• 제목/요약/키워드: Structural damping

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A dissipative family of eigen-based integration methods for nonlinear dynamic analysis

  • Chang, Shuenn-Yih
    • Structural Engineering and Mechanics
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    • 제75권5호
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    • pp.541-557
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    • 2020
  • A novel family of controllable, dissipative structure-dependent integration methods is derived from an eigen-based theory, where the concept of the eigenmode can give a solid theoretical basis for the feasibility of this type of integration methods. In fact, the concepts of eigen-decomposition and modal superposition are involved in solving a multiple degree of freedom system. The total solution of a coupled equation of motion consists of each modal solution of the uncoupled equation of motion. Hence, an eigen-dependent integration method is proposed to solve each modal equation of motion and an approximate solution can be yielded via modal superposition with only the first few modes of interest for inertial problems. All the eigen-dependent integration methods combine to form a structure-dependent integration method. Some key assumptions and new techniques are combined to successfully develop this family of integration methods. In addition, this family of integration methods can be either explicitly or implicitly implemented. Except for stability property, both explicit and implicit implementations have almost the same numerical properties. An explicit implementation is more computationally efficient than for an implicit implementation since it can combine unconditional stability and explicit formulation simultaneously. As a result, an explicit implementation is preferred over an implicit implementation. This family of integration methods can have the same numerical properties as those of the WBZ-α method for linear elastic systems. Besides, its stability and accuracy performance for solving nonlinear systems is also almost the same as those of the WBZ-α method. It is evident from numerical experiments that an explicit implementation of this family of integration methods can save many computational efforts when compared to conventional implicit methods, such as the WBZ-α method.

A new study in designing MTMDs in SDOF and MDOF systems based on the spectral analysis method

  • Baigoly, Morteza;Shargh, Farzan H.;Rofooei, Fayaz R.
    • Earthquakes and Structures
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    • 제19권4호
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    • pp.243-259
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    • 2020
  • This study aims to optimize, design, and predict the MTMDs performance in SDOF systems using spectral analysis, and then apply their results to MDOF structures. Given the importance of spectral analysis in the design of new engineering structures, achieving a method for designing TMDs based on this theory can be of great importance for structural designers. In this study, several convenient combinations of MTMDs in an SDOF system are first considered to minimize the maximum displacement. For calculating the frequency ratios of dampers, an innovative technique is adopted in which the values of different modal responses obtained from the spectral analysis are approached together. This procedure is done using a harmony search (HS) algorithm. Also, using the random vibration theory, the damping ratio of the dampers is obtained. Then, an equation is presented for predicting the performance of MTMDs. For evaluating this equation, three structures with different stories are designed. Some of the presented combinations of dampers are added to them. The time history analyses are employed to analyze the structures under 30 different accelerograms. The findings indicated that the proposed equation could efficiently predict the performance of the MTMDs. Furthermore, four different patterns of damper distribution along the height of the structures are defined. The effect of them on the maximum deformation of the structures in time history analyses is discussed, and an equation is presented to estimate this effect. The results indicated that the average and maximum error percentages of the proposed equations are about three and seven percent, respectively, compared to the time history analyses results, which are negligible values.

동적 유입류 모델을 이용한 회전익기 전진비행 공탄성 해석 (Aeroelastic Analysis of Rotorcraft in Forward Flight Using Dynamic Inflow Model)

  • 이준배;유승재;정민수;이인;김덕관;오세종;이관중
    • 한국항공우주학회지
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    • 제39권4호
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    • pp.297-305
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    • 2011
  • 본 논문에서는 비정상 공기력을 모델링하기위해 Peters-He의 동적유입류모델을 고려한 2차원 준정상 공기력 이론을 적용하여 회전익기 전진비행에 대한 공탄성 해석을 수행하였다. 또한, 공력탄성학적 안정성 해석을 수행하기 위하여, 전진비행 시 주기적인 특성을 갖는 비선형 정적 트림 해를 얻기 위해 동체 평형을 고려한 연계 트림 해석을 통한 완전 유한요소 방정식을 이용하였다. 동적유입류모델의 공력과 구조 특성을 검증하기 위해 유도 유입류와 깃끝에서의 구조변형을 타 수치해석결과와 비교하였다. 또한, 공탄성 안정성을 검증하기 위해 두 모델의 래그 감쇠값을 비교하였다.

건축 구조물의 진동 제어용 하이브리드형 대용량 리니어 모터 댐퍼의 개발 (Development of a Large Capacity Hybrid-Type Linear Motor Damper for the vibration Control of Building Structures)

  • 정상섭;장석명;이성호;윤인기
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제51권11호
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    • pp.601-611
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    • 2002
  • As resent trends in structural construction have been to build taller and larger structures than any time in the past, they have had high flexibility and low damping that can cause large vibration response under severe environmental loading such as earthquakes, winds, and mechanical excitations. The damper with mass and sqring is one aproach to safeguarding the structure against excessive vibrations. In this paper, a large capacity hybrid-type linear motor damper(LMD) was designed and fabricated for the application to the vibration control of a large building structure model. It has been designed to be able to move the damper mass, 1,500 kg up to ${\pm}250mm$ strokes at the first mode natural frequency of the building structure model, ${\pm}0.51Hz$. Linear motor is consisted of the fixed coil and the movable NdFeB permanent magnets field part. The PM field part composed magnet modules and iron yoke, is the damper mass itself, 1500kg. LMD therefore has a simplified structure and requires a few elements in the driving system, being compared with a rotary motor damper and a hydraulic damper. However, the manufacture of large PM linear actuator is difficult because of the limit of PM size and the attraction and repulsion at the assembly of PM. Therefore, large damper system is manufactured and tested for dynamic characteristics and frequency response.

