror and the mount together with the first natural frequency were applied as constraints for the optimization problem, while the objective function was set to minimize the strain energy. As a result, we obtained the optimal design of the flexure mount yielding the improved wavefront error, proper rigidity, and machinability.

On the wave propagations of football game ball after contacting with the player foot

  • Lei Sun;Cancan Wei;Fei Liu;Lijun Wang;Bo Ren
    • Geomechanics and Engineering
    • /
    • 재33권6호
    • /
    • pp.529-542
    • /
    • 2023
  • Wave propagation with high transverse deflection could affect the stability of the ball in its trajectory. For low stiffness balls similar to soccer and volleyball balls, the waves are more noticeable in comparison to other balls like ping-pong ball. On the other hand, the soccer balls are under heavy impact loads from shoots and contacting different objects in the field. The maximum recorded speed of a soccer ball after kicking is the 211 km/hr and the average maximum speed is around 112 km/hr. Therefore, in such speeds the aerodynamic forces become important which are directly related to geometrical shape of the ball. In this regard, the wave propagation in soccer ball is examined in the current study using large deformation shear deformable formulations. Classical relations of stress-strain components are taken into consideration along with minimum total energy principle. The final derived relations were solved by using harmonic differential quadrature method. The results are generally presented ion term of phase velocity as function of different influencing parameters of the materials, geometry and mass of the ball.

다하중 경우를 가지는 단순 지지된 깊은 보의 위상최적화에 대한 경험 (An Experience on the Topology Optimization of Simply Supported Deep Beam Structure with Multi-Load Cases)

  • 이상진;박경임
    • 한국공간구조학회논문집
    • /
    • 제5권3호
    • /
    • pp.83-89
    • /
    • 2005
  • 이 논문은 여러 개의 집중하중을 받는 깊은 보의 최적위상을 조사 분석하고 그 결과를 기술하였다. 본 연구에서는 최소화해야하는 변형에너지를 목적함수로 가정하고 구조물의 초기부피를 제약함수로 사용하였다. 물질내부에 존재하는 구멍의 크기를 조절하기 위하여 최적정기준법을 바탕으로 한 크기조절알고리듬을 도입하였다. 수치해석을 통하여 길은 보의 최적위상과 관련한 위상최적화 파라미터의 민감도를 조사하였고, 필터링과정이 최적위상에 끼치는 영향을 심도 있게 조사하였다. 수치해석결과로부터 깊은 보의 최적위상은 최적화 파라미터와 깊은 연관되어 있고 필터링과정이 최적위상을 찾는데 매우 중요한 역할을 하는 것으로 나타났다.

  • PDF

Shear correction factors of a new exponential functionally graded porous beams

  • Mohammed Sid Ahmed Houari;Aicha Bessaim;Tarek Merzouki;AhmedAmine Daikh;Aman Garg;Abdelouahed Tounsi;Mohamed A. Eltaher;Mohamed-Ouejdi Belarbi
    • Structural Engineering and Mechanics
    • /
    • 제89권1호
    • /
    • pp.1-11
    • /
    • 2024
  • This article introduces a novel analytical model for examining the impact of porosity on shear correction factors (SCFs) in functionally graded porous beams (FGPB). The study employs uneven and logarithmic-uneven modified porosity-dependent power-law functions, which are distributed throughout the thickness of the FGP beams. Additionally, a modified exponential-power law function is used to estimate the effective mechanical properties of functionally graded porous beams. The correction factor plays a crucial role in this analysis as it appears as a coefficient in the expression for the transverse shear stress resultant. It compensatesfor the assumption that the shear strain is uniform across the depth of the cross-section. By applying the energy equivalence principle, a general expression for static SCFs in FGPBs is derived. The resulting expression aligns with the findings obtained from Reissner's analysis, particularly when transitioning from the two-dimensional case (plate) to the one-dimensional case (beam). The article presents a convenient algebraic form of the solution and provides new case studies to demonstrate the practicality of the proposed formulation. Numerical results are also presented to illustrate the influence of porosity distribution on SCFs for different types of FGPBs. Furthermore, the article validates the numerical consistency of the mechanical property changesin FG beams without porosity and the SCF by comparing them with available results.

개선된 저차 전단 변형 이론을 이용한 전기, 기계 하중을 받는 스마트 복합재 구조물의 연성 해석 (A Coupled Analysis of Smart Plate Under Electro-Mechanical Loading Using Enhanced Lower-Order Shear Deformation Theory)

