• 제목/요약/키워드: natural vibration

검색결과 3,257건 처리시간 0.027초

Analytical study of bending and free vibration responses of functionally graded beams resting on elastic foundation

  • Chaabane, Lynda Amel;Bourada, Fouad;Sekkal, Mohamed;Zerouati, Sara;Zaoui, Fatima Zohra;Tounsi, Abdeldjebbar;Derras, Abdelhak;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
    • /
    • 제71권2호
    • /
    • pp.185-196
    • /
    • 2019
  • In this investigation, study of the static and dynamic behaviors of functionally graded beams (FGB) is presented using a hyperbolic shear deformation theory (HySDT). The simply supported FG-beam is resting on the elastic foundation (Winkler-Pasternak types). The properties of the FG-beam vary according to exponential (E-FGB) and power-law (P-FGB) distributions. The governing equations are determined via Hamilton's principle and solved by using Navier's method. To show the accuracy of this model (HySDT), the current results are compared with those available in the literature. Also, various numerical results are discussed to show the influence of the variation of the volume fraction of the materials, the power index, the slenderness ratio and the effect of Winkler spring constant on the fundamental frequency, center deflection, normal and shear stress of FG-beam.

비구조요소의 내진 설계를 위한 층응답스펙트럼 생성 기법 (A Method for Generating Floor Response Spectra for Seismic Design for Non-Structural Components)

  • 장성진;박동욱;김재봉
    • 한국구조물진단유지관리공학회 논문집
    • /
    • 제23권1호
    • /
    • pp.154-162
    • /
    • 2019
  • 세계적으로 지진과 같은 자연재해로 인한 대규모 피해가 증가하고 있다. 다양한 연구를 통하여 건물에 대한 내진성능은 확보되었으나, 비구조요소의 내진성능 확보 미흡으로 인하여 인명 피해 및 경제적 손실이 발생하고 있다. 비구조요소는 구조물에 설치되는 위치가 다양하고, 구조물의 위치에 따라 발생하는 진동특성이 다르므로 구조물의 위치별 응답스펙트럼이 필요하다. 또한 구조물의 형식과 구조물이 설치되는 위치에 따라 구조물에 발생하는 응답스펙트럼이 다르게 발생한다. 따라서 응답스펙트럼의 선정이 중요하므로 비구조요소에 작용하는 응답스펙트럼을 도출할 수 있는 명확한 방법이 필요하다. 본 논문에서는 응답스펙트럼을 도출하는 방법을 제안하였으며, 제안한 방법으로 국내에서 발생 가능한 지반응답스펙트럼과 구조시스템을 선정하여 구조해석을 수행하였다. 또한, 간단한 수식으로 응답스펙트럼을 도출하는 방법을 제안함으로서, 비구조요소의 내진시험에 필요한 응답스펙트럼을 생성할 수 있도록 하였다.

Investigation of Live Load Deflection Limit for Steel Cable Stayed and Suspension Bridges

  • Park, Ki-Jung;Kim, Do-Young;Hwang, Eui-Seung
    • 국제강구조저널
    • /
    • 제18권4호
    • /
    • pp.1252-1264
    • /
    • 2018
  • Long span bridges such as steel cable stayed and suspension bridges are usually more flexible than short to medium span bridges and expected to have large deformations. Deflections due to live load for long span bridges are important since it controls the overall heights of the bridge for securing the clearance under the bridge and serviceability for securing the comfort of passengers or pedestrians. In case of sea-crossing bridges, the clearance of bridges is determined considering the height of the ship master from the surface of the water, the trim of the ship, the psychological free space, the tide height, and live load deflection. In the design of bridges, live load deflection is limited to a certain value to minimize the vibrations. However, there are not much studies that consider the live load deflection and its effects for long span bridges. The purpose of this study is to investigate the suitability of live load deflection limit and its actual effects on serviceability of bridges for steel cable-stayed and suspension bridges. Analytical study is performed to calculate the natural frequencies and deflections by design live load. Results are compared with various design limits and related studies by Barker et al. (2011) and Saadeghvaziri et al. (2012). Two long span bridges are selected for the case study, Yi Sun-Sin grand bridge (suspension bridge, main span length = 1545 m) and Young-Hung grand bridge (cable stayed bridge, main span length = 240 m). Long-term measured deflection data by GNSS system are collected from Yi Sun-Sin grand bridge and compared with the theoretical values. Probability of exceedance against various deflection limits are calculated from probability distribution of 10-min maximum deflection. The results of the study on the limitation of live load deflection are expected to be useful reference for the design, the proper planning and deflection review of the long span bridges around the world.

