• Title/Summary/Keyword: mathematical structures

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Sequential Design of Experiment Based Topology Optimization (순차적 실험계획법을 이용한 위상 최적 설계)

  • Song, Chi-Oh;Park, Soon-Ok;Yoo, Jeong-Hoon
    • Transactions of the Society of Information Storage Systems
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    • v.3 no.4
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    • pp.178-182
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    • 2007
  • Topology optimization methods are classified into two methods such as the density method and the homogenization method. Those methods need to consider relationships between the material property and the density of each element in a design domain, the relaxation of the design space, etc. However, it is hard to apply on some cases due to the complexity to compose the design objective and its sensitivity analysis. In this paper, a modified topology optimization is proposed to assist designers who do not have mathematical or theoretical background of the topology optimization. In this study, optimal topology of structures can be achieved by the sequential design of experiment (DOE) and the sensitivity analysis. We conducted the DOE with an orthogonal array and the sensitivity analysis of design variables to determine sensitive variables used for connectivity between elements. The modified topology optimization method has advantages such as freedom from penalizing intermediate values and easy application with basic DOE concept.

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Schentific analysis and interpretation of visual structure of feng-shui : Case study of Hahoi and Yangdong villages (풍수지리의 시각적 구조의 과학적 분석파 해석 -하회, 양동 마을의 사례 연구-)

  • 현중영;박찬용
    • Journal of the Korean Institute of Landscape Architecture
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    • v.25 no.1
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    • pp.124-134
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    • 1997
  • The primary purpose of this research is to scientifically investigate visual structure of Korean feng-shui at the level of village settlement. This study deals with Hahoi and Yangdong villages of which feng-shui is regarded highly fit to traditional feng-shui principles. Methodologically this research utilizes analytical tools of geographical information systems and statistical analysis methods, Visual structures of the villages'feng-shui are analyzed in terms of elevation, orientation, gradient of slope and relative dominance of visibility of major hills. A mathematical model is suggested to quantify facets of the villages'lung-shui with reference to slope trends. The quantitative analysis results indicate that both villages have good feng-shui. Hahoi village has an excellent feng-shui attributable to a near perfect harmony between water and terrain while Yangdong village has an effective feng-shui facet for conserving energy in terms of microclimate. Principles of fang-shui have potentials to be developed as a holistic planning and design language. Further in-depth research on feng-shui needed to accomplish this goal.

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Synthesis Peculiarities of Nanocomposite Structures by Abrasive-reaction Interactions

  • Ketegenov, T.;Tyumentseva, O.;Kasymbecova, D.;Korobova, N.;Katranova, Z.;Urakaev, F.
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2005.07a
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    • pp.643-644
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    • 2005
  • New methods of nano-sized material and composite coating preparations have been considered on the base of mathematical model of abrasion-reaction interaction of milling and grinding bodies in planetary centrifugal mill. The essence of the method is the abrasive and oxidative wear of the milling bodies and amorphous (better inert) additives. Interactions between them has been supplied the necessary impulse of pressure and temperature on the impact-frictional contacts and promoted chemical processes. The offered method can find application for such processing as sintering and geological minerals opening.

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A Study on Constraint Accumulation in Mathematical Programming Problems Using Envelope Functions (덮개 함수를 이용한 제한 조건 누적 최적화 기법에 관한 연구)

  • Lee, Byeong-Chae;Lee, Jeong-Jun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.4
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    • pp.720-730
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    • 2002
  • Automated design of large structures requires efficient and accurate optimization algorithms because of a large number of design variables and design constraints. The objective of this study is to examine the characteristics of the Kreisselmeier -Steinhauser envelope function and to investigate va tidily of accumulating constraint functions into a small number of constraint functions or even into a single constraint function. The commercial package DOT is adopted as a local optimizer. The optimum results using the envelope function are compared with those of the conventional method for a number of numerical examples and the differences between them are shown to be negligible.

Shear buckling analysis of laminated plates on tensionless elastic foundations

  • Dong, Jianghui;Ma, Xing;Zhuge, Yan;Mills, Julie E.
    • Steel and Composite Structures
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    • v.24 no.6
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    • pp.697-709
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    • 2017
  • The current study addresses the local buckling analysis of an infinite thin rectangular symmetrically laminated composite plate restrained by a tensionless Winkler foundation and subjected to uniform in-plane shear loading. An analytic method (i.e., one-dimensional mathematical method) is used to achieve the analytical solution estimate of the contact buckling coefficient. In addition, to study the effect of ply angle and foundation stiffness on the critical buckling coefficients for the laminated composite plates, the parametric studies are implemented. Moreover, the convergence for finite element (FE) mesh is analysed, and then the examples in the parametric study are validated by the FE analysis. The results show that the FE analysis has a good agreement with the analytical solutions. Finally, an example with the analytical solution and FE analysis is presented to demonstrate the availability and feasibility of the presented analytical method.