  • 오진호;조맹효;김준식
    • 대한기계학회논문집A
    • /
    • 제31권1호
    • /
    • pp.121-128
    • /
    • 2007
  • Enhanced lower order shear deformation theory is developed in this study. Generally, lower order theories are not adequate to predict accurate deformation and stress distribution through the thickness of laminated plate. For the accurate prediction of detailed stress and deformation distributions through the thickness, higher order zigzag theories have been proposed. However, in most cases, simplified zigzag higher order theory requires $C_1$, shape functions in finite element implementation. In commercial FE softwares, $C_1$, shape functions are not so common in plate and shell analysis. Thus zigzag theories are useful for the highly accurate prediction of thick composite behaviors but they are not practical in the sense that they cannot be used conveniently in the commercial package. In practice, iso-parametric $C_0$ plate model is the standard model for the analysis and design of composite laminated plates and shells. Thus in the present study, an enhanced lower order shear deformation theory is developed. The proposed theory requires only $C_0$ shape function in FE implementation. The least-squared energy error between the lower order theory and higher order theory is minimized. An enhanced lower order shear deformation theory(ELSDT) in this paper is proposed for smart structure under complex loadings. The ELSDT is constructed by the strain energy transformation and fully coupled mechanical, electric loading cases are studied. In order to obtain accurate prediction, zigzag in-plane displacement and transverse normal deformation are considered in the deformation Held. In the electric behavior, open-circuit condition as well as closed-circuit condition is considered. Through the numerous examples, the accuracy and robustness of present theory are demonstrated.

알콜과 식이지방량이 흰쥐의 성장, 간기능 및 혈액의 생화화적 특성에 미치는 영향 (Effects of Alcohol Consumption and Fat Content in Diet on Growth, Hepatic Function and Biochemical Indices of Blood in Rat)

  • 최영선
    • Journal of Nutrition and Health
    • /
    • 제20권6호
    • /
    • pp.432-441
    • /
    • 1987
  • 흰쥐에서의 알콜섭취와 식이지방랴잉 성장과 간기능 및 혈액의 생화학적 특성에 미치는 영향을 조사하기 위하여 160g 내외의 Sprague-Dawley 종 숫쥐 48마리를 4군, 즉 고지방비알콜군, 고지방 알콜군, 저지방비알콜군, 저지방알콜군으로 나누어 3주간 6주간 사육하였다. 저지방과 고지방식이는 총 Calorie의 12%와 30%지방 Calorie로 하였고 알콜은 급수용 물에 1-% ethanol로 하였고 알콜은 급수용 물에 10% ethanol을 섞어 공급하였다. 만성적인 알콜섭취에서는 알콜 자체와 영양결핍이 상호작용하여 여러가지 생화학적 임상학적 변화를 초래하게 되므로, 본 연구에서는 식이에 lipotropic agents인 choline과 nethionine을 포함한 모든 필수영영소들을 충분히 제공한 상태에서 알콜과 식이지방의 효과를 측정하고자 하였다. 총 Calorie는 고지방알콜 군에서 21.86% 저지방알콜군에서는 23.61%에 해당 하여 moderate drinking에 해당하였다. 성장에 미치는 영향은 저지방알콜군이 유의하게 저조한 성장을 보였으며 낮은 식이효율을 나타냈다. 혈장내 triglyceride농도는 알콜섭취군에서 증가하였고 섭췻기간이 길수록 그 차이는 커진 반면에 식이지방 함량에 따른 차이는 보이지 않았다. 총 cholesterol과 Hdl-cholesterol농도는 군간의 차이를 보이지 않았으며 vitamin $B_1$상태를 나타내는 trighyceride 활성과 TPP effrct도 군가의 차이가 없었다. 간기능을 간접적으로 시사하는 혈청 GPT활성과 간 mitochondria의 respiration rate도 알콜섭취와 지방함량에 따른 차이를 보여주지 않았다.

  • PDF

원전의 항공기 충돌 리스크 평가를 위한 대표매개변수 선정 연구 (A Study on the Determination of Reference Parameter for Aircraft Impact Induced Risk Assessment of Nuclear Power Plant)

  • 신상섭;함대기;최인길
    • 한국전산구조공학회논문집
    • /
    • 제27권5호
    • /
    • pp.437-450
    • /
    • 2014
  • 원전의 항공기 충돌 리스크 평가에 사용되는 대표매개변수를 선정하기 위한 방법론을 개발하였다. 대상 원전은 국내의 대표적인 경수로형 원전 중 하나로 선정하여 3차원 유한요소 해석 모델을 구축하였다. 콘크리트 재료모델에는 소성손상모델이 적용되었으며, 강재는 다중선형곡선거동을 가지는 것으로 모델링하였다. 운동에너지, 전체 충격량, 최대 충격량, 최대 하중등 4종의 대표매개변수 후보군을 선정하였다. 각각의 매개변수 후보군은 모두 충돌 속도와 질량의 함수로 표현되므로, 충돌속도 50~200m/s, 항공유량 30~90%의 범위에 대하여 매개변수값을 도출하고 충돌 해석을 수행하여, 충돌 시의 구조 응답과의 상관관계를 분석하였다. 모든 해석에서 항공기의 기종은 보잉767 기종으로 선정하였다. 충돌해석에는 Riera의 하중-시간 이력 함수를 이용한 해석기법을 적용하였다. 매개변수와 충돌 시 응답의 상관관계 적합성은 결정계수값을 이용하여 분석하였다. 4 종의 대표매개변수 후보군 중 최대 하중값이 가장 직관적일 뿐만 아니라 본 연구에서의 해석 케이스에서는 응답과의 상관성도 가장 뛰어난 것으로 나타남에 따라, 항공기충돌 리스크 평가를 위하여 가장 적합한 매개변수라 할 수 있을 것으로 판단되었다.

