• 제목/요약/키워드: Lower-upper solutions method

검색결과 70건 처리시간 0.02초

A Study on the Uncertainty of Structural Cross-Sectional Area Estimate by using Interval Method for Allowable Stress Design

  • Lee, Dongkyuc;Park, Sungsoo;Shin, Soomi
    • Architectural research
    • /
    • 제9권1호
    • /
    • pp.31-37
    • /
    • 2007
  • This study presents the so-called Modified Allowable Stress Design (MASD) method for structural designs. The objective of this study is to qualitatively estimate uncertainties of tensile steel member's cross-sectional structural designs and find the optimal resulting design which can resist all uncertainty cases. The design parameters are assumed to be interval associated with lower and upper bounds and consequently interval methods are implemented to non-stochastically produce design results including the structural uncertainties. By seeking optimal uncertainty combinations among interval parameters, engineers can qualitatively describe uncertain design solutions which were not considered in conventional structural designs. Under the assumption that structures have basically uncertainties like displacement responses, the safety range of resulting designs is represented by lower and upper bounds depending on given tolerance error and structural parameters. As a numerical example uncertain cross-sectional areas of members that can resist applied loads are investigated and it demonstrates that the present design method is superior to conventional allowable stress designs (ASD) with respect to a reliably structural safety as well as an economical material.

상하단이 자유롭게 수평동요하는 수중 조파판에 의해 생성된 수면파의 근사해석 (Linear Analysis of Water Surface Waves Generated by Submerged Wave Board Whose Upper and Lower Ends Oscillate Horizontally Freely)

  • 김효철;오정근;권종오;류재문
    • 대한조선학회논문집
    • /
    • 제56권5호
    • /
    • pp.418-426
    • /
    • 2019
  • To derive a simplified analytic solution which can be utilized as a fundamental solution for the wave maker design, a segment of the wave board has been idealized as a submerged line segment in a two dimensional domain of a wave flume. The lower end of the line segment could be located at arbitrary depth of the wave flume and the upper end of the board could be also submerged to any depth from the free surface. The freely oscillating motion of the wave board is assumed to be defined by determining the condition of horizontal oscillation on both ends differently. The submerged wave board oscillating in horizontal direction could be specified by selecting the amplitude, frequency and the phase lag differently on lower and upper ends of the board. The simplified two dimensional wave generated by the wave board segment has been obtained by the first order perturbation method. It is found that the general solution of the freely oscillating wave board in two dimensional domain could be decomposed into the solution of flap motion with lower end hinge and swing motion with upper end hinge. The case study of the analytic solutions has been carried out to evaluate the effect on the wave height due to the difference of oscillation frequency, phase difference and variation of stroke between for the motion of both ends. It is found that the solution of the freely oscillating wave board could be utilized for the development of high performance wavemaker especially for irregular waves.

Dynamic analysis of a magneto-electro-elastic material with a semi-infinite mode-III crack under point impact loads

  • Feng, Wenjie;Liu, Jinxi
    • Structural Engineering and Mechanics
    • /
    • 제27권5호
    • /
    • pp.609-623
    • /
    • 2007
  • The problem of a semi-infinite magneto-electro-elastically impermeable mode-III crack in a magneto-electro-elastic material is considered under the action of impact loads. For the case when a pair of concentrated anti-plane shear impacts, electric displacement and magnetic induction impacts are exerted symmetrically on the upper and lower surfaces of the crack, the magneto-electro-elastic field ahead of the crack tip is determined in explicit form. The dynamic intensity factors and dynamic energy density factor are obtained. The method adopted is to reduce the mixed initial-boundary value problem, by using the Laplace and Fourier transforms, into three simultaneous dual integral equations, one of which is converted into an Abel's integral equation and the others into a singular integral equation with Cauchy kernel. Based on the obtained fundamental solutions of point impact loads, the solutions of two kinds of different loading cases are evaluated by integration. For some particular cases, the present results reduce to the previous results.

구속조건을 가진 최적화기법을 이용한 골조구조물의 유한요소모델 개선기법 (Finite Element Model Updating of Framed Structures Using Constrained Optimization)

  • 유은종;김호근
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2007년도 추계학술대회논문집
    • /
    • pp.446-451
    • /
    • 2007
  • An Improved finite element model updating method to address the numerical difficulty associated with ill-conditioning and rank-deficiency. These difficulties frequently occur in model updating problems, when the identification of a larger number of physical parameters is attempted than that warranted by the information content of the experimental data. Based on the standard Bounded Variables Least-squares (BVLS) method, which incorporates the usual upper/lower-bound constraints, the proposed method is equipped with new constraints based on the correlation coefficients between the sensitivity vectors of updating parameters. The effectiveness of the proposed method is investigated through the numerical simulation of a simple framed structure by comparing the results of the proposed method with those obtained via pure BVLS and the regularization method. The comparison indicated that the proposed method and the regularization method yield approximate solutions with similar accuracy.

  • PDF

Dynamic response analysis for structures with interval parameters

  • Chen, Su Huan;Lian, Hua Dong;Yang, Xiao Wei
    • Structural Engineering and Mechanics
    • /
    • 제13권3호
    • /
    • pp.299-312
    • /
    • 2002
  • In this paper, a new method to solve the dynamic response problem for structures with interval parameters is presented. It is difficult to obtain all possible solutions with sharp bounds even an optimum scheme is adopted when there are many interval structural parameters. With the interval algorithm, the expressions of the interval stiffness matrix, damping matrix and mass matrices are developed. Based on the matrix perturbation theory and interval extension of function, the upper and lower bounds of dynamic response are obtained, while the sharp bounds are guaranteed by the interval operations. A numerical example, dynamic response analysis of a box cantilever beam, is given to illustrate the validity of the present method.