스마트폰 내장 가속도계와 카메라를 이용한 케이블 장력 추정에 관한 연구 (A Study on Cable Tension Estimation Using Smartphone Built-in Accelerometer and Camera)

  • 이형진
    • 한국산업융합학회 논문집
    • /
    • 제25권5호
    • /
    • pp.773-782
    • /
    • 2022
  • Estimation of cable tension through proper measurements is one of the essential tasks in evaluating the safety of cable structures. In this paper, a study on cable tension estimation using the built-in accelerometer and camera in a smartphone was conducted. For the experimental study, visual displacement measurement using a smartphone camera and acceleration measurement using a built-in accelerometer were performed in the cable-stayed bridge model. The estimated natural frequencies and transformed tensions from these measurements were compared with the theoretical values and results from the normal visual displacement method. Through comparison, it can be seen that the error between the method using the smartphone and the normal visual displacement is sufficiently small to be acceptable. It has also been shown that those errors are much smaller than the difference between the values calculated by the theoretical model. These results show that the deviation according to the type of measurement method is not large and it is rather important to use an appropriate mathematical model. In conclusion, in the case of cable tension estimation, it can be said that the visual displacement measurement and acceleration using a smartphone can be a sufficiently applicable method, just like the normal visual displacement method. It is also noteworthy that the smartphone accelerometer has a larger magnitude error and has more limitations such as high-frequency sampling instability compared to the visual displacement method, but shows almost the same performance as the visual displacement method in this cable tension estimation.

상시미동 표면파 분석에 의한 김해평야 퇴적층 심부 전단파 속도 결정 (Characterization of Deep Shear Wave Velocity Profiles in the Gimhae Plains Using the Microtremor Array Method)

  • 김재휘;정석호
    • 한국지반공학회논문집
    • /
    • 제38권8호
    • /
    • pp.17-27
    • /
    • 2022
  • 김해평야 퇴적층의 동적 특성을 결정하기 위해 6개의 위치에서 상시미동 수평-수직비(HVSR)법으로 지반 고유진동수(f0)를 도출하고 High frequency f-k방법과 Modified Spatial Autocorrelation 방법을 적용하여 상시미동 기반 표면파 분석을 수행하였다. 레일리파 분산곡선과 지반 고유진동수를 바탕으로 역해석을 실시하여 전단파 속도 주상도를 도출하였다. 분석 결과에 의하면 김해평야 퇴적층 지역은 1hz 이상의 진동수 대역에서 상당한 규모의 지반운동 증폭이 예상된다. 천부 퇴적층은 대체로 200m/s 내외의 전단파 속도를 보이고 60m~100m 사이의 깊이에서 기반암이 존재할 것으로 추정되며, 다수의 위치에서 천부 퇴적층과 기반암 사이에 Vs=400m/s 가량의 하성 퇴적층이 존재하는 것으로 나타났다. 역해석 결과를 바탕으로 김해평야 퇴적층의 전단파 속도-깊이 모델을 도출하였으며, 본 연구에 따르면 김해평야 퇴적층 지역에서 내진설계일반(KDS 17 10 00)의 S6지반에 해당하는 위치의 면적은 상당할 것으로 예상된다.

