• 제목/요약/키워드: equivalent linear damping

검색결과 104건 처리시간 0.024초

강성 및 강도저하 모델이 반응수정계수 산정에 미치는 영향 평가 (Effect of Stiffness and Strength Degrading Model on Evaluating the Response Modification Factor)

  • 오영훈;한상환;이리형
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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    • pp.25-32
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    • 1998
  • Most recent seismic design codes include Response Modification Factor(RMF) for determining equivalent lateral forces. The RMF is used to reduce the linear elastic design spectrum to account for the energy dissipation capacity, overstrength and damping of the structure. In this study the RMF is defined as the ratio of the absolute maximum linear elastic base shear to the absolute maximum nonlinear base shear of a structure subject to the same earthquake accelerogram. This study investigates the effect of hysteretic model, as well as target ductility ratio and natural period on duct based RMF using nonlinear dynamic analyses of the SDOF systems. Special emphasis is given to the effects of the hysteretic characteristics such as strength deterioration and stiffness degradation. Results indicate that RMFs are dependent on ductility, period and hysteretic model.

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SIMULINK를 이용한 비선형 동적 해석 (Nonlinear Dynamic Simulation using SIMULINK)

  • 김성걸
    • 한국자동차공학회논문집
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    • 제13권4호
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    • pp.105-112
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    • 2005
  • Analyses of dynamic models which were one and two degrees of freedom, and had the nonlinear springs and dampings with certain polynomial functions were performed from SIMULINK in MATLAB. Those consisted of 12 programs and were built on the basis of the preceding programs fur the linear dynamic simulations. However the programs for the nonlinear simulations were quite different from those f3r the linear ones, and showed the results of the analyses in real time with animating. It was found that the programs would help us to solve any kind of nonlinear dynamic simulation with one and two degrees of freedom. Especially, the simulations for 1 DOF system with cubic nonlinear spring farce showed the results for Duffing's equation, of which phenomena were jump-up and jump-down. It will be applied to the dynamic simulation of the car seat vibration with a passenger, of which model has the equivalent nonlinear springs and is two degrees of freedom.

Linearized analysis of the internal pressures for a two-compartment building with leakage

  • Yu, Xianfeng;Gu, Ming;Xie, Zhuangning
    • Wind and Structures
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    • 제28권2호
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    • pp.89-97
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    • 2019
  • The non-linear equations governing wind-induced internal pressures for a two-compartment building with background leakage are linearized based on some reasonable assumptions. The explicit admittance functions for both building compartments are derived, and the equivalent damping coefficients of the coupling internal pressure system are iteratively obtained. The RMS values of the internal pressure coefficients calculated from the non-linear equations and linearized equations are compared. Results indicate that the linearized equations generally have good calculation precision when the porosity ratio is less than 20%. Parameters are analyzed on the explicit admittance functions. Results show that the peaks of the internal pressure in the compartment without an external opening (Compartment 2) are higher than that in the compartment with an external opening (Compartment 1) at lower Helmholtz frequency. By contrast, the resonance peak of the internal pressure in compartment 2 is lower than that in compartment 1 at higher Helmholtz frequencies.

강판으로 보강된 비좌굴가새의 성능에 대한 해석적 연구 (An Analytical Study on the Performance of Buckling Restrained Brace Reinforced with Steel Plate)

  • 김대홍;김혁수;유정한
    • 한국공간구조학회논문집
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    • 제22권1호
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    • pp.51-57
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    • 2022
  • In this paper, based on the finite element analysis model verified in previous studies, a new model of a buckling restrained brace reinforced with a steel plate was proposed. A design formula was proposed for the new model to dissipate energy without buckling the steel core under load protocol, and the performance of the model satisfying the design formula was evaluated by comparing it with the previous model through the results of hysteresis loop, bi-linear curve, cumulative energy dissipation capacity, and equivalent viscous damping.

