• 제목/요약/키워드: Damping Energy

검색결과 816건 처리시간 0.022초

BLOW-UP OF SOLUTIONS FOR WAVE EQUATIONS WITH STRONG DAMPING AND VARIABLE-EXPONENT NONLINEARITY

  • Park, Sun-Hye
    • 대한수학회지
    • /
    • 제58권3호
    • /
    • pp.633-642
    • /
    • 2021
  • In this paper we consider the following strongly damped wave equation with variable-exponent nonlinearity utt(x, t) - ∆u(x, t) - ∆ut(x, t) = |u(x, t)|p(x)-2u(x, t), where the exponent p(·) of nonlinearity is a given measurable function. We establish finite time blow-up results for the solutions with non-positive initial energy and for certain solutions with positive initial energy. We extend the previous results for strongly damped wave equations with constant exponent nonlinearity to the equations with variable-exponent nonlinearity.

BLOW-UP PHENOMENA OF ARBITRARY POSITIVE INITIAL ENERGY SOLUTIONS FOR A VISCOELASTIC WAVE EQUATION WITH NONLINEAR DAMPING AND SOURCE TERMS

  • Yi, Su-Cheol
    • 충청수학회지
    • /
    • 제35권2호
    • /
    • pp.137-147
    • /
    • 2022
  • In this paper, we considered the Dirichlet initial boundary value problem of a nonlinear viscoelastic wave equation with nonlinear damping and source terms, and investigated finite time blow-up phenomena of the solutions to the equation with arbitrary positive initial data, under suitable conditions.

Identification and suppression of vibrational energy in stiffened plates with cutouts based on visualization techniques

  • Li, Kai;Li, Sheng;Zhao, De-You
    • Structural Engineering and Mechanics
    • /
    • 제43권3호
    • /
    • pp.395-410
    • /
    • 2012
  • The visualizing energy flow and control in vibrating stiffened plates with a cutout are studied using finite element method. The vibration intensity, vibration energy and strain energy distribution of stiffened plates with cutout at different excitation frequencies are calculated respectively and visualized for the various cases. The cases of different size and boundaries conditions of cutouts are also investigated. It is found that the cutout or opening completely changes the paths and distributions of the energy flow in stiffened plate. The magnitude of energy flow is significantly larger at the edges near the cutout boundary. The position of maximum strain energy distribution is not corresponding to the position of maximum vibrational energy. Furthermore, the energy-based control using constrained damping layer (CDL) for vibration suppression is also analyzed. According to the energy distribution maps, the CDL patches are applied to the locations that have higher energy distribution at the targeted mode of vibration. The energy-based CDL treatments have produced significant attenuation of the vibration energy and strain energy. The present energy visualization technique and energy-based CDL treatments can be extended to the vibration control of vehicles structures.

Vibration control in wind turbines for performance enhancement: A comparative study

  • Rezaee, Milad;Aly, Aly Mousaad
    • Wind and Structures
    • /
    • 제22권1호
    • /
    • pp.107-131
    • /
    • 2016
  • The need for a more affordable, reliable, clean and secure energy has led to explorations in non-traditional sources, particularly renewable energies. Wind is one of the cleanest energy sources that plays a significant role in augmenting sustainability. Wind turbines, as energy convertors, are usually tall and slender structures, and depending on their location (inland or offshore), they can be subject to high wind and/or strong wave loadings. These loads can cause severe vibrations with detrimental effects on energy production, structural lifecycle and initial cost. A dissipativity analysis study was carried out to know whether wind turbine towers require damping enhancement or rigidity modifications for vibration suppression. The results suggest that wind turbines are lightly damped structures and damping enhancement is a potential solution for vibration lessening. Accordingly, the paper investigates different damping enhancement techniques for vibration mitigation. The efficacy of tuned mass damper (TMD), tuned liquid column damper (TLCD), tuned sloshing damper (TSD), and viscous damper (VD) to reduce vibrations is investigated. A comparison among these devices, in terms of robustness and effectiveness, is conducted. The VD can reduce both displacement and acceleration responses of the tower, better than other types of dampers, for the same control effort, followed by TMD, TSD, and finally TLCD. Nevertheless, the use of VDs raises concerns about where they should be located in the structure, and their application may require additional design considerations.

