• 제목/요약/키워드: structure equation

검색결과 2,326건 처리시간 0.032초

SEA를 이용한 쉘과 실린더의 최적 용접 조건에 관한 연구 (Study on Optimum Welding Position between Shell and Cylinder based on SEA.)

  • 안병하;이장우;양보석
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.969-972
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    • 2003
  • The overall aim of this paper is to determine coupling loss factor of welding point between shell and cylinder using loss factor and structural loss factor. For this purpose, two kinds of loss factor were adopted. One is loss factor of each sub structure, another is structural loss factor based on the complex welded or assembled structure. Using these two parameters, it is possible to derive the coupling loss factor which represent characteristic condition of SEA theory. Coupling loss factor of conjunction in complex structure was expressed as power balance equation. The derived equation for a coupling loss factor has been simplified on the assumption of one way(nl- directional) power flow between multi-sub structures. Using these conditions, it is possible to find the equation of coupling loss factor expressed as above two loss factors. To check the effectiveness of above equation, this paper used two stage application. The first approach was application between simple cylinder and shell. The next was adopted rotary compressor. Rotary compressor has three main conjunctions between shell and internal vibration part. This equation was applied to find out the optimum welding Point with respect to reduce the noise propagation. It shows the effective tool to evaluate the coupling loss factor in complex structure

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Equivalent damping of a structure with vibration control devices subjected to wind loads

  • Hwang, Jae-Seung;Kim, Jinkoo;Lee, Sang-Hyun;Min, Kyung-Won
    • Wind and Structures
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    • 제6권4호
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    • pp.249-262
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    • 2003
  • The purpose of this study is to propose a procedure for evaluating quantitatively the increase of the equivalent damping ratio of a structure with passive/active vibration control systems subjected to a stationary wind load. A Lyapunov function governing the response of a structure and its differential equation are formulated first. Then the state-space equation of the structure coupled with the secondary damping system is solved. The results are substituted into the differential equation of the Lyapunov function and its derivative. The equivalent damping ratios are obtained from the Lyapunov function of the combined system and its derivative, and are used to assess the control effect of various damping devices quantitatively. The accuracy of the proposed procedure is confirmed by applying it to a structure with nonlinear as well as linear passive/active control systems.

The modal characteristics of non-uniform multi-span continuous beam bridges

  • Shi, Lu-Ning;Yan, Wei-Ming;He, Hao-Xiang
    • Structural Engineering and Mechanics
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    • 제52권5호
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    • pp.997-1017
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    • 2014
  • According to the structure characteristics of the non-uniform beam bridge, a practical model for calculating the vibration equation of the non-uniform beam bridge is given and the application scope of the model includes not only the beam bridge structure but also the non-uniform beam with added masses and elastic supports. Based on the Bernoulli-Euler beam theory, extending the application of the modal perturbation method and establishment of a semi-analytical method for solving the vibration equation of the non-uniform beam with added masses and elastic supports based is able to be made. In the modal subspace of the uniform beam with the elastic supports, the variable coefficient differential equation that describes the dynamic behavior of the non-uniform beam is converted to nonlinear algebraic equations. Extending the application of the modal perturbation method is suitable for solving the vibration equation of the simply supported and continuous non-uniform beam with its arbitrary added masses and elastic supports. The examples, that are analyzed, demonstrate the high precision and fast convergence speed of the method. Further study of the timesaving method for the dynamic characteristics of symmetrical beam and the symmetry of mode shape should be developed. Eventually, the effects of elastic supports and added masses on dynamic characteristics of the three-span non-uniform beam bridge are reported.

