• Title/Summary/Keyword: structure equation

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Practical formula for determining peak acceleration of footbridge under walking considering human-structure interaction

  • Cao, Liang;Zhou, Hailei;Chen, Y. Frank
    • Structural Engineering and Mechanics
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    • 제83권6호
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    • pp.729-744
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    • 2022
  • In this paper, an analytical formulation is proposed to predict the vertical vibration response due to the pedestrian walking on a footbridge considering the human-structure interaction, where the footbridge and pedestrian are represented by the Euler beam and linear oscillator model, respectively. The derived coupled equation of motion is a nonlinear fourth-order partial differential equation. An uncoupled solution strategy based on the combined weighted residual and perturbation method) is proposed to reduce the tedious computation, which allows the separate integration between the bridge and pedestrian subsystems. The theoretical study demonstrates that the pedestrian subsystem can be treated as a structural system with added mass, damping, and stiffness. The analysis procedure is then applied to a case study under the conditions of single pedestrian and multi pedestrians, and the results are validated and compared numerically. For convenient vibration design of a footbridge, the simplified peak acceleration formula and the idea of decoupling problem are thus proposed.

형상기억합금 작동기를 이용한 스마트 구조물의 진동 및 위치 추적제어 (Vibration and Position Tracking Control of a Smart Structure Using SMA Actuators)

  • 박노준;최승복;정재천
    • 한국정밀공학회지
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    • 제13권8호
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    • pp.155-163
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    • 1996
  • This paper presents vibration and position tracking control of a smart structure using shape memory alloy(SMA) actuators. A governing equation of motion of the proposed structure is obtained via Hamilton's princeple. The dynamic characteristics of the SMA actuator are experimentally identified and incorporated with the governing equation to furnish a control system model. Subsequently, a sliding mode controller which has inherent robustness to external disturbances is formulated on the basis of the sliding mode conplacement, and also for the position tracking control of desired trajectories with low-frequency sine and square waves.

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일방향 파동방정식을 이용한 복잡한 구조의 키리히호프 중합전 심도구조보정 (Kirchhoff Prestack Depth Migration for the Complex Structure Using One-Way Wave Equation)

  • 고승원;양승진
    • 지구물리와물리탐사
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    • 제5권1호
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    • pp.18-22
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    • 2002
  • 단일 도달주시로서 최대에너지 도달주시는 카르히호프 구조보정을 위한 가장 적합한 연산자로 알려져 있다. 단순구조모델의 경우에 초동주시나 최대에너지 도달주시는 모두 정확한 카르히호프 구조보정 연산자로 사용될 수 있다. 그러나 구조가 복잡하고 속도대비가 큰 모델에 대해서 초동주시를 이용한 구조보정은 정확한 심도단면도를 얻을 수 없다. 즉 카르히호프 구조보정에서 요구되는 주시는 최대에너지 도달주시이지만 이 주시는 초동주시에 비해 상당히 많은 계산시간을 요한다. 본 논문에서는 일방향 파동방정식을 이용하여 최대에너지 도달주시에 근사한 주시를 계산하는 방법을 제안한다. 일방향 파동 방정식을 이용해 초동주시를 계산할 때 사용되는 WAS(Wrap Around Suppression, 두루마리현상억제)계수를 수평방향의 격자간격과 깊이에 대한 함수로 정의하고 음원 파형의 지연시간을 고려하여 최대 에너지 도달 시간에 근사한 주시를 구하였다. 이 주시의 타당성을 검증하고자 계산된 주시를 단순구조 및 복잡한 구조의 구조보정에 적용하고 그 심도단면도를 초동주시를 이용해 구한 심도단면도와 비교하였다.

