• Title/Summary/Keyword: Moment Equation Method

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구성요소치 해석을 이용한 확률계의 축소와 제어 (Stochastic System Reduction and Control via Component Cost Analysis)

  • 채교순;이동희;박성만;여운경;조윤현;허훈
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회A
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    • pp.921-926
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    • 2007
  • A dynamic system under random disturbance is considered in the study. In order to control the system efficiently, proper reduction of system dimension is indispensible in design stage. The reduction method using component cost analysis in conjunction with stochastic analysis is proposed for the control of a system. System response is obtained in terms of dynamic moment equation via Fokker-Plank-Kolmogorov(F-P-K) equation. The dynamic moment response of the system under random disturbance are reduced by using of deterministic version of component cost analysis. The reduced system via proposed "stochastic component cost analysis" is successfully implemented for dynamic response and shows remarkable control performance effectively utilizing "stochastic controller" in physical time domain.

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A new base shear equation for reliability-based design of steel frames

  • Hakki Deniz Gul;Kivanc Taskin
    • Earthquakes and Structures
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    • 제27권1호
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    • pp.31-39
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    • 2024
  • The reliability-based seismic design of steel frames is a complex process that incorporates seismic demand with a structural capacity to attain safe buildings aligned with specified constraints. This paper introduces an efficient base shear force formulation to support the reliability-based design process of steel frames. The introduced base shear force equation combines the seismic demand statistics with the reliability objective to calculate a fictitious base shear force for linear static analysis. By concentrating on the seismic demand and promising to meet a certain level of reliability, the equation converts the reliability-based seismic design problem to a deterministic one. Two code-compliant real-size steel moment frames are developed according to different reliability objectives to demonstrate the competency of the proposed formula. The nonlinear dynamic analysis method is used to assess the seismic reliability of the constructed frames, and the numerical results validate the credibility of the suggested formulation. The base shear force calculation method regarding seismic reliability is the main finding of this study. The ease of use makes this approach a potent tool for design professionals and stakeholders to make rapid risk-informed decisions regarding steel moment frame design.

4계 타원형 미분 방정식을 위한 웨이블릿 급수해석 (The Wavelet Series Analysis for the Fourth-order Elliptic Differential Equation)

  • 조준형;우광성;신영식
    • 한국전산구조공학회논문집
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    • 제24권4호
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    • pp.355-364
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    • 2011
  • 본 논문은 이미지 처리나 신호처리 및 정보압축 등에 사용되는 웨이블릿 급수를 이용하여 4계 타원형 미분방정식을 풀때 그 방법에 대하여 논의하고자 한다. 본 논문에서 사용한 Hat 웨이블릿 함수는 $H^1$-공간에 속한 급수로서 일반적으로 2계 타원형 미분방정식에 적용하기에는 무리가 없으나 4계 타원형 미분방정식에 적용하기에는 불충분한 미분가능회수를 가지고 있다. 따라서 이 문제를 극복하기 위해 모멘트와 처짐을 미지수로 하는 선형방정식을 순차적으로 구성하고 풀어내는 방법을 사용하였다. 모멘트와 처짐을 미지수로 하는 순차적 해석법은 탄성하중법(모멘트면적법)의 응용으로 생각할 수 있다. 또한 그 정식화과정에서 무요소법과 동일한 점과 차이점을 언급하였다. 예측한 바와 같이 Hat 웨이블릿 함수의 항을 많이 고려할수록 수치해석의 해가 향상되는 것을 확인할 수 있었다. 또한 응력특이를 갖는 오일러보 문제의 경우 제안된 해석법은 종래의 유한요소 해석값과도 비교되었다.

전개하는 날개의 공력 모델링 연구 (A STUDY OF AERODYNAMIC MODELING FOR UNFOLDING WING MOTION ANALYSIS)

  • 정석영;윤성준
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 학술대회
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    • pp.245-250
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    • 2008
  • For simulation of a wing unfolding motion for the various aerodynamic conditions, equation governing unfolding motion and moments applying to the unfolding wing were modelled. Aerodynamic roll moment consists of the static roll moment and the damping moment, which were obtained through wind tunnel tests and numerical analyses respectively. Panel method was used to compute the roll damping coefficient with twisted wing, whose deflection angle was equivalent to angle of attack due to the deployment motion. Roll damping coefficient is a function of angle of attack, sideslip angle, and deployment angle but not of angular velocity of deployment. Simulation with aerodynamic damping model gave more similar deployment time compared to wing deployment test results.

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전개하는 날개의 공력 모델링 연구 (A STUDY OF AERODYNAMIC MODELING FOR UNFOLDING WING MOTION ANALYSIS)

  • 정석영;윤성준
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년 추계학술대회논문집
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    • pp.245-250
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    • 2008
  • For simulation of a wing unfolding motion for the various aerodynamic conditions, equation governing unfolding motion and moments applying to the unfolding wing were modelled. Aerodynamic roll moment consists of the static roll moment and the damping moment, which were obtained through wind tunnel tests and numerical analyses respectively. Panel method was used to compute the roll damping coefficient with twisted wing, whose deflection angle was equivalent to angle of attack due to the deployment motion. Roll damping coefficient is a function of angle of attack, sideslip angle, and deployment angle but not of angular velocity of deployment. Simulation with aerodynamic damping model gave more similar deployment time compared to wing deployment test results.

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모멘트법을 적용한 구형도파관 슬롯 배열 안테나 해석 및 설계 (Analysis and Design of Waveguide Slotted Array Antenna using Method of Moment.)