Aeroelastic testing of a self-supported transmission tower under laboratory simulated tornado-like vortices

  • Ezami, Nima;El Damatty, Ashraf;Hamada, Ahmed;Hangan, Horia
    • Wind and Structures
    • /
    • 제34권2호
    • /
    • pp.199-213
    • /
    • 2022
  • The current study investigates the dynamic effects in the tornado-structure response of an aeroelastic self-supported lattice transmission tower model tested under laboratory simulated tornado-like vortices. The aeroelastic model is designed for a geometric scale of 1:65 and tested under scaled down tornadoes in the Wind Engineering, Energy and Environment (WindEEE) Research Institute. The simulated tornadoes have a similar length scale of 1:65 compared to the full-scale. An extensive experimental parametric study is conducted by offsetting the stationary tornado center with respect to the aeroelastic model. Such aeroelastic testing of a transmission tower under laboratory tornadoes is not reported in the literature. A multiaxial load cell is mounted underneath the base plate to measure the base shear forces and overturning moments applied to the model in three perpendicular directions. A three-axis accelerometer is mounted at the level of the second cross-arm to measure response accelerations to evaluate the natural frequencies through a free-vibration test. Radial, tangential, and axial velocity components of the tornado wind field are measured using cobra probes. Sensitivity analyses are conducted to assess the variation of the structural dynamic response associated with the location of the tornado relative to the lattice transmission tower. Three different layouts representing the change in the orientation of the tower model relative to the components of the tornado-induced loads are considered. The structural responses of the aeroelastic model in terms of base shear forces, overturning moments, and lateral accelerations are measured. The results are utilized to understand the dynamic response of self-supported transmission towers to the tornado-induced loads.

On the wave dispersion and vibration characteristics of FG plates resting on elastic Kerr foundations via HSDT

  • Bennai, Riadh;Fourn, Hocine;Nebab, Mokhtar;Atmane, Redhwane Ait;Mellal, Fatma;Atmane, Hassen Ait;Benadouda, Mourad;Touns, Abdelouahed
    • Advances in concrete construction
    • /
    • 제14권3호
    • /
    • pp.169-183
    • /
    • 2022
  • In this article, vibrational behavior and wave propagation characteristics in (FG) functionally graded plates resting on Kerr foundation with three parameters is studied using a 2D dimensional (HSDT) higher shear deformation theory. The new 2D higher shear deformation theory has only four variables in field's displacement, which means has few numbers of unknowns compared with others theories. The shape function used in this theory satisfies the nullity conditions of the shear stresses on the two surfaces of the FG plate without using shear correction factors. The FG plates are considered to rest on the Kerr layer, which is interconnected with a Pasternak-Kerr shear layer. The FG plate is materially inhomogeneous. The material properties are supposed to vary smoothly according to the thickness of the plate by a Voigt's power mixing law of the volume fraction. The equations of motion due to the dynamics of the plate resting on a three-parameter foundation are derived using the principle of minimization of energies; which are then solved analytically by the Navier technique to find the vibratory characteristics of a simply supported plate, and the wave propagation results are derived by using the dispersion relations. Perceivable numerical results are fulfilled to evaluate the vibratory and the wave propagation characteristics in functionally graded plates and some parameters such wave number, thickness ratio, power index and foundation parameters are discussed in detail.

The effect of visco-Pasternak foundation on the free vibration behavior of exponentially graded sandwich plates with various boundary conditions

  • Fatima, Bounouara;Salem Mohammed, Aldosari;Abdelbaki, Chikh;Abdelhakim, Kaci;Abdelmoumen Anis, Bousahla;Fouad, Bourada;Abdelouahed, Tounsi;Kouider Halim, Benrahou;Hind, Albalawi;Abdeldjebbar, Tounsi
    • Steel and Composite Structures
    • /
    • 제46권3호
    • /
    • pp.367-383
    • /
    • 2023
  • In this investigation, an improved integral trigonometric shear deformation theory is employed to examine the vibrational behavior of the functionally graded (FG) sandwich plates resting on visco-Pasternak foundations. The studied structure is modelled with only four unknowns' variables displacements functions. The simplicity of the developed model being in the reduced number of variables which was made with the help of the use of the indeterminate integral in the formulation. The current kinematic takes into consideration the shear deformation effect and does not require any shear correction factors as used in the first shear deformation theory. The equations of motion are determined from Hamilton's principle with including the effect of the reaction of the visco-Pasternak's foundation. A Galerkin technique is proposed to solve the differentials governing equations, which enables one to obtain the semi-analytical solutions of natural frequencies for various clamped and simply supported FG sandwich plates resting on visco-Pasternak foundations. The validity of proposed model is checked with others solutions found in the literature. Parametric studies are performed to illustrate the impact of various parameters as plate dimension, layer thickness ratio, inhomogeneity index, damping coefficient, vibrational mode and elastic foundation on the vibrational behavior of the FG sandwich plates.