헬리콥터 자세안정 가변구조제어기 설계 (Stabilizing variable structure controller design of helicopter)

  • 소일영;임규만;함운철
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.1504-1508
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    • 1996
  • In this paper, we derive dynamic equation of helicopter and design controller based on variable structure system. It is difficult to control helicopter because it has non-linear coupling between input and output of system and is MIMO system. The design of control law is considered here using variable structure methodology giving the robustness to parameter variations and invariance to some subsets of external disturbance. However we derive dynamic equations of helicopter and design stabilizing variable structure controller. Also, simulation results are given in this paper.

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An improved solid boundary treatment for wave-float interactions using ISPH method

  • Zheng, Xing;Lv, Xipeng;Ma, Qingwei;Duan, Wenyang;Khayyer, Abbas;Shao, Songdong
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제10권3호
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    • pp.329-347
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    • 2018
  • The Smoothed Particle Hydrodynamics (SPH) method has proved to have great potentials in dealing with the wave-structure interactions. Compared with the Weakly Compressible SPH (WCSPH) method, the ISPH approach solves the pressure by using the pressure Poisson equation rather than the equation of state. This could provide a more stable and accurate pressure field that is important in the study of wave-structure interactions. This paper improves the solid boundary treatment of ISPH by using a high accuracy Simplified Finite Difference Interpolation (SFDI) scheme for the 2D wave-structure coupling problems, especially for free-moving structure. The proposed method is referred as the ISPH_BS. The model improvement is demonstrated by the documented benchmark tests and laboratory experiment covering various wave-structure interaction applications.

FFS모드 LCD의 투과율 향상을 위한 전극 구조 개선 (Improvement of Electrode Structure of FFS Mode LCD for Obtaining High Transmittance)

  • 김봉식;오현민;박우상
    • 한국전기전자재료학회논문지
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    • 제24권4호
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    • pp.309-313
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    • 2011
  • In this study, we proposed a novel electrode structure for the fringe field switching (FFS) mode LCD and performed a three-dimensional computer simulation to calculate the optical transmittance for the new structure. In the simulation Erickson-leslie equation and Berreman $4{\times}4$ matrix were used for obtaining the director distribution profiles of liquid crystal molecules and the electro-optical characteristics, respectively. Considering the complexity of the motional equation of the liquid crystal molecules, FDM (finite difference method) was used as a numerical method. From the results, We revealed that the light transmission of the newly designed pixel structure is expended to the edge of the pixel electrode. We also confirmed that the light transmittance increased more than 13% compared to that of the conventional electrode structure.

Inelastic displacement ratios for evaluation of stiffness degrading structures with soil structure interaction built on soft soil sites

  • Aydemir, Muberra Eser
    • Structural Engineering and Mechanics
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    • 제45권6호
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    • pp.741-758
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    • 2013
  • In this study, inelastic displacement ratios are investigated for existing systems with known lateral strength considering soil structure interaction. For this purpose, SDOF systems for period range of 0.1-3.0 s with different hysteretic behaviors are considered for a number of 18 earthquake motions recorded on soft soil. The effect of stiffness degradation on inelastic displacement ratios is investigated. The Modified Clough model is used to represent structures that exhibit significant stiffness degradation when subjected to reverse cyclic loading and the elastoplastic model is used to represent non-degrading structures. Soil structure interaction analyses are conducted by means of equivalent fixed base model effective period, effective damping and effective ductility values differing from fixed-base case. For inelastic time history analyses, Newmark method for step by step time integration was adapted in an in-house computer program. A new equation is proposed for inelastic displacement ratio of system with SSI with elastoplastic or degrading behavior as a function of structural period ($\tilde{T}$), strength reduction factor (R) and period lengthening ratio ($\tilde{T}$/T). The proposed equation for $\tilde{C}_R$ which takes the soil-structure interaction into account should be useful in estimating the inelastic deformation of existing structures with known lateral strength.

