• Title/Summary/Keyword: Constraints Theory

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Static analysis of laminated and sandwich composite doubly-curved shallow shells

  • Alankaya, Veysel;Oktem, Ahmet Sinan
    • Steel and Composite Structures
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    • v.20 no.5
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    • pp.1043-1066
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    • 2016
  • A new analytical solution based on a third order shear deformation theory for the problem of static analysis of cross-ply doubly-curved shells is presented. The boundary-discontinuous generalized double Fourier series method is used to solve highly coupled linear partial differential equations with the mixed type simply supported boundary conditions prescribed on the edges. The complementary boundary constraints are introduced through boundary discontinuities generated by the selected boundary conditions for the derivation of the complementary solution. The numerical accuracy of the solution is compared by studying the comparisons of deflections, stresses and moments of symmetric and anti-symmetric laminated shells with finite element results using commercially available software under uniformly distributed load. Results are in good agreement with finite element counterparts. Additional results of the symmetric and anti-symmetric laminated and sandwich shells under single point load at the center and pressure load, are presented to provide data for the unsolved boundary conditions, benchmark comparisons and verifications.

Free Vibrations of Horizontally Curved Beams Resting on Winkler-Type Foundations (Winkler형 지반위에 놓인 수평 곡선보의 자유진동)

  • 오상진;이병구;이인원
    • Journal of KSNVE
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    • v.8 no.3
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    • pp.524-532
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    • 1998
  • The purpose of this paper is to investigate the free vibrations of horizontally curved beams resting on Winkler-type foundations. Based on the classical Bernoulli-Euler beam theory, the governing differential equations for circular curved beams are derived and solved numerically. Hinged-hinged, hinged-clamped and clamped-clamped end constraints are considered in numerical examples. The free vibration frequencies calculated using the present analysis have been compared with the finite element's results computed by the software ADINA. Numerical results are presented to show the effects on the natural frequencies of curved beams of the horizontal rise to span length ratio, the foundation parameter, and the width ratio of contact area between the beam and foundation.

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Aeroelasitic Optimum Design for Composite Rotor Blades (복합재료 로우터 블레이드에 대한 공력탄성학적 최적설계)

  • Kwon, Hyuk-Jun;Cho, Maeng-Hyo;Choi, Ji-Hoon;Lee, In
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.1222-1227
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    • 2000
  • The optimization study are carried out for helicopter rotor blades with composite box-beam spar. The objective function is to minimize the weight of rotor blades subject to frequency, aeroelastic stability and failure constraints. Design variables include the number of ply and ply angles of the laminated walls. The beam model of a hinge less rotor blade is based on a large deflection beam theory to describe the arbitrary large deflections and rotations. The p-k method and unsteady two dimensional strip theory are used to calculate aeroelastic stability boundary.

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Thermal Buckling of Thick Laminated Composite Plates under Uniform Temperature Distribution (균일분포 온도하의 두꺼운 복합 재료 적층판의 열적 좌굴 해석)

  • Lee, Young-Shin;Lee, Yeol-Wha;Yang, Myung-Seog;Park, Bock-Sun;Lee, Jong-Soo
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.7 s.94
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    • pp.1686-1699
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    • 1993
  • In this paper, the thermal buckling of thick composite angle-ply laminates subject to uniform temperature distribution is studied. For the plates of 4-edges simply supported condition and those of 4-edges clamped condition, the critical buckling temperatue is derived, using tile finite element method based on the shear deformation theory. The effects of lamination angle, layer number, laminate thickness, plate aspect ratio and boundary constraints upon the critical buckling temperature are presented.

Variance Analysis for State Estimation In Communication Channel with Finite Bandwidth (유한한 대역폭을 가지는 통신 채널에서의 상태 추정값에 대한 분산 해석)

  • Fang, Tae-Hyun;Choi, Jae-Weon
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.693-698
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    • 2000
  • Aspects of classical information theory, such as rate distortion theory, investigate how to encode and decode information from an independently identically distributed source so that the asymptotic distortion rate between the source and its quantized representation is minimized. However, in most natural dynamics, the source state is highly corrupted by disturbances, and the measurement contains the noise. In recent coder-estimator sequence is developed for state estimation problem based on observations transmitted with finite communication capacity constraints. Unlike classical estimation problems where the observation is a continuous process corrupted by additive noises, the condition is that the observations must be coded and transmitted over a digital communication channel with finite capacity. However, coder-estimator sequence does not provide such a quantitative analysis as a variance for estimation error. In this paper, under the assumption that the estimation error is Gaussian distribution, a variance for coder-estimation sequence is proposed and its fitness is evaluated through simulations with a simple example.

