• 제목/요약/키워드: Problem of Moments

검색결과 176건 처리시간 0.025초

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

  • Alankaya, Veysel;Oktem, Ahmet Sinan
    • Steel and Composite Structures
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    • 제20권5호
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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.

Benchmark Modal Stress-Resultant Distributions for Vibrating Rectangular Plates with Two Opposite Edges Free

  • Y. Xiang;Wang, C.M.;T. Utsunomiya;C. Machimdamrong
    • Computational Structural Engineering : An International Journal
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    • 제1권1호
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    • pp.49-57
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    • 2001
  • This paper presents exact solutions for the modal stress-resultant distributions for vibrating rectangular Mindlin plates involving two opposite sides simply supported while the other two sides free. These exact stress-resultants of vibrating plates with free edges, hitherto unavailable, are very important because they serve as benchmark solutions for checking numerical solutions and methods. Using the exact solutions of a square plate, this paper highlights the problem of determining accurate stress-resultants, especially the transverse shear forces and twisting moments in thin plates, when employing the widely used numerical methods such as the Ritz method and the finite element method. Thus, this study shows that there is a need for researchers to develop refinements to the Ritz method and the finite element method for determining very accurate stress-resultants in vibrating plates with free edges.

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Constrained Bayes and Empirical Bayes Estimator Applications in Insurance Pricing

  • Kim, Myung Joon;Kim, Yeong-Hwa
    • Communications for Statistical Applications and Methods
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    • 제20권4호
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    • pp.321-327
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    • 2013
  • Bayesian and empirical Bayesian methods have become quite popular in the theory and practice of statistics. However, the objective is to often produce an ensemble of parameter estimates as well as to produce the histogram of the estimates. For example, in insurance pricing, the accurate point estimates of risk for each group is necessary and also proper dispersion estimation should be considered. Well-known Bayes estimates (which is the posterior means under quadratic loss) are underdispersed as an estimate of the histogram of parameters. The adjustment of Bayes estimates to correct this problem is known as constrained Bayes estimators, which are matching the first two empirical moments. In this paper, we propose a way to apply the constrained Bayes estimators in insurance pricing, which is required to estimate accurately both location and dispersion. Also, the benefit of the constrained Bayes estimates will be discussed by analyzing real insurance accident data.

저항면의 양 끝에서 무한대로 변하는 저항률을 갖는 조기격자에 의한 E-분극 반사계수 (E-Polarized Reflection Coefficient by a Tapered Resistive Strip Grating with Infinite Resistivity at Strip-Edges)

  • 윤의중;양승인
    • 전자공학회논문지A
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    • 제31A권2호
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    • pp.60-66
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    • 1994
  • The scattering problem by E-polarized plane wave with oblique incidence on a tapered resistive strip grating with infinite resistivity at strip-edges is analyzed by the method of moments in the spectral domain. Then the induced surface current density is expanded in a series of Ultraspherical polynomials of the zeroth order. The expansion coefficients are calculated numerically in the spectral domain, the numerical results of the geometricoptical reflection coefficient for the tapered resistivity in this paper are compared with those for the existing uniform resistivity. And the position of sharp variation points in the magnitude of the geometric-optical reflection coefficient can be moved by varying the incident angle and the strip spacing. It is found out that these sharp variation points are due to the transition of higher modes between the propagation mode and the evanescent mode.

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A Computational Efficient General Wheel-Rail Contact Detection Method

  • Pombo Joao;Ambrosio Jorge
    • Journal of Mechanical Science and Technology
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    • 제19권spc1호
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    • pp.411-421
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    • 2005
  • The development and implementation of an appropriate methodology for the accurate geometric description of track models is proposed in the framework of multibody dynamics and it includes the representation of the track spatial geometry and its irregularities. The wheel and rail surfaces are parameterized to represent any wheel and rail profiles obtained from direct measurements or design requirements. A fully generic methodology to determine, online during the dynamic simulation, the coordinates of the contact points, even when the most general three dimensional motion of the wheelset with respect to the rails is proposed. This methodology is applied to study specific issues in railway dynamics such as the flange contact problem and lead and lag contact configurations. A formulation for the description of the normal contact forces, which result from the wheel-rail interaction, is also presented. The tangential creep forces and moments that develop in the wheel-rail contact area are evaluated using : Kalker linear theory ; Heuristic force method ; Polach formulation. The methodology is implemented in a general multibody code. The discussion is supported through the application of the methodology to the railway vehicle ML95, used by the Lisbon metro company.