Experimental study on the compressive stress dependency of full scale low hardness lead rubber bearing

  • Lee, Hong-Pyo;Cho, Myung-Sug;Kim, Sunyong;Park, Jin-Young;Jang, Kwang-Seok
    • Structural Engineering and Mechanics
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    • 제50권1호
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    • pp.89-103
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    • 2014
  • According to experimental studies made so far, design formula of shear characteristics suggested by ISO 22762 and JEAG 4614, representative design code for Lead Rubber Bearing(LRB) shows dependence caused by changes in compressive stress. Especially, in the case of atypical special structure, such as a nuclear power structure, placement of seismic isolation bearing is more limited compared to that of existing structures and design compressive stress is various in sizes. As a result, there is a difference between design factor and real behavior with regards to shear characteristics of base isolation device, depending on compressive stress. In this study, a full-scale low hardness device of LRB, representative base isolation device was manufactured, analyzed, and then evaluated through an experiment on shear characteristics related to various compressive stresses. With design compressive stress of the full-scale LRB (13MPa) being a basis, changes in shear characteristics were analyzed for compressive stress of 5 MPa, 10 MPa, 13 MPa, 15 MPa, and 20 MPa based on characteristics test specified by ISO 22762:2010 and based on the test result, a regression analysis was made to offer an empirical formula. With application of proposed design formula which reflected the existing design formula and empirical formula, trend of horizontal characteristics was analyzed.

Critical earthquake input energy to connected building structures using impulse input

  • Fukumoto, Yoshiyuki;Takewaki, Izuru
    • Earthquakes and Structures
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    • 제9권6호
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    • pp.1133-1152
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    • 2015
  • A frequency-domain method is developed for evaluating the earthquake input energy to two building structures connected by viscous dampers. It is shown that the earthquake input energies to respective building structures and viscous connecting dampers can be defined as works done by the boundary forces between the subsystems on their corresponding displacements. It is demonstrated that the proposed energy transfer function is very useful for clear understanding of dependence of energy consumption ratios in respective buildings and connecting viscous dampers on their properties. It can be shown that the area of the energy transfer function for the total system is constant regardless of natural period and damping ratio because the constant Fourier amplitude of the input acceleration, relating directly the area of the energy transfer function to the input energy, indicates the Dirac delta function and only an initial velocity (kinetic energy) is given in this case. Owing to the constant area property of the energy transfer functions, the total input energy to the overall system including both buildings and connecting viscous dampers is approximately constant regardless of the quantity of connecting viscous dampers. This property leads to an advantageous feature that, if the energy consumption in the connecting viscous dampers increases, the input energies to the buildings can be reduced drastically. For the worst case analysis, critical excitation problems with respect to the impulse interval for double impulse (simplification of pulse-type impulsive ground motion) and multiple impulses (simplification of long-duration ground motion) are considered and their solutions are provided.

모드중첩법을 이용한 정수중의 매트형 거대부유구조물의 동하중에 대한 시간영역 유탄성 해석 (A Time Domain Analysis for Hydroelastic Behavior of a Mat-type Large Floating Structure in Calm Water under Dynamic Loadings by Mode Superposition Method)

  • 이동환;조경남;최윤락;홍사영;최항순
    • 대한조선학회논문집
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    • 제38권4호
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    • pp.39-47
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    • 2001
  • 본 논문에서는 매트형 거대 부유식 구조물의 동적 응답을 모드중첩법을 이용하여 시간영역에서 해석하였다. 동유체력의 시간기억함수는 고차경계요소법으로 계산한 동유체감쇠력을 푸리에변환하여 구하였으며, 구조물의 동적 응답은 해석적으로 유도한 고유 모드를 시간적분하여 산정하였다. 해석법을 검증하기 위하여 집중하중이 순간적으로 제거되는 경우, 집중하중이 충격적으로 가해지는 경우, 그리고 집중하중이 등속으로 일정거리를 움직인 경우 등 3가지에 대하여 계산을 수행하였다. 이렇게 얻은 수치결과는 3가지 경우 모두 모형에 대한 실험치와 잘 일치하였다.