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Size and Shape Discrete Optimum Design of Planar and Spacial Steel Structures Using Fuzzy-Genetic Algorithms (퍼지-유전자알고리즘에 의한 평면 및 입체 강구조물의 단면/형상 이산화 최적설계)

  • Park, Choon-Wook;Yuh, Baeg-Youh;Kim, Su-Won
    • Proceeding of KASS Symposium
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    • 2005.05a
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    • pp.236-245
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    • 2005
  • This paper was developed the discrete optimum design program by the refined fuzzy-genetic algorithms based on the genetic algorithms and fuzzy theory. The optimum design of this paper can perform both size and shape optimum design for planar and spacial steel structures. In this paper, the objective function is the weight of steel structures and the constraints are the design limits defined by design and buckling strengths, displacements and thicknesses. The design variables are dimensions and coordinates of steel sections. Design examples are given to show the applicability of the discrete optimum design program of this paper.

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Design of Porcess Parameters in Axisymmetric Multi-step Deep Drawing by a Finite Element Inverse Method (유한요소 역 해석을 이용한 축대칭 다단계 박판성형에서의 공정변수 설계에 관한 연구)

  • Cho, Cheon-Soo;Lee, Choong-Ho;Huh, Hoon
    • Transactions of Materials Processing
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    • v.6 no.4
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    • pp.300-310
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    • 1997
  • A finite element inverse method is introduced for direct prediction of blank shapes, strain distributions, and reliable intermediate shapes from desired final shapes in axisymmetric multi-step deep drawing processes. This mothod enables the determination of process disign. The approach deals with the Hencky's deformation theory. Hill's second order yield criterion, simplified boundary conditions, and minimization of plastic work with constraints. The algorithm developed is applied to motor case forming, and cylindrical cup drawing with the large limit drawing ratio so that it confirms its validity by demonstrating resonably accurate numerical results of each problem. Numerical examples reveal the reason of difficulties in motor case forming with corresponding limit diagrams.

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Real-time Delivery Estimation in Build-to-order Manufacturing (주문형 생산에서의 실시간 납기 산정)

  • 홍태영;강무진;박세형;이상봉
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.101-104
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    • 2002
  • Leading companies have embraced the new economy with new and innovative BTO models. Instead of conventional company-oriented manufacturing scheduling, customer-oriented scheduling method attracts more and more attention. To evaluate the delivery of customer order in advance, the real production capacity as well as procurement lead time should be taken into account. This paper describes a quasi-real-time order delivery estimation system using TOC(Theory of Constraints) based scheduling method.

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Applicability of Optimum Algorithm for Automated Design of Electric Railway Pole Foundation (전철주기초 설계 자동화를 위한 최적화 알고리즘의 적용성 검토)

  • Lee, Gi-Yeol;Park, Yong-Dae;Chung, Won-Yong;Song, Kyu-Seok;Lim, Sun-Taek;Kim, Jong-Nam;Lee, Su-Hyung
    • Proceedings of the KSR Conference
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    • 2009.05a
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    • pp.1047-1053
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    • 2009
  • This paper examined an applicability of optimum algorithm to develope an electric railway pole foundation automated design system. Based on the optimization theory that considered subgrade and bearing capacity characteristics, decided an optimum section of electric railway pole foundation. In this research, Optimum algorithm used the feasible direction method in structural analysis and design efficiently. Design variables are considered geometric properties and anchor bolt area of the electric railway pole foundation as optimum construction cost. Constraints are considered settlement., overturning and activity of foundation. And, also composed flexural and shearing strength. According to optimum analysis result., optimization theory is available more economical design comparing with railway pole foundation that is constructed by current standard drawing, and applicability verified in automated design system development.

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Prediction of the Forming Limit Diagram for AZ31B Sheet at Elevated Temperatures Considering the Strain-rate Effect (변형률속도 효과를 고려한 AZ31B 판재의 온간 성형한계도 예측)

  • Choi, S.C.;Kim, H.J.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.05a
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    • pp.172-175
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    • 2009
  • The purpose of this study is to predict the forming limit diagram (FLD) of strain-rate sensitive materials on the basis of the Marciniak and Kuczynski (M-K) theory. The strain-rate effect is taken into consideration in such a way that the stress-strain curves for various strain-rates are inputted into the formulation as point data, not as curve-fitted models such as power function. To solve the nonlinear system of equations derived from the equilibrium and constraints in the groove region and the safe zone, the Newton-Raphson method is used. The theoretical FLDs using four different yield criteria, that are von Mises, Hill (1948), Hill (1979), Logan and Hosford, are compared with the experimental, numerical (FEA) and other theoretical results. A new trial is made where a modified M-K model having n-step grooves is introduced to describe a real localized neck.

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