• Title/Summary/Keyword: Transverse Displacement

Search Result 468, Processing Time 0.028 seconds

A new three-dimensional model for free vibration analysis of functionally graded nanoplates resting on an elastic foundation

  • Mahsa Najafi;Isa Ahmadi;Vladimir Sladek
    • Steel and Composite Structures
    • /
    • v.52 no.3
    • /
    • pp.273-291
    • /
    • 2024
  • This paper presents a three-dimensional displacement-based formulation to investigate the free vibration of functionally graded nanoplates resting on a Winkler-Pasternak foundation based on the nonlocal elasticity theory. The material properties of the FG nanoplate are considered to vary continuously through the thickness of the nanoplate according to the power-law distribution model. A general three-dimensional displacement field is considered for the plate, which takes into account the out-of-plane strains of the plate as well as the in-plane strains. Unlike the shear deformation theories, in the present formulation, no predetermined form for the distribution of displacements and transverse strains is considered. The equations of motion for functionally graded nanoplate are derived based on Hamilton's principle. The solution is obtained for simply-supported nanoplate, and the predicted results for natural frequencies are compared with the predictions of shear deformation theories which are available in the literature. The predictions of the present theory are discussed in detail to investigate the effects of power-law index, length-to-thickness ratio, mode numbers and the elastic foundation on the dynamic behavior of the functionally graded nanoplate. The present study presents a three-dimensional solution that is able to determine more accurate results in predicting of the natural frequencies of flexural and thickness modes of nanoplates. The effects of parameters that play a key role in the analysis and mechanical design of functionally graded nanoplates are investigated.

Analysis of Seismic Response of the Buried Pipeline with Pipe End Conditions (II) (단부 경계조건을 고려한 매설관의 동적응답 해석 (II))

  • Lee, Byong-Gil;Park, Byung-Ho;Jeong, Jin-Ho
    • Proceedings of the Korean Geotechical Society Conference
    • /
    • 2005.03a
    • /
    • pp.328-337
    • /
    • 2005
  • This work reports results of our study on the dynamic responses of the buried pipelines both along the axial and the transverse directions under various boundary end conditions. We have considered three cases, i.e., the free ends, the fixed ends, and the fixed-free ends for the axial direction, and three more cases including the guided ends, the simply supported ends, and the supported-guided ends for the transverse direction. In order to investigate the effect of the boundary end conditions for the dynamic responses of the buried pipeline, we have devised a computer program to find the solutions of the formulae on the dynamic responses (displacements, axial strains, and bending strains) under the various boundary end conditions considered in this study. The dynamic behavior of the buried pipelines for the forced vibration is found to exhibit two different forms, a transient response and a steady state response, depending on the time before and after the transfer of a seismic wave on the end of the buried pipeline. The former is identified by a slight change in its behavior before the sinusoidal-shaped seismic wave travels along the whole length of the pipeline whereas the latter by the complete form of a sinusoidal wave when the wave travels throughout the pipeline. The transient response becomes insignificant as the wave speed increases. We have observed a resonance when the mode wavelength matches the wavelength of the seismic wave, where the mode number(k) of resonance for the axial direction is found to be $\overline{\omega}/{\pi}V+1/2$ for the fixed-free ends, $\overline{\omega}/{\pi}V+1$ for the free ends, and $\overline{\omega}/{\pi}V$ for the fixed ends, respectively. By adding 10 more modes to the mode number(k) of resonance, we were able to study all the dynamic responses of the buried pipeline for the axial direction. On the other hand, we have not been able to observe a resonance in the analysis for the transverse direction, because the dynamic responses are found to vanish after the seventh mode. From the results of the dynamic responses at the many points of the pipeline, we have found that the responses appeared to be dependent critically on the boundary end conditions. Such effects are found to be most prominent especially for the maximum values of the displacement and the strain and its position.

  • PDF

Behavior of Non-seismic Detailed Low-Rise R/C Exterior Beam-to-Column Joints Subjected to Cyclic Loading (반복 하중을 받는 비내진 저층 RC 구조물의 외부 기둥-보 접합부의 거동)

  • Sur, Man-Sik;Chang, Chun-Ho;Kim, Young-Moon
    • Magazine of the Korea Concrete Institute
    • /
    • v.11 no.1
    • /
    • pp.109-118
    • /
    • 1999
  • Seismic design code has been performed since 1988 in Korea, so it has not been applied to low-rise reinforced concrete buildings which had been built before 1988. Those building have been designed only for gravity loads based on non-seismic code, Therefore, even minor earthquake occurred, those buildings might have serious damages. In this paper, to investigate the behavior of low-rise reinforced concrete moment resisting frame which had been built in according to the building code of Korea that had been published before 1988, two type of 1/2 scaled exterior beam-column subassemblies which have non-seismic detailing based on the building code of Korea were constructed and tested with reversed cycling loading under the displacement control method. The special features of joint with non-seismic detailing is that there is no transverse reinforcement in the joint. In tests, cracks pattern, strength degradation, loss of stiffness, energy dissipation and the slippage of beam and column bars were investigated. Cracks did not occurred in the joint even seismic loading of 0.12g which is considered as peak ground acceleration in Korea was applied. And increasing seismic loading above 0.12g shear crack happened in the joint which have not transverse beam.