The investigation crack problem through numerical analysis

  • Yaylaci, Murat
    • Structural Engineering and Mechanics
    • /
    • 제57권6호
    • /
    • pp.1143-1156
    • /
    • 2016
  • This paper presents a comparative study of finite element method (FEM) and analytical method for the plane problem of a layered composite containing an internal perpendicular crack in literature. The layered composite consists of two elastic layers having different elastic constants and heights. External load is applied to the upper elastic layer by means o a rigid punch and the lower elastic layer rests on two simple supports. Numerical simulations are realized by the world wide code ANYS software. Two dimensional analysis of the problem is carried out and the results are verified by comparison with solutions reported in literature. Main goal of the numerical simulation is to investigate the normal stress ${\sigma}_x$(0, y), stress intensity factors at the crack factor and the crack opening displacements.

FWT를 이용한 비선형계의 계층별 최적제어 (Hierarchical Optimal Control of Non-linear Systems using Fast Walsh Transform)

  • 정제욱;조영호;임국현;안두수
    • 대한전기학회논문지:시스템및제어부문D
    • /
    • 제49권8호
    • /
    • pp.415-422
    • /
    • 2000
  • This paper presents a new algorithm for hierarchical optimal control of nonlinear systems. The proposed method is simple because the solutions are obtained by only exchanging informations of coefficient vector based on interaction prediction principle and FWT(fast Walsh transform) in upper and lower level. Since we solve two point boundary problem with Picard's iterative method and the backward integral operational matrix of Walsh function to obtain the optimal vector of each independent subsystem, the algorithm is simple and its operation is fast without inverse matrix and kronecker product operation. In simulation, the proposed algorithm's usefulness is proved by comparison with the global optimal control methods.

  • PDF

솔-젤법으로 제작한 PZT 이종층 박막의 구조적 특성 (Microstructural Properties of PZT Heterolayered Thin Films Prepared by Sol-Gel Method)

  • 이성갑;김경태;정장호;박인길;이영희
    • 한국전기전자재료학회:학술대회논문집
    • /
    • 한국전기전자재료학회 1999년도 추계학술대회 논문집
    • /
    • pp.311-314
    • /
    • 1999
  • Ferroelectric PZT heterolayered thin films were fabricated by spin coating method on the Pt/Ti/SiO$_2$/Si substrate using PZT(10/90) and PZT(90/10) metal alkoxide solutions. All PZT heterolayered films showed a homogeneous grain structure without presence of the rosette structure. It can be assumed that the lower PZT layers a role of nucleation site or seeding layer for the formation of the upper PZT layer. Zr and Ti diffusion into the Pt electrode were mainly distributed at the surface of Pt electrode beneath the PZT/Pt interface. The PZT/Pt interfacial layer showed a microstructure characterized by a grain phase surrounded by a Pb-deficient pyrochlore matrix phase. The relative dielectric constant and the dielectric loss of the PZT-6 film were 567 and 3.6, respectively.

  • PDF

Hydrodynamic performance of a vertical slotted breakwater

  • George, Arun;Cho, Il Hyoung
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • 제12권1호
    • /
    • pp.468-478
    • /
    • 2020
  • The wave interaction problem with a vertical slotted breakwater, consisting of impermeable upper, lower parts and a permeable middle part, has been studied theoretically. An analytical model was presented for the estimation of reflection and transmission of monochromatic waves by a slotted breakwater. The far-field solution of the wave scattering involving nonlinear porous boundary condition was obtained using eigenfunction expansion method. The empirical formula for drag coefficient in the near-field, representing energy dissipation across the slotted barrier, was determined by curve fitting of the numerical solutions of 2-D channel flow using CFD code StarCCM+. The theoretical model was validated with laboratory experiments for various configurations of a slotted barrier. It showed that the developed analytical model can correctly predict the energy dissipation caused by turbulent eddies due to sudden contraction and expansion of a slotted barrier. The present paper provides a synergetic approach of the analytical and numerical modelling with minimum CPU time, for better estimation of the hydrodynamic performance of slotted breakwater.

의복 종류별 수선 실태조사와 수선방법에 관한 분석 (A Study on the Actual Condition of Repair by Clothing Types and an Analysis of Repair Methods)

  • 김연희;박미경;송정아
    • 한국의류산업학회지
    • /
    • 제25권3호
    • /
    • pp.324-332
    • /
    • 2023
  • Consumers are addressing the issue of dimensional dissatisfaction by repairing clothes, experimenting with style changes, and looking for cost-effective solutions that result in better-fitting garments. This study investigated the repair status by type of clothing, analyzed the method and frequency of repair by type of clothing category and season, and analyzed consumer redesign activities. The findings revealed that upper garments, such as T-shirts, jumpers, jackets, dress shirts, and dresses, were frequently repaired. The common modifications to upper garments included(in order of frequency) shortening sleeve length, shortening overall length, reducing garment width, zipper repair, and adjusting sleeve width. Lower garments, such as pants, jeans, skirts, and training pants, followed in terms of repair frequency. The modifications to lower garments included(in order of frequency) shortening length, reducing width, adjusting waist width (both narrowing and widening), replacing elastic bands, zipper repair, and lengthening. Repairs were more frequently conducted in the order of autumn, winter, spring, and summer. Repair methods varied depending on the clothing type and alterations involved to the length and width of garments and the replacement or removal of old sections. Redesigning clothing as a recycling method was found to enhance the cost-effectiveness of the collection. The study further confirmed the sustainability aspect of redesigning and reusing clothing.