BBDB형 진동수주 파력발전장치의 운동 및 파랑표류력 연구 (A Study on Motion and Wave Drift Force of a BBDB Type OWC Wave Energy Device)

  • 김진하;류재문;홍도천;홍석원
    • 한국해양공학회지
    • /
    • 제20권2호
    • /
    • pp.22-28
    • /
    • 2006
  • The motion and wave drift forces of floating BBDB (backward-bent duct buoy) wave energy absorbers in regular waves are calculated, taking account of the oscillating surface-pressure due to the pressure drop in the air chamber above the oscillating water column, within the scope of the linear wave theory. A series of model tests has been conducted in order to order to verify the motion and time mean wave drift force reponses in regular waves at the ocean engineering basin, MOERI/KORDI. The pneumatic damping through an orifice-type duct for the BBDB wave energy device are deducted from experimental research. Numerical simulation for motion and drift force responses of the BBDB wave energy device, considering pneumatic damping coefficients, has been carried out, and the results are compared with those of model tests.

Effect of vertical reinforcement connection level on seismic behavior of precast RC shear walls: Experimental study

  • Yun-Lin Liu;Sushil Kumar;Dong-Hua Wang;Dong Guo
    • Earthquakes and Structures
    • /
    • 제26권6호
    • /
    • pp.449-461
    • /
    • 2024
  • The vertical reinforcement connection between the precast reinforced concrete shear wall and the cast-in-place reinforced concrete member is vital to the performance of shear walls under seismic loading. This paper investigated the structural behavior of three precast reinforced concrete shear walls, with different levels of connection (i.e., full connection, partial connection, and no connection), subjected to quasi-static lateral loading. The specimens were subjected to a constant vertical load, resulting in an axial load ratio of 0.4. The crack pattern, failure modes, load-displacement relationships, ductility, and energy dissipation characteristics are presented and discussed. The resultant seismic performances of the three tested specimens were compared in terms of skeleton curve, load-bearing capacity, stiffness, ductility, energy dissipation capacity, and viscous damping. The seismic performance of the partially connected shear wall was found to be comparable to that of the fully connected shear wall, exhibiting 1.7% and 3.5% higher yield and peak load capacities, 9.2% higher deformability, and similar variation in stiffness, energy dissipation capacity and viscous damping at increasing load levels. In comparison, the seismic performance of the non-connected shear wall was inferior, exhibiting 12.8% and 16.4% lower loads at the yield and peak load stages, 3.6% lower deformability, and significantly lower energy dissipation capacity at lower displacement and lower viscous damping.

플로워 진동 저감을 위한 제진재 해석 프로세스 연구 (Study on the Analysis Process of the Damping Material for Reduced Floor Vibration)

  • 김기창;황미경;서성훈;최재민;김찬묵;김진택
    • 한국소음진동공학회논문집
    • /
    • 제21권4호
    • /
    • pp.333-338
    • /
    • 2011
  • This paper describes the design process of floor damping material optimization to reduce structure borne noise. This process uses finite element analysis(FEA) along with experimental techniques to complement each other. The objective of this approach was to develop an optimized damping material application layout and thickness at the initial design stage. The first step is to find the sensitivity areas of vehicle body without damping material applied using FEA. In order to determine the high vibration areas of the floor panel, the velocity was measured using a scanning laser vibrometer from 20 Hz to 300 Hz. To excite the floor panel vibration, shaker was placed at the front suspension attachment point. The second step is the optimization process to determine the light weight solution of damping material. The design guideline of damping material was suggested that the lightweight solution was verified using test result of road noise. Design engineer could efficiently decide the design variable of damping material using parameter analysis results in early design stage.