Static analysis of singly and doubly curved panels on rectangular plan-form

  • Bahadur, Rajendra;Upadhyay, A.K.;Shukla, K.K.
    • Steel and Composite Structures
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    • v.24 no.6
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    • pp.659-670
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    • 2017
  • In the present work, an analytical solution for the static analysis of laminated composites, functionally graded and sandwich singly and doubly curved panels on the rectangular plan-form, subjected to uniformly distributed transverse loading is presented. Mathematical formulation is based on the higher order shear deformation theory and principle of virtual work is applied to derive the equations of equilibrium subjected to small deformation. A solution methodology based on the fast converging finite double Chebyshev series is used to solve the linear partial differential equations along with the simply supported boundary condition. The effect of span to thickness ratio, radius of curvature to span ratio, stacking sequence, power index are investigated. The accuracy of the solution is checked by the convergence study of non-dimensional central deflection and moments. Present results are compared with those available in the literature.

Shear-deformable finite element for free vibrations of laminated composite beams with arbitrary lay-up

  • Kahya, Volkan;Karaca, Sebahat;Vo, Thuc P.
    • Steel and Composite Structures
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    • v.33 no.4
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    • pp.473-487
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    • 2019
  • A shear-deformable finite element model (FEM) with five nodes and thirteen degrees of freedom (DOFs) for free vibrations of laminated composite beams with arbitrary lay-up is presented. This model can be capable of considering the elastic couplings among the extensional, bending and torsional deformations, and the Poisson's effect. Lagrange's principle is employed in derivation of the equations of motion, and thus the element matrices are obtained. Comparisons of the present element's results with those in experiment, available literature and the 3D finite element analysis software (ANSYS(R)) are made to show its accuracy. Some further results are given as referencing for the future studies in vibrations of laminated composite beamst.

Model based control of filter run time on potable water treatment plant

  • Jusic, Suvada;Milasinovic, Zoran
    • Coupled systems mechanics
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    • v.4 no.2
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    • pp.157-172
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    • 2015
  • Control of potable water treatment plant (PWTP) is nowadays based on experience. The aim of this article is to show that model based control of treatment process is more efficient than process operation based on experience. Stimela environment is used for modeling of processes of potable water treatment. Application of the model was conducted on PWTP "Crkvice" in Zenica (BiH). This plant has used conventional rapid sand filters. By effective application of the model it is determined the optimal filter run time for different input turbidity of raw water. This results in the possibility of reducing the consumption of backwashing water, lower costs for its pumping and reducing the amount of coagulants. In the existing practice, based on experience, these benefits are not used.

Proposed approach for determination of tributary areas for scattered pressure taps

  • Aly, Aly Mousaad
    • Wind and Structures
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    • v.16 no.6
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    • pp.617-627
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    • 2013
  • In wind load calculations based on pressure measurements, the concept of 'tributary area' is usually used. The literature has less guidance for a systematic computational methodology for calculating tributary areas, in general, and for scattered pressure taps, in particular. To the best of the author's knowledge, there is no generic mathematical equation that helps calculate the tributary areas for irregular pressure taps. Traditionally, the drawing of tributary boundaries for scattered and intensively distributed taps may not be feasible (a time and resource consuming task). To alleviate this problem, this paper presents a proposed numerical approach for tributary area calculations on rectangular surfaces. The approach makes use of the available coordinates of the pressure taps and the dimensions of the surface. The proposed technique is illustrated by two application examples: first, quasi-regularly distributed pressure taps, and second, taps that have scattered distribution on a rectangular surface. The accuracy and the efficacy of the approach are assessed, and a comparison with a traditional method is presented.

Proper orthogonal decomposition in wind engineering - Part 2: Theoretical aspects and some applications

  • Carassale, Luigi;Solari, Giovanni;Tubino, Federica
    • Wind and Structures
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    • v.10 no.2
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    • pp.177-208
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    • 2007
  • Few mathematical methods attracted theoretical and applied researches, both in the scientific and humanist fields, as the Proper Orthogonal Decomposition (POD) made throughout the last century. However, most of these fields often developed POD in autonomous ways and with different names, discovering more and more times what other scholars already knew in different sectors. This situation originated a broad band of methods and applications, whose collation requires working out a comprehensive viewpoint on the representation problem for random quantities. Based on these premises, this paper provides and discusses the theoretical foundations of POD in a homogeneous framework, emphasising the link between its general position and formulation and its prevalent use in wind engineering. Referring to this framework, some applications recently developed at the University of Genoa are shown and revised. General remarks and some prospects are finally drawn.