Effect of Head Positioning in Panoramic Radiography on the Vertical and Horizontal Magnification : Displacement along the Sagittal and Transverse Plane (파노라마방사선사진에서 환자의 머리 위치가 하악 수직, 수평 확대율에 미치는 영향 : 전후방 및 좌우 이동)

  • Kim, Yong-Gun;Lee, Young-Kyun;An, Seo-Young
    • Journal of Dental Rehabilitation and Applied Science
    • /
    • v.29 no.3
    • /
    • pp.249-258
    • /
    • 2013
  • The purpose of this study was to investigate how image magnification in dental panoramic radiography is influenced by object position. Five metal balls (4 mm in diameter, 2 for the anterior and 3 for the posterior region on the right side) were placed above alveolar crest of dry skull considering extraction socket and dental arch. Dry skull was radiographed using OP-100D (Instrumentarium Imaging Co., Tuusula, Finland) at proper and displaced position along the sagittal and transverse plane at 3 mm, 6 mm, 9 mm, 12 mm and 15 mm using special mount which can control precise movement. Images were stored in DICOM files and were measured by ruler equipped within INFINITT PACS software (Infinitt Co., Ltd., Seoul, Korea). The mean horizontal magnification was 1.224-1.439 and mean vertical magnification was 1.286 - 1.345 at proper position. Vertical magnification resulted in less variation (1.245-1.418) than horizontal magnification (0.798-6.297) according to the sagittal and transverse displacements. Head positioning is important for linear measurement on panoramic radiography and inclusion of standard object (for instance, metal ball) is helpful to anticipate exact magnification of panoramic radiographs at various location.

Hysteretic Behavior of Diagonally Reinforced Concrete Coupling Beams According to Aspect Ratio and Volume Fraction of Steel Fiber Under Cyclic Loading (반복하중을 받는 대각보강된 철근콘크리트 연결보의 강섬유 형상비와 혼입률에 따른 이력거동)

  • Choi, Ji-Yoon;Son, Dong-Hee;Bae, Baek-Il;Choi, Chang-Sik
    • Journal of the Korea institute for structural maintenance and inspection
    • /
    • v.26 no.3
    • /
    • pp.84-91
    • /
    • 2022
  • In this study, an experimental study was conducted to analyze the hysteresis behavior according to the steel fiber aspect ratio and volume fraction of diagonally reinforced concrete coupling beams under to cyclic loading. The aspect ratio and volume fraction of the steel fibers were set as the main variables, and 4 specimens were fabricated in which the amount of transverse reinforcement of the coupling beam suggested in the domestic building structural standard was relaxed by about 53%. In the experiment, cyclic loading experiments were performed in the displacement control method in accordance with ACI 374.2R-13, and as a result of the experiment, it was found that all specimens containing steel fibers exceeded the nominal shear strength suggested by the current structural standards. As the aspect ratio of the steel fibers increased, the steel fibers prevented the buckling of the diagonal reinforcement, and the bridging effect of the steel fibers held the crack surface of the concrete. The shear strength, stiffness reduction and energy dissipation capacity of the specimens containing steel fibers were superior to those of the Vf0 specimens without steel fibers. Therefore, it is judged that the steel fiber reinforced concrete can relieve the details of the transverse reinforced.

Bidirectional Lateral Loading of RC Columns with Short Lap Splices (겹침이음 길이가 짧은 RC 기둥의 이방향 횡하중 가력 실험)

  • Lee, Chang Seok;Park, Yi Seul;Han, Sang Whan
    • Journal of the Earthquake Engineering Society of Korea
    • /
    • v.24 no.1
    • /
    • pp.19-27
    • /
    • 2020
  • Reinforced concrete (RC) buildings built in the 1980s are vulnerable to seismic behavior because they were designed without any consideration of seismic loads. These buildings have widely spaced transverse reinforcements and a short lap splice length of longitudinal reinforcements, which makes them vulnerable to severe damage or even collapse during earthquakes. The purpose of this study is to investigate the impact of bidirectional lateral loads on RC columns with deficient reinforcement details. An experimental test was conducted for two full-scale RC column specimens. The test results of deficient RC columns revealed that bidirectional loading deteriorates the seismic capacity when compared with a column tested unidirectionally. Modeling parameters were extracted from the tested load-displacement response and compared with those proposed in performance-based design standards. The modeling parameters proposed in the standards underestimated the deformation capacity of tested specimens by nearly 50% and overestimated the strength capacity by 15 to 20%.