무장분리 안전성을 위한 전산해석 (CFD ANALYSIS ON AIRCRAFT STORE SEPARATION VALIDATION)

  • 정형석;윤용현;이상현
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2007년도 춘계 학술대회논문집
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    • pp.14-16
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    • 2007
  • A critical problem in the integration of stores into new and existing aircraft is the safe separation of the stores from the aircraft at a variety of flight conditions representative of the aircraft flight regime. Typically, the certification of a particular store/aircraft/flight condition combination is accomplished by a flight test. Flight tests are very expensive and do expose the pilot and aircraft to a certain amount of risk. Wind tunnel testing, although less expensive than flight testing, is still expensive. Computational Fluid Dynamics(CFD) has held out the promise of alleviating expensive and risk by simulating weapons separation computationally. The forces and moments on a store at carriage and at various points in the flow field of te aircraft can be computed using CFD applied to the full aircraft and store geometry. This study needs full dynamic characteristics study and flow analysis for securing store separation safety. Present study performs dynamic simulation of store separation with flow analysis using Chimera grid scheme which is usually used for moving simulations.

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저항판 스트립 회절격자에 의한 E-분극산란 (E-Polarized Scattering by a Resistive Strip Grating)

  • 윤의중;양승인
    • 전자공학회논문지A
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    • 제30A권4호
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    • pp.20-27
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    • 1993
  • The E-polarized scattering problem by a resistive strip grating is analyzed by the method of moments in the spectral domain. For an E-polarized scattering, the induced current density is expected to blow up at both edges. Then the induced surface current density on the strip is expanded in a series of the multiplication of Ultraspherical polynomials with zeroth order and functions with appropriate edge condition. The expansion coefficients are calculated numerically in the spectral domain. When the resistivity of the strip becomes 0, the numerical results agree with those of a perfectly conducting strip srating. And the convergence of the moment-method solutions is very much improved using the basis functions proposed in this paper, compared with that of the existing exponential functions.

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A matrix displacement formulation for minimum weight design of frames

  • Orakdogen, Engin
    • Structural Engineering and Mechanics
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    • 제14권4호
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    • pp.473-489
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    • 2002
  • A static linear programming formulation for minimum weight design of frames that is based on a matrix displacement method is presented in this paper. According to elementary theory of plasticity, minimum weight design of frames can be carried out by using only the equilibrium equations, because the system is statically determinate when at an incipient collapse state. In the present formulation, a statically determinate released frame is defined by introducing hinges into the real frame and the bending moments in yield constraints are expressed in terms of unit hinge rotations and the external loads respectively, by utilizing the matrix displacement method. Conventional Simplex algorithm with some modifications is utilized for the solution of linear programming problem. As the formulation is based on matrix displacement method, it may be easily adopted to the weight optimization of frames with displacement and deformation limitations. Four illustrative examples are also given for comparing the results to those obtained in previous studies.

Filtered Velocity Feedback 제어기를 이용한 양단지지보의 음향파워 저감 (Reduction of Sound Radiated Power of Clamped Beams using Filtered Velocity Feedback Controllers)

  • 신창주;홍진숙;정의봉
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2011년도 추계학술대회 논문집
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    • pp.377-383
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    • 2011
  • This paper reports the filtered velocity feedback (FVF) controller to reduce the acoustic power from clamped beams. The instability problem due to the non-collocated sensor/actuator configuration when using PZT actuator should be resolved. The roll-off property of the FVF controller at high frequency helps to alleviate the instability. The dynamics of clamped beams under forces and moments pair and the FVF controller are first formulated. The formulation of the sound radiated power is followed. The open loop transfer function (OLTF) synthesized with 100 modes is used to determine the stability of the control system. The control performance is finally estimated. The levels of the vibration and the sound radiated power are reduced in the wide band below the tuning mode of the FVF controller.

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Empirical Study of Dynamic Corporate Governance: New Evidence from Chinese-listed SMEs

  • Shao, Lin;Yu, Xiaohong
    • 산경연구논집
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    • 제6권4호
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    • pp.27-37
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    • 2015
  • Purpose - This study first explores the possible dynamic relationship between ownership structure and firm performance using a panel of 4,900 Chinese-listed small- and medium-sized enterprises (SMEs) from 1999 to 2012. Research design, data, and methodology - We address this issue through a dynamic panel model using a method of moments (GMM) technique and dynamic simultaneous equations to alleviate the potential endogenous problem: unobserved heterogeneity, simultaneity, and dynamic endogeneity. Results - Under the framework of dynamic endogeneity, firm performance has a significantly positive influence on ownership, but not vice versa. Ownership and performance can be explained by their owned lagged values, respectively. Moreover, intertemporal endogeneity exists among ownership, investment, and performance through the application of system dynamic equations, which implies that the relationship among ownership structure, investment, and firm performance is dynamic by nature. Conclusions - This study also significantly contributes to a better understanding of dynamic corporate governance by providing further empirical evidence from the largest capital market in the Asian region.