Compound damping cable system for vibration control of high-rise structures

  • Yu, Jianda;Feng, Zhouquan;Zhang, Xiangqi;Sun, Hongxin;Peng, Jian
    • Smart Structures and Systems
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    • 제29권4호
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    • pp.641-652
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    • 2022
  • High-rise structures prone to large vibrations under the action of strong winds, resulting in fatigue damage of the structural components and the foundation. A novel compound damping cable system (CDCS) is proposed to suppress the excessive vibrations. CDCS uses tailored double cable system with increased tensile stiffness as the connecting device, and makes use of the relative motion between the high-rise structure and the ground to drive the damper to move back-and-forth, dissipating the vibration mechanical energy of the high-rise structure so as to decaying the excessive vibration. Firstly, a third-order differential equation for the free vibration of high-rise structure with CDCS is established, and its closed form solution is obtained by the root formulas of cubic equation (Shengjin's formulas). Secondly, the analytical solution is validated by a laboratory model experiment. Thirdly, parametric analysis is conducted to investigate how the parameters affect the vibration control performance. Finally, the dynamic responses of the high-rise structure with CDCS under harmonic and stochastic excitations are calculated and its vibration mitigation performance is further evaluated. The results show that the CDCS can provide a large equivalent additional damping ratio for the vibrating structures, thus suppressing the excessive vibration effectively. It is anticipated that the CDCS can be used as a good alternative energy dissipation system for vibration control of high-rise structures.

트리 구조를 이용한 수식 인식 연구 (A Study on Equation Recognition Using Tree Structure)

  • 박병준;김현식;김완태
    • 한국정보전자통신기술학회논문지
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    • 제11권4호
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    • pp.340-345
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    • 2018
  • 수식은 일반 문장에 비해 복잡한 구조와 다양한 문자와 기호가 사용되어 단순한 키보드 입력만으로는 모든 문자 집합을 입력할 수 없어 한글이나 워드 같은 문서편집기 내에서도 자체적으로 구현된 수식 편집기를 사용하고 있다. 수식을 올바르게 표현하기 위해 구문을 해석할 수 있는 의미가 될 수 있는 사전 학습 정보가 필요하다. 문자가 입력되더라도 크기와 위치 서로간의 관계에 따라 다른 수식으로 표현될 수 있기 때문이다. 즉 표현될 위치와 크기 등 문자와 기호들 간의 상호관계를 고려하여 수식의 형태를 트리 모델로 표현한다. 문자인식 응용의 한 분야로 문자나 기호(부호)를 인식하는 기술을 이미 널리 알려졌지만, 수식을 입력과 해석하는 방법은 일반적인 텍스트에 비해 복잡한 분석 과정이 필요하다. 본 논문에서는 수식의 문자를 인식하고 표현되는 위치와 크기의 결정을 빠르게 해석하는 수식 인식기를 구현하였다.

자유파수를 이용한 새로운 실린더 운동방정식과 Junger and Feit의 실린더 운동방정식의 비교연구 (A Study of Comparison with Free Wave Number Between a New Cylinderical Wave Equation and the Wave Equation by Junger and Feit)

  • 조형국
    • 한국음향학회지
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    • 제15권6호
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    • pp.47-51
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    • 1996
  • 실린더 운동방정식은 실린더 내에서 발생되는 소음 해석에 매우 중요하다. 그러므로, 지금까지 많은 학자들에 의해 실린더 운동방정식을 유도되었다[1]. 참고문헌[6]에서는, 새로 제안돈 실린더 운동방정식, Junger and Feit의 실린더 운동방정식 그리고 가정해에 의한 선형방정식으로, 실린더가 자유 운동을 할 때, 자유파수를 구하였다. 본 논문에서는 자유파수들의 분산곡선들을 이용하여, 두 실린더운동방정식을 비교하였고, 링주파수와 링확장주파수의 계산으로, 자유파수들의 분산곡선의 물리적인 의미를 부가하였다. 이 결과, 새로 유도된 실린더 운동방정식의 타당함을 보였다. 새로 제안된 실린더 운동 방정식을 이용하면, 산업현장에서, 실린더 내의 고체파에 대한 보다 정확한 분석을 할 수 있을 것으로 사료된다.

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