• Title/Summary/Keyword: 3-D Analytical Method

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Analytical free vibration solution for angle-ply piezolaminated plate under cylindrical bending: A piezo-elasticity approach

  • Singh, Agyapal;Kumari, Poonam
    • Advances in Computational Design
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    • v.5 no.1
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    • pp.55-89
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    • 2020
  • For the first time, an accurate analytical solution, based on coupled three-dimensional (3D) piezoelasticity equations, is presented for free vibration analysis of the angle-ply elastic and piezoelectric flat laminated panels under arbitrary boundary conditions. The present analytical solution is applicable to composite, sandwich and hybrid panels having arbitrary angle-ply lay-up, material properties, and boundary conditions. The modified Hamiltons principle approach has been applied to derive the weak form of governing equations where stresses, displacements, electric potential, and electric displacement field variables are considered as primary variables. Thereafter, multi-term multi-field extended Kantorovich approach (MMEKM) is employed to transform the governing equation into two sets of algebraic-ordinary differential equations (ODEs), one along in-plane (x) and other along the thickness (z) direction, respectively. These ODEs are solved in closed-form manner, which ensures the same order of accuracy for all the variables (stresses, displacements, and electric variables) by satisfying the boundary and continuity equations in exact manners. A robust algorithm is developed for extracting the natural frequencies and mode shapes. The numerical results are reported for various configurations such as elastic panels, sandwich panels and piezoelectric panels under different sets of boundary conditions. The effect of ply-angle and thickness to span ratio (s) on the dynamic behavior of the panels are also investigated. The presented 3D analytical solution will be helpful in the assessment of various 1D theories and numerical methods.

Analysis of Indole-3-acetic acid from bean sprouts by GC/MSD (GC/MSD를 이용한 콩나물에서의 Indole-3-acetic acid 분석)

  • Lee, Jayoung;Han, IIkeun;Lee, Sangyun;Hawer, Wooderck;Yeo, Ikhyun
    • Analytical Science and Technology
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    • v.8 no.3
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    • pp.375-381
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    • 1995
  • A gas chromatographic analytical method for IAA was developed. IAA was extracted with 80% acetone & methanol. Sample was macerated with 80% acetone & methanol to extract IAA. After filtration, the solvent was removed and residual IAA was esterified with 14% $BF_3$/MeOH. The IAA esters can be easily separated with intermediate polar column.

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DEVELOPMENT AND COMPARISION OF RESIDUE ANALYSIS FOR BENOMYL IN BEAN AND BEAN SPROUTS (두류와 콩나물에서의 BENOMYL의 검색과 그 분리에 관한 연구)

  • Han, Ilkeun;Chai, Jeungyoung;Lee, Jayoung;Yeo, Ikhyun
    • Analytical Science and Technology
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    • v.7 no.3
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    • pp.395-402
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    • 1994
  • Benomyl(Methyl-1-(Butyl Carbamoyl)-Benzimidazole-2-yl-Carbamate) is widely used as pre- and post-harvest pesticide. It converts into MBC(Carbendarzime:Benzimidazole-2-yl-carbamate) and butyl-isocyanate in mild condition. In this study, three analytical methods for MBC were compared in view of detectability, correctness, and sensitivity. The first and second are HPLC analytical method employing the UV detection of MBC. Our new third method was modification of PFBB(pentafluoro-benzylbromide) derivatization method with GC-ECD & MSD. The average recoveries and detection limit of MBC in the newly modified method are 95% and $0.001{\mu}g/g$ in whole bean and bean sprouts respectively. This new method prevent pesticide analysis from misdetecting in bean and bean sprouts.

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3-D Dispersive Transport Model for Turbidity Plume induced by Dredging Operation (준설 탁도플륨의 3차원 이송확산 거동 모형)

  • Kang, See Whan;Kang, In Nam;Lee, Jung Lyul
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.5B
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    • pp.557-562
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    • 2006
  • In order to predict the dispersion of suspended sediment arising from dredging operation in port and navigation channel, a hybrid model for dispersive transport of turbidity plume was developed using Lee's(1998) hybrid method. Using hybrid modeling scheme advection-diffusion equation was solved by the forward particle-tracking method for advection process and by the fixed Eulerian grid method for diffusion process. To examine numerical model simulation in accuracy, the simulated results for 1-D, 2-D, and 3-D cases were compared with the analytical solutions including Kuo, et al's (1985) 3-D mathematical model. The model results were in a good agreement with the analytical solutions and mathematical model for the dispersion of turbidity plume.

A semi-analytical mesh-free method for 3D free vibration analysis of bi-directional FGP circular structures subjected to temperature variation

  • Shamshirsaz, Mahnaz;Sharafi, Shahin;Rahmatian, Javad;Rahmatian, Sajad;Sepehry, Naserodin
    • Structural Engineering and Mechanics
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    • v.73 no.4
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    • pp.407-426
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    • 2020
  • In this present paper, a semi-analytical mesh-free method is employed for the three-dimensional free vibration analysis of a bi-directional functionally graded piezoelectric circular structure. The dependent variables have been expanded by Fourier series with respect to the circumferential direction and have been discretized through radial and axial directions based on the mesh-free shape function. The current approach has a distinct advantage. The nonlinear Green-Lagrange strain is employed as the relationship between strain and displacement fields