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전력계통의 안정도 향상을 위한 적응 뉴로-퍼지 전 보상기 설계 (Design of Adaptive Neuro- Fuzzy Precompensator for Enhancement of Power System Stability)

  • 정형환;정문규;이정필;이준탁
    • 조명전기설비학회논문지
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    • 제15권4호
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    • pp.14-22
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    • 2001
  • 본 논문에서는 전력계통의 저주파 진동 억제와 안정도 향상을 위해 적응 뉴로-퍼지 전 보상기(Adaptive Neuro-Fuzzy Precompensator, ANFP)를 설계하였다. 여기서 ANFP는 종래의 전력계통 안정화 장치(Power System Stabilizer, PSS)를 보상하도록 설계되며, 이 설계기법은 기존의 PSS 최적 파라미터를 구하는 방식과는 달리 현재 사용중인 PSS 파라미터를 고정시켜놓고, ANFP만을 추가하는 구조적인 장점을 나타낸다. 먼저, 학습 능력을 가지는 퍼지 전 보상기가 구성되며, 이는 발전 유니트의 입출력 데이터로부터 학습된다. ANFP는 학습의 특성을 가지기 때문에 보상기의 퍼지규칙과 소속함수는 학습 알고리즘에 의해 자동으로 동조될 수 있다 학습은 ANFP와 목표 제어기(desired controller)의 출력을 비교하여 평가되는 오차를 최소화하도록 수행된다. 사례 연구 들에서 다양한 동작 조건들 상에서 전력계통의 우수한 제동을 제공할 수 있었으며, 시스템의 동특성을 향상시킬 수 있었다

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Derivation of response spectrum compatible non-stationary stochastic processes relying on Monte Carlo-based peak factor estimation

  • Giaralis, Agathoklis;Spanos, Pol D.
    • Earthquakes and Structures
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    • 제3권5호
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    • pp.719-747
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    • 2012
  • In this paper a novel approach is proposed to address the problem of deriving non-stationary stochastic processes which are compatible in the mean sense with a given (target) response (uniform hazard) spectrum (UHS) as commonly desired in the aseismic structural design regulated by contemporary codes of practice. The appealing feature of the approach is that it is non-iterative and "one-step". This is accomplished by solving a standard over-determined minimization problem in conjunction with appropriate median peak factors. These factors are determined by a plethora of reported new Monte Carlo studies which on their own possess considerable stochastic dynamics merit. In the proposed approach, generation and treatment of samples of the processes individually on a deterministic basis is not required as is the case with the various "two-step" approaches found in the literature addressing the herein considered task. The applicability and usefulness of the approach is demonstrated by furnishing extensive numerical data associated with the elastic design UHS of the current European (EC8) and the Chinese (GB 50011) aseismic code provisions. Purposely, simple and thus attractive from a practical viewpoint, uniformly modulated processes assuming either the Kanai-Tajimi (K-T) or the Clough-Penzien (C-P) spectral form are employed. The Monte Carlo studies yield damping and duration dependent median peak factor spectra, given in a polynomial form, associated with the first passage problem for UHS compatible K-T and C-P uniformly modulated stochastic processes. Hopefully, the herein derived stochastic processes and median peak factor spectra can be used to facilitate the aseismic design of structures regulated by contemporary code provisions in a Monte Carlo simulation-based or stochastic dynamics-based context of analysis.

Estimation of active multiple tuned mass dampers for asymmetric structures

  • Li, Chunxiang;Xiong, Xueyu
    • Structural Engineering and Mechanics
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    • 제29권5호
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    • pp.505-530
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    • 2008
  • This paper proposes the application of active multiple tuned mass dampers (AMTMD) for translational and torsional response control of a simplified two-degree-of-freedom (2DOF) structure, able to represent the dynamic characteristics of general asymmetric structures, under the ground acceleration. This 2DOF structure is a generalized 2DOF system of an asymmetric structure with predominant translational and torsional responses under earthquake excitations using the mode reduced-order method. Depending on the ratio of the torsional to the translational eigenfrequency, i.e. the torsional to translational frequency ratio (TTFR), of asymmetric structures, the following three cases can be distinguished: (1) torsionally flexible structures (TTFR < 1.0), (2) torsionally intermediate stiff structures (TTFR = 1.0), and (3) torsionally stiff structures (TTFR > 1.0). The even distribution of the AMTMD within the whole width and half width of the asymmetric structure, thus leading to three cases of installing the AMTMD (referred to as the AMTMD of case 1, AMTMD of case 2, AMTMD of case 3, respectively), is taken into account. In the present study, the criterion for searching the optimum parameters of the AMTMD is defined as the minimization of the minimum values of the maximum translational and torsional displacement dynamic magnification factors (DMF) of an asymmetric structure with the AMTMD. The criterion used for assessing the effectiveness of the AMTMD is selected as the ratio of the minimization of the minimum values of the maximum translational and torsional displacement DMF of the asymmetric structure with the AMTMD to the maximum translational and torsional displacement DMF of the asymmetric structure without the AMTMD. By resorting to these two criteria, a careful examination of the effects of the normalized eccentricity ratio (NER) on the effectiveness and robustness of the AMTMD are carried out in the mitigation of both the translational and torsional responses of the asymmetric structure. Likewise, the effectiveness of a single ATMD with the optimum positions is presented and compared with that of the AMTMD.