가속도 및 임피던스 신호를 이용한 PSC 거더교의 하이브리드 손상 모니터링 체계 (Hybrid Damage Monitoring Scheme of PSC Girder Bridges using Acceleration and Impedance Signature)

  • 김정태;박재형;홍동수;나원배
    • 대한토목학회논문집
    • /
    • 제28권1A호
    • /
    • pp.135-146
    • /
    • 2008
  • 본 논문에서는 가속도 및 임피던스 신호를 이용하여 프리스트레스트 콘크리트(PSC) 거더교에 적합한 하이브리드 손상 모니터링 체계를 제안하였다. PSC 거더교의 주된 손상유형으로 텐던의 긴장력 감소와 콘크리트 거더의 휨 강성 저하를 고려하였다. 제안된 하이브리드 체계는 손상경보, 손상분류 및 손상평가와 같이 크게 3단계로 구성하였다. 첫 번째 단계에서는 가속도 특성 변화를 모니터링하여 전역적인 손상의 발생을 경보한다. 두 번째 단계에서는 임피던스 특성 변화를 모니터링하여 손상유형이 긴장력 감소인지 휨 강성 저하인지를 분류한다. 세 번째 단계에서는 손상유형에 적합한 손상평가기법을 이용하여 손상의 위치와 크기를 평가한다. 손상유형이 휨 강성 저하인 경우에서는 모드형상기반 손상검색 기법을 적용하였고, 손상유형이 긴장력 감소인 경우에서는 고유진동수기반 긴장력 추정 기법을 적용하였다. 모형 PSC 거더 실험을 통해 제안된 하이브리드 손상모니터링 체계의 유용성을 평가하였다.

진동기반의 SI 기법을 이용한 현수교 행어의 장력 추정 : III. 실험적 검증 (Estimating Tensile Force of Hangers in Suspension Bridges Using Frequency Based SI Technique : III. Experimental Verification)

  • 장한택;김병화;박대효
    • 대한토목학회논문집
    • /
    • 제28권2A호
    • /
    • pp.215-222
    • /
    • 2008
  • 본 논문은 현수교 이중 행어 시스템에 대한 진동기반 SI 장력추정기법의 실험적 검증을 소개한다. 현수교 이중 행어 시스템을 모사한 실험 모델을 제작되었으며, 세가지 경우의 클램프 위치에 대한 세가지 경우의 행어장력에 대해서 총 9회의 진동실험이 반복 수행되었다. 각각의 계측된 가속도 응답 데이터에 대해서, 모달분석을 통한 고유진동수와 모드 형상이 추출되었다. 추출된 일련의 동특성치들에 대하여 기존의 장력추정 이론인 현이론과 선형회기법을 적용하여 장력을 추정하였다. 또한 진동기반 SI 장력추정기법을 적용하여 장력을 추정하였는데, 추정된 장력은 수치모델과 계측모델의 동적 특성치들이 동일하게 될 때, 수치모델의 케이블 장력을 인식함으로써 추정되었다. 추정결과, 클램프의 위치에 따라서 기존의 이론을 이용한 추정장력의 오차는 최대 53.1%까지 보이는 반면, 진동기반 SI기법을 이용한 추정장력기법의 장력추정 오차는 모든 경우에 대하여 3% 이내 이다.