  • 최성열;고영호
    • 대한전기학회논문지:전기물성ㆍ응용부문C
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    • 제51권8호
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    • pp.375-381
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    • 2002
  • A rigorous analysis of a broad wall slot array is presented. The slot is longitudinal and offset from the center line in the rectangular waveguide. Pertinent integral equations are developed, taking into account finite wall thickness. The mothed of moment with entire basis function is used to solve a pair of coupled-integral equations, derived from the electromagnetic boundary conditions using modified Green's function, to find the tangential electric field on the upper and lower surfaces of the slot. Numerical results for resonant length and scattering parameters of the slots are Presented over a range of offset. Computed results are compared with experimental result.

Theoretical rotational stiffness of the flexible base connection based on parametric study via the whale optimization algorithm

  • Mahmoud T. Nawar;Ehab B. Matar;Hassan M. Maaly;Ahmed G. Alaaser;Osman Hamdy
    • Structural Engineering and Mechanics
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    • 제88권1호
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    • pp.43-52
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    • 2023
  • This paper handles the results of an extensive parametric study on the rotational stiffness of the flexible base connection using ABAQUS program. The results of the parametric study show the relation between the applied moment and the relative rotation for 96 different base connections. The configurations of the studied connections considered different numbers, diameters, and spacing of the anchor bolts along with different thicknesses of the base plate to investigate the effect of these parameters on the rotational stiffness behavior. The results of the previous parametric research used through the whale optimization algorithm (WOA) to detect different equation formulation of the moment-rotation (M-Ɵr) equation to detect optimum equation simulates the general nonlinear rotational behavior of the flexible base connection considering all variables used in the parametric study. WOA is a relatively new promising algorithm, which is used in different types of optimization problems. For more verification, the classical genetic algorithm (GA) is used to make a comparison with WOA results. The results show that WOA is capable of getting an optimum equation of the M-Ɵr relation, which can be used to simulate the actual rotational stiffness of the flexible base connections. The rotational stiffness at H/150 can be calculated using WOA (1) method and be used as a design aid for engineering design.

순수 비틀림 모멘트를 받는 직교 이방성체의 광탄성 시험법 개발에 관한 연구( I )-차원 광탄성 실험법 모델의 절단법과 $G_{i} 와 f_{ij}$ 의 측정법 - (A Study on the Development of Photoelastic Experiment for Orthotropic Material Under Pure Torsional Moment (I) : The Slicing Method Of 3-Dimensional Photoelastic Experiment Model And The Measuring Method of $G_{I} And f_{Ij}$)

  • 황재석;방창일
    • 대한기계학회논문집
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    • 제15권2호
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    • pp.424-435
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    • 1991
  • To develop the photoelastic experiment method for the orthotropic material under pure torsional moment is the main objective of this research. In the development of photoelastic experiment for orthotropic material under pure torsional moment, the important problems and their solutions are the same as following. In the model material for photoelastic experiment, it was found that C.F.E.C.(Copper Fiber Epoxy Composite) can be used as the model material of photoelastic experiment for orthotropic material. In the stress freezing cycle, it was assured that stress freezing cycle for epoxy can be used as the stress freezing cycle of the photoelastic experiment for orthotropic material. In the slicing method, it was found that the negative oblique slicing method can be effectively used as slicing method in 3-dimensional photoelastic experiment. In the measuring method of stress fringe values and physical properties in the high temperature, it was found that stress fringe values can be directly measured by experiment and physical properties can be directly or indirectly by equation between stress fringe values and physical properties developed by author. In the stress analysis method of orthotropic material under pure torsional moment by photoelastic experiment, it will be studied in the second paper.

구름요소의 Waviness 를 고려한 볼베어링 해석 이론 (Analytical Theory of Ball Bearing Considering Waviness of Rolling Elements)

  • 정성원;장건희
    • 한국소음진동공학회논문집
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    • 제11권7호
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    • pp.275-286
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    • 2001
  • The research presents an analytical theory to calculate the characteristics of the bal bearing with waviness in its rolling elements considering the centrifugal force and gyroscopic moment of bal. The effects of centrifugal force and gyroscopic moment are introduced to the kinematic constraints and force equilibrium equations. and the waviness of rolling elements is modeled by sinusoidal function to calculate the contact force at each ball. The numerical solutions of governing equation of berating due to waviness are calculated by using the Newton-Raphson method. The accuracy of the research is validated by comparing the contact force. contact angle in case of considering the centrifugal force and gyroscopic moment of bal and the contact force and vibration frequencies in cases of considering waviness with the prior researches respectively. It investigates the stiffness, contact force. displacement and vibration frequencies of the ball bearing considering not only the centrifugal force and gyroscopic moment of ball but also the waviness of the rolling elements.

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균일단면 선박의 유탄성 수평응답에 대한 해석해 (Exact Solution on the Anti-symmetric Responses of Ships having Uniform Sectional Properties with Hydro-elasticity)

  • 정종진;박인규
    • 대한조선학회논문집
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    • 제41권4호
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    • pp.45-52
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    • 2004
  • Exact solution on the anti-symmetric response of ships having uniform sectional properties in waves is derived. Boundary value problem consisted of Timoshenko beam equation and free-free end condition is solved analytically. The responses are assumed as linear and wave loads are calculated by using strip method. Horizontal bending moment, shear force and torsional moment are calculated. The developed analysis model is used for the benchmark test of the numerical codes in this problem. Also the application on the preliminary design of barge-like ships and VLFS (Very Large Floating Structure) is expected