The actuation equation of macro-fiber composite coupled plate and its active control over the vibration of plate and shell

  • Tu, Jianwei;Zhang, Jiarui;Zhu, Qianying;Liu, Fan;Luo, Wei
    • Structural Monitoring and Maintenance
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    • 제5권2호
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    • pp.297-311
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    • 2018
  • Plate and shell structure is widely applied in engineering, i.e. building roofs, aircraft wings, ship platforms, and satellite solar arrays. Its vibration problem has become increasingly prominent due to the tendency of lightening, upsizing and flexibility. As a new smart material with great actuating force and toughness, macro-fiber composite (MFC) is composed of piezoelectric fiber and epoxy resin basal body, which can be directly pasted onto the surface of plate and shell and is suitable for vibration control. This paper deduces the actuation equation of MFC coupled plate in different boundary conditions, an equivalent finite element modeling method is proposed which uses MFC actuating force as the applied excitation, and on this basis the active control simulation and experiment of MFC over plate and shell structure vibration are accomplished. The results indicate that MFC is able to implement effective control over plate and shell structure vibration in multi-band range. The comparison between experiment and simulation proves that the actuation equation deduced herein, effective and practicable, can be applied into the simulation calculation of MFC vibration control over plate and shell structure.

수정된 설계 방정식을 이용한 허니컴 구조의 차폐 효과 예측 (Prediction of Shielding Effectiveness in Honeycomb Structure Using the Modified Design Equation)

  • 이경원;정영철;홍익표;육종관
    • 한국전자파학회논문지
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    • 제16권9호
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    • pp.862-871
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    • 2005
  • 본 논문에서는 전자기 차폐 구조로 널리 알려진 육각형 도파관 구조를 갖는 허니컴 구조의 차폐 효과를 정확하게 예측하기 위하여 기존의 차폐 효과 설계식을 수정하여 새로운 차폐 효과 설계식을 제안하였다. 허니컴의 차폐 효과 설계 방정식은 단일 격자의 차폐 효과와 무수히 많은 격자 구조의 차폐 효과의 합으로 표현되는데, 본 논문에서는 허니컴 구조를 이루고 있는 육각형 기본 격자를 해석하고, 기본격자가 다수의 배열로 이루어진 해석을 통해 일반화 된 차폐 효과 설계 방정식을 제안하였다. 제안한 차폐 효과 설계 방정식의 유효함을 입증하기 위하여 상용 소프트웨어의 3D EM 시뮬레이션과 비교하였다. 또한, 측정 결과와 비교하여 본 논문에서 제안한 수정된 차폐 효과 설계 방정식이 기존의 설계 방정식보다 더 정확하다는 것을 보여주었다.

Cantharidin$(C_{10}H_{12}O_{4})$의 결정 구조 (The Crystal Structure of Cantharidin $(C_{10}H_{12}O_{4})$)

  • 김문집;박호종;김대영;이종수
    • 한국결정학회지
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    • 제13권2호
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    • pp.91-95
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    • 2002
  • X-선 회절법을 이용하여 Cantharidin(Hexahydro-3a,7a-dimethyl-4,7-epoxyisobenzofuran-1,3-dione, C/sub 10/H/sub 12/O/sub 4/)의 결정구조를 규명하였다. 이 결정의 결정계는 사방정계이며 공간군은 Pna2/sub 1/ 이다. 단위포 상수는 a=11.0731(9) (equation omitted), b=6.7344(4) (equation omitted), c=12.5000(9) (equation omitted), α=β=γ=90°, V=932.13(12) (equation omitted), T=296K, Z=4, D/sub c/=1.398Mgm/sup -3/이다. 회절반점들의 세기는 Enraf-Nonius CAD-4 Diffractometer로 얻었으며 MoKα선(λ=0.71073(equation omitted))을 사용하였다 분자구조는 직접법으로 풀었으며, F/sub o/>4σ(F/sub o/)인 759개의 독립 회절 데이터에 대하여 최소자승법으로 140개의 변수를 정밀화하여 최종 신뢰도 값 R=4.42%을 얻었다.

REAL HYPERSUREAACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH PARALLEL SHAPE OPERATOR II

  • Suh, Young-Jin
    • 대한수학회지
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    • 제41권3호
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    • pp.535-565
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    • 2004
  • In this paper we consider the notion of ξ-invariant or (equation omitted)-invariant real hypersurfaces in a complex two-plane Grassmannian $G_2$( $C^{m+2}$) and prove that there do not exist such kinds of real hypersurfaces in $G_2$( $C^{m+2}$) with parallel second fundamental tensor on a distribution ζ defined by ζ = ξ U(equation omitted), where(equation omitted) = Span {ξ$_1$, ξ$_2$, ξ$_3$}.X>}.