경사진 돌출부가 있는 비축대칭 복합단조의 상계요소해석 (UBET Analysis of Combined Forging of Non-Axisymmetric Shapes With Inclined Protrusion)

  • 윤정호;양동열
    • 대한기계학회논문집
    • /
    • 제14권1호
    • /
    • pp.1-12
    • /
    • 1990
  • 본 연구에서는 자유단조용 프레서를 이용하여 돌출부가 있는 비대칭 중공형단 조 제품을 생산할 수 있도록 금형장치를 설계.제작하고, Fig.1에서 보는 바와 같이 경 사진 돌출부가 있는 비축대칭 복합단조에 UBET를 적용하여 해석하였다. 단조시편은 원주형태를 가지도록 하였다. 즉 원주형 소재가 요구되는 비축대칭 단조제품으로 변 형되는 과정에서 단조하중, 재료가 돌출부를 충만하도록 하는 유동특성, 재료가 돌출 부로 차들어가는 속도 등에 영향을 주는 인자(예:펀치 직경의 크기, 금형 상하면의 각 도)의 특성을 이론적으로 해석하고 실험으로 확인하였다.

Differential Proteomic Analysis of Secreted Proteins from Cutinase-producing Bacillus sp. SB-007

  • Ban, Yeon-Hee;Jeon, Mi-Ri;Yoon, Ji-Hee;Park, Jae-Min;Um, Hyun-Ju;Kim, Dae-Soon;Jung, Seung-Ki;Kim, Keun-Young;Lee, Jee-Won;Min, Ji-Ho;Kim, Yang-Hoon
    • The Plant Pathology Journal
    • /
    • 제24권2호
    • /
    • pp.191-201
    • /
    • 2008
  • Bacillus sp. SB-007 was isolated from pea leaves harvested from the southwestern parts of South Korea through screening on a minimal medium containing 0.2% purified cutin for its ability to induce the cutinase production. However, no cutinase was produced when it was grown in a minimal medium containing 0.2% glucose. A proteomic approach was applied to separate and characterize these differentially secreted proteins. The expression level of 83 extracellular proteins of the cutinase-producing Bacillus sp. strain SB-007 incubated in a cutinase-induced medium increased significantly as compared with that cultured in a non cutinase-induced medium containing glucose. The extracellular proteome of Bacillus sp. SB-007 includes proteins from different functional classes, such as enzymes for the degradation of various macromolecules, proteins involved in energy metabolism, sporulation, transport/binding proteins and lipoproteins, stress inducible proteins, several cellular molecule biosynthetic pathways and catabolism, and some proteins with an as yet unknown function. In addition, the two protein spots showed little similarities with the known lipolytic enzymes in the database. These secreted proteome analysis results are expected to be useful in improving the Bacillus strains for the production of industrial cutinases.

An efficient hybrid TLBO-PSO-ANN for fast damage identification in steel beam structures using IGA

  • Khatir, S.;Khatir, T.;Boutchicha, D.;Le Thanh, C.;Tran-Ngoc, H.;Bui, T.Q.;Capozucca, R.;Abdel-Wahab, M.
    • Smart Structures and Systems
    • /
    • 제25권5호
    • /
    • pp.605-617
    • /
    • 2020
  • The existence of damages in structures causes changes in the physical properties by reducing the modal parameters. In this paper, we develop a two-stages approach based on normalized Modal Strain Energy Damage Indicator (nMSEDI) for quick applications to predict the location of damage. A two-dimensional IsoGeometric Analysis (2D-IGA), Machine Learning Algorithm (MLA) and optimization techniques are combined to create a new tool. In the first stage, we introduce a modified damage identification technique based on frequencies using nMSEDI to locate the potential of damaged elements. In the second stage, after eliminating the healthy elements, the damage index values from nMSEDI are considered as input in the damage quantification algorithm. The hybrid of Teaching-Learning-Based Optimization (TLBO) with Artificial Neural Network (ANN) and Particle Swarm Optimization (PSO) are used along with nMSEDI. The objective of TLBO is to estimate the parameters of PSO-ANN to find a good training based on actual damage and estimated damage. The IGA model is updated using experimental results based on stiffness and mass matrix using the difference between calculated and measured frequencies as objective function. The feasibility and efficiency of nMSEDI-PSO-ANN after finding the best parameters by TLBO are demonstrated through the comparison with nMSEDI-IGA for different scenarios. The result of the analyses indicates that the proposed approach can be used to determine correctly the severity of damage in beam structures.