Modelling of the interfacial damping due to nanotube agglomerations in nanocomposites

  • Jarali, Chetan S.;Madhusudan, M.;Vidyashankar, S.;Lu, Y. Charles
    • Smart Structures and Systems
    • /
    • 제19권1호
    • /
    • pp.57-66
    • /
    • 2017
  • Nanocomposites reinforced with carbon nanotube fibers exhibit greater stiffness, strength and damping properties in comparison to conventional composites reinforced with carbon/glass fibers. Consequently, most of the nanocomposite research is focused in understanding the dynamic characteristics, which are highly useful in applications such as vibration control and energy harvesting. It has been observed that those nanocomposites show better stiffness when the geometry of nanotubes is straight as compared to curvilinear although nanotube agglomeration may exist. In this work the damping behavior of the nanocomposite is characterized in terms of loss factor under the presence of nanotube agglomerations. A micro stick-slip damping model is used to compute the damping properties of the nanocomposites with multiwall carbon nanotubes. The present formulation considers the slippage between the interface of the matrix and the nanotubes as well as the slippage between the interlayers in the nanotubes. The nanotube agglomerations model is also presented. Results are computed based on the loss factor expressed in terms of strain amplitude and nanotube agglomerations. The results show that although-among the various factors such as the material properties (moduli of nanotubes and polymer matrix) and the geometric properties (number of nanotubes, volume fraction of nanotubes, and critical interfacial shear stresses), the agglomeration of nanotubes significantly influences the damping properties of the nanocomposites. Therefore the full potential of nanocomposites to be used for damping applications needs to be analyzed under the influence of nanotube agglomerations.

고무코어패드와 강재이력감쇠장치를 결합한 복합감쇠장치의 이력특성에 관한 연구 (A Study on Characteristics of Hybrid Damping Device Combining Rubber Core Pad and Hysteretic Steel Slit)

  • 박병태;이준호
    • 한국공간구조학회논문집
    • /
    • 제23권1호
    • /
    • pp.45-52
    • /
    • 2023
  • This study proposes an RCS composite damping device that can achieve seismic reinforcement of existing buildings by dissipating energy by inelastic deformation. A series of experiments assessing the performances of the rubber core pad, hysteretic steel slit damping device, and hybrid RCS damping device were conducted. The results showed that the ratios of the deviations to the mean values satisfied the domestic damping-device conformity condition for the load at maximum device displacement in each direction, at the maximum force and minimum force at zero displacement, as well as the hysteresis curve area. In addition, three analysis models based on load-displacement characteristics were proposed for application to seismic reinforcement design. In addition, the validity of the three proposed models was confirmed, as they simulated the experimental results well. Meanwhile, as the shear deformation of the rubber-core pad increased, the hysteretic behavior of super-elasticity greatly increased the horizontal force of the damping device. Therefore, limiting the allowable displacement during design is deemed to be necessary.

국내 지반에서의 비선형 부지효과 예측 (Estimation of Nonlinear Site Effects of Soil Profiles in Korea)

  • 이홍성;윤세웅;박두희;김인태
    • 한국지반공학회논문집
    • /
    • 제24권3호
    • /
    • pp.13-23
    • /
    • 2008
  • 시간영역에서 수행되는 비선형 지반응답해석에서 지반의 미소변형률 감쇠는 Rayleigh 감쇠공식을 이용하여 점성감쇠로서 모사된다. 실제 지반의 미소변형률 감쇠는 주파수의 영향을 받지 않는 반면 시간영역해석에서의 점성감쇠는 주파수의 영향을 크게 받으며 이의 영향정도는 Rayleigh 감쇠공식에 따라서 결정된다. 본 연구에서는 국내 지반에 대한 비선형 지반응답해석시 감쇠공식의 영향을 평가하고자 일련의 해석을 수행하였다. 해석결과 점성감쇠공식은 계산된 응답에 매우 큰 영향을 미치는 것으로 나타났다. 널리 사용되는 Simplified Rayleigh 공식은 심도 30m 이상의 지반에서 수치적으로 발생하는 인공감쇠로 인하여 고주파수에서의 에너지 소산을 과대예측하는 것으로 나타난 반면, Full Rayleigh 공식을 사용하며 적절하게 최적주파수를 선정한 경우, 인공감쇠는 크게 감소하는 것으로 나타났다. 나아가 해석결과를 등가선형해석과 비교한 결과 20m 미만의 얕은 심도 지반에서도 등가선형 해석은 최대가속도를 과대예측 할 수 있는 것으로 나타났다.