압전지능구조물의 최적설계를 위한 민감도 해석 (Sensitivity analysis for optimal design of piezoelectric structures)

  • 김재환
    • 소음진동
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    • 제8권2호
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    • pp.267-273
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    • 1998
  • This study aims at performing sensitivity analysis of piezoelectric smart structure for minimizing radiated noise from the structure, The structure consists of a flat plate on which disk shaped piezoelectric actuator is mounted, and finite element modeling is used for the structure. The finite element modeling uses a combination of three dimensional piezoelectric, flat shell and transition elements so thus it can take into account the coupling effects of the piezoelectric device precisely and it can also reduce the degrees of freedom of the finite element model. Electric potential on the piezoelectric actuator is taken as a design variable and total radiated power of the structure is chosen as an objective function. The objective function can be represented as Rayleigh's integral equation and is a function of normal displacements of the structure. For the convenience of computation, all degrees of freedom of the finite element equation is condensed out except the normal displacements of the structure. To perform the design sensitivity analysis, the derivative of the objective function with respect to the normal displacements is found, and the derivative of the norma displacements with respect to the design variable is calculated from the finite element equation by using so called the adjoint variable method. The analysis results are compared with those of the finite difference method, and shows a good agreement. This sensitivity analysis is faster and more accurate than the finite difference method. Once the sensitivity analysis program is used for gradient-based optimizations, one could achieve a better convergence rate than non-derivative methods for optimal design of piezoelectric smart structures.

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한계상태식의 3차 다항식 근사를 통한 구조물 신뢰도 평가 (Structure Reliability Analysis using 3rd Order Polynomials Approximation of a Limit State Equation)

  • 이승규;김성찬;김태욱
    • 한국전산구조공학회논문집
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    • 제26권3호
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    • pp.183-189
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    • 2013
  • 본 논문에서는 불확실성을 확률변수로 가정하고 구조물의 파손기준을 한계상태식(Limit State Equation)으로 정의하였다. 한계상태식을 Fleishman의 3차 다항식으로 근사하고 이론적인 확률 모멘트(Moments)를 계산하였다. Fleishman은 표준정규 분포 확률변수에 대해서만 3차 다항식을 제시하였으나, 본 논문에서는 이를 확장하여 베타, 감마, 균일 분포 등 다양한 확률 변수에 적용하였다. 확률 모멘트를 계산하기 위해서 누률(Cumulants)과 정규화된 한계상태식을 활용하였으며, 피어슨 시스템(Pearson System)을 통해 한계상태식의 확률분포를 근사하였다.

콘크리트의 압축강도 추정을 위한 비파괴시험식의 활용성 검토에 관한 연구 (A Study on Application of Non-Destructive Equation for the Estimation of Concrete Strength)

  • 김무한;권영진
    • 한국구조물진단유지관리공학회 논문집
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    • 제3권1호
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    • pp.129-136
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    • 1999
  • In this paper, the new non-destructive equation will be proposed and evaluated in comparison to the other foreign's non-destructive equation. Through the comparisons cores strength of mock structure with compressive strength obtained from new non-destructive equation ; rebound hammer, ultra-sonic pulse velocity and combined method, it will be analyzed about application of non-destructive equation. The results are following. The new non-destructive equations follow ; (1) $F_c=9.5R{\cdot}N+62.5$ (2) $F_c=243Vp-739$ (3) $F_c=8.1R_o+205.3V_p-802$ where, $F_c$ : Compressive Strength, $R_o$ : Rebound Number. $V_p$ : Ultra-Sonic Pulse Velocity Trough the result of mock structure test, the combined method is superior to rebound method and ultra-sonic pulse velocity method in the estimation of concrete strength. In order to apply the non-destructive equation of concrete strength to the structures, it is necessary that we should be made process study on the non-destructive equation for estimation of concrete strength in the range, time and strength of application under long-term.

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