Static deflection and dynamic behavior of higher-order hyperbolic shear deformable compositionally graded beams

  • Bensaid, Ismail;Cheikh, Abdelmadjid;Mangouchi, Ahmed;Kerboua, Bachir
    • Advances in materials Research
    • /
    • v.6 no.1
    • /
    • pp.13-26
    • /
    • 2017
  • In this work we introduce a higher-order hyperbolic shear deformation model for bending and frees vibration analysis of functionally graded beams. In this theory and by making a further supposition, the axial displacement accounts for a refined hyperbolic distribution, and the transverse shear stress satisfies the traction-free boundary conditions on the beam boundary surfaces, so no need of any shear correction factors (SCFs). The material properties are continuously varied through the beam thickness by the power-law distribution of the volume fraction of the constituents. Based on the present refined hyperbolic shear deformation beam model, the governing equations of motion are obtained from the Hamilton's principle. Analytical solutions for simply-supported beams are developed to solve the problem. To verify the precision and validity of the present theory some numerical results are compared with the existing ones in the literature and a good agreement is showed.

Attenuation of Structureborne Noise Using Wave Guide Theory (도파관 이론을 이용한 고체소음 전달해석)

  • Suk-W.,Kim;Jae-S.,Kim;Keuk-C.,Kim
    • Bulletin of the Society of Naval Architects of Korea
    • /
    • v.27 no.2
    • /
    • pp.78-86
    • /
    • 1990
  • The vertical attenuation of structureborne noise in a ship structure is studied by means of the wave guide theory. When modeling a ship structure as an acoustic wave guide system the cross mode is derived from the assumption about the boundary of the system, i.e. the constraint due to transverse frames. In this paper, the constraint is relaxed so that the displacement at the boundaries could take place. The numerical result shows better agreement with the measured one than that of the previous assumption of fixed boundary condition in the low frequency region. The effect of local changes of mass and damping factors on the attenuation losses are also investigated numerically.

  • PDF

Computer based estimation of backbone curves for hysteretic Response of reinforced concrete columns under static cyclic lateral loads

  • Rizwan, M.;Chaudhary, M.T.A.;Ilyas, M.;Hussain, Raja Rizwan;Stacey, T.R.
    • Computers and Concrete
    • /
    • v.14 no.2
    • /
    • pp.193-209
    • /
    • 2014
  • Cyclic test of the columns is of practical relevance to the performance of compression members during an earthquake loading. The strength, ductility and energy absorption capabilities of reinforced concrete (RC) columns subjected to cyclic loading have been estimated by many researchers. These characteristics are not normally inherent in plain concrete but can be achieved by effectively confining columns through transverse reinforcement. An extensive experimental program, in which performance of four RC columns detailed according to provisions of ACI-318-08 was studied in contrast with that of four columns confined by a new proposed technique. This paper presents performance of columns reinforced by standard detailing and cast with 25 and 32 MPa concrete. The experimentally achieved load-displacement hysteresis and backbone curves of two columns are presented. The two approaches which work in conjunction with Response 2000 have been suggested to draw analytical back bone curves of RC columns. The experimental and analytical backbone curves are found in good agreement. This investigation gives a detail insight of the response of RC columns subjected to cyclic loads during their service life. The suggested analytical procedures will be available to the engineers involved in design to appraise the capacity of RC columns.

Effects of thickness stretching in FGM plates using a quasi-3D higher order shear deformation theory

  • Adim, Belkacem;Daouadji, Tahar Hassaine
    • Advances in materials Research
    • /
    • v.5 no.4
    • /
    • pp.223-244
    • /
    • 2016
  • In this paper, a higher order shear and normal deformation theory is presented for functionally graded material (FGM) plates. By dividing the transverse displacement into bending, shear and thickness stretching parts, the number of unknowns and governing equations for the present theory is reduced, significantly facilitating engineering analysis. Indeed, the number of unknown functions involved in the present theory is only five, as opposed to six or even greater numbers in the case of other shear and normal deformation theories. The present theory accounts for both shear deformation and thickness stretching effects by a hyperbolic variation of ail displacements across the thickness and satisfies the stress-free boundary conditions on the upper and lower surfaces of the plate without requiring any shear correction factor. Equations of motion are derived from Hamilton's principle. Analytical solutions for the bending and free vibration analysis are obtained for simply supported plates. The obtained results are compared with three-dimensional and quasi- three-dimensional solutions and those predicted by other plate theories. It can be concluded that the present theory is not only accurate but also simple in predicting the bending and free vibration responses of functionally graded plates.