곡선맞춤법을 이용한 선체상부구조 모델의 진동해석 (Experimental Vibration Analysis of a Super-Structure Model Using Curve Fitting Method)

  • 오창근;제해광;박석주
    • 한국항해항만학회지
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    • 제26권3호
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    • pp.281-288
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    • 2002
  • 진동해석과 기술에 있어서 실험과 해석분야 모두 다 같이 발전한 것은 사실이지만, 실험해석법은 유한요소법과 같은 이론해석법만큼 발달한 것이라 할 수 없을 것이다. 그 이유 중에 하나로 비선형 방정식을 푸는데 있어 초기치의 선택에 따라 계산시간이 길어지고 해가 종종 발산하기도 하기 때문이다. 일반적으로 실험모드해석에 있어 방정식은 고유진동수와 감쇠비의 비선형 항과 등가강성의 선형 항으로 구성된다. 본 연구에서는 비선형 항을 먼저 구하고, 다음에 선형 항을 구하였다. 개발된 실험모드해석법(곡선맞춤법)을 선체상부구조 모델에 적용하여, 모드 특성치들을 계산하였다. 또한 개발된 프로그램은 그래픽기법을 적용하여 간단한 마우스 조작으로 채용 모드수와 감쇠비를 결정할 수 있도록 하였다.

Upgrading equivalent static method of seismic designs to performance-based procedure

  • Allahvirdizadeh, Reza;Mohammadi, Mohammad Ali
    • Earthquakes and Structures
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    • 제10권4호
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    • pp.849-865
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    • 2016
  • Beside the invaluable advancements in constructing more secure buildings, the post-earthquake inspections have reported considerable damages. In other words, the modern buildings satisfactorily decrease fatalities but the monetary impacts still mostly remain an unsolved concern of the stakeholders, the insurance companies and society together. Therefore, the fundamental target of the researches shifted from current force-based seismic design regulations to the Performance-Based earthquake engineering (PBEE). At the moment, some probabilistic approaches, such as PEER framework have been developed to predict the performance of building at any desired hazard levels. These procedures are so time-consuming, to which many details are needed to be assigned. It causes their usage to be limited. On that account, developing more straightforward methods seems indispensable. The main objective of the present paper is to adapt an equivalent static method in different damage states. Consequently, constant damage spectrums corresponding to different limit states, soil types, ductility and fundamental periods are plotted and tri-linear formulas are proposed for further applications. Moreover, the sensitivity of outcomes to the employed hysteresis model, ductility, viscous damping and site soil type is investigated. Finally, a case study building with moment-resisting R.C. frame is evaluated based on the both of new and current methods to ensure applicability of the proposed method.

Linear and nonlinear site response analyses to determine dynamic soil properties of Kirikkale

  • Sonmezer, Yetis Bulent;Bas, Selcuk;Isik, Nihat Sinan;Akbas, Sami Oguzhan
    • Geomechanics and Engineering
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    • 제16권4호
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    • pp.435-448
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    • 2018
  • In order to make reliable earthquake-resistant design of civil engineering structures, one of the most important considerations in a region with high seismicity is to pay attention to the local soil condition of regions. It is aimed in the current study at specifying dynamic soil characteristics of Kirikkale city center conducting the 1-D equivalent linear and non-linear site response analyses. Due to high vulnerability and seismicity of the city center of Kirikkale surrounded by active many faults, such as the North Anatolian Fault (NAF), the city of Kirikkale is classified as highly earthquake-prone city. The first effort to determine critical site response parameter is to perform the seismic hazard analyses of the region through the earthquake record catalogues. The moment magnitude of the city center is obtained as $M_w=7.0$ according to the recorded probability of exceedance of 10% in the last 50 years. Using the data from site tests, the 1-D equivalent linear (EL) and nonlinear site response analyses (NL) are performed with respect to the shear modulus reduction and damping ratio models proposed in literature. The important engineering parameters of the amplification ratio, predominant site period, peak ground acceleration (PGA) and spectral acceleration values are predicted. Except for the periods between the period of T=0.2-1.0 s, the results from the NL are obtained to be similar to the EL results. Lower spectral acceleration values are estimated in the locations of the city where the higher amplification ratio is attained or vice-versa. Construction of high-rise buildings with modal periods higher than T=1.0 s are obtained to be suitable for the city of Kirikkale. The buildings at the city center are recommended to be assessed with street survey rapid structural evaluation methods so as to mitigate seismic damages. The obtained contour maps in this study are estimated to be effective for visually characterizing the city in terms of the considered parameters.

Minimization of Modeling Error of the Linear Motion System with Voice Coil Actuator

  • Hwang, Jin-Dong;Kwak, Yong-Kil;Jung, Hong-Jung;Kim, Sun-Ho;Ahn, Jung-Hwan
    • International Journal of Control, Automation, and Systems
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    • 제6권1호
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    • pp.54-61
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    • 2008
  • This paper presents a method for reducing modelling error in the linear motion system with voicecoil actuator (VCA). A model of linear motion system composed of a mechanism and control was prepared to verify the proposed method. In modeling of the system, the damping coefficient obtained experimentally is applied to the model in order to consider the effect of the viscous friction for the moving part in VCA. The response velocity of VCA for duty ratio of PWM signal was analyzed in the time domain. Consequently, the relation between velocity and duty ratio was obtained. The result from the experiment showed an error of 9% when compared with that of simulation. In order to reduce the modeling error, impedance variation according to input frequency was analyzed, and equivalent impedance with multi-frequency was applied to the control part. As a result, the modeling error decreased to 5%.

Wind vibration control of stay cables using an evolutionary algorithm

  • Chen, Tim;Huang, Yu-Ching;Xu, Zhao-Wang;Chen, J.C.Y.
    • Wind and Structures
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    • 제32권1호
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    • pp.71-80
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    • 2021
  • In steel cable bridges, the use of magnetorheological (MR) dampers between butt cables is constantly increasing to dampen vibrations caused by rain and wind. The biggest problem in the actual applications of those devices is to launch a kind of appropriate algorithm that can effectively and efficiently suppress the perturbation of the tie through basic calculations and optimal solutions. This article discusses the optimal evolutionary design based on a linear and quadratic regulator (hereafter LQR) to lessen the perturbation of the bridges with cables. The control numerical algorithms are expected to effectively and efficiently decrease the possible risks of the structural response in amplification owing to the feedback force in the direction of the MR attenuator. In addition, these numerical algorithms approximate those optimal linear quadratic regulator control forces through the corresponding damping and stiffness, which significantly lessens the work of calculating the significant and optimal control forces. Therefore, it has been shown that it plays an important and significant role in the practical application design of semiactive MR control power systems. In the present proposed novel evolutionary parallel distributed compensator scheme, the vibrational control problem with a simulated demonstration is used to evaluate the numerical algorithmic performance and effectiveness. The results show that these semiactive MR control numerical algorithms which are present proposed in the present paper has better performance than the optimal and the passive control, which is almost reaching the levels of linear quadratic regulator controls with minimal feedback requirements.

Friction tuned mass damper optimization for structure under harmonic force excitation

  • Nasr, Aymen;Mrad, Charfeddine;Nasri, Rachid
    • Structural Engineering and Mechanics
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    • 제65권6호
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    • pp.761-769
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    • 2018
  • In this work, an optimization method of Friction Tuned Mass Damper (FTMD) parameters is presented. Friction tuned mass dampers (FTMD) are attached to mechanical structures to reduce their vibrations with dissipating the vibratory energy through friction between both bodies. In order to exploit the performances of FTMD, the determination of the optimum parameters is recommended. However, the presence of Coulomb's friction force requires the resolution of a non-linear stick-slip problem. First, this work aims at determining the responses of the vibratory system. The responses of the main mass and of the FTMD are determined analytically in the sticking and sliding phase using the equivalent damping method. Second, this work aims to optimize the FTMD parameters; the friction coefficient and the tuned frequency. The optimization formulation based on the Ricciardelli and Vickery method at the resonance frequencies, this method is reformulated for a system with a viscous damping. The inverse problem of finding the FTMD parameters given the magnitude of the force and the maximum acceptable displacement of the primary system is also considered; the optimization of parameters leads to conclude on the favorable FTMD giving significant vibration decrease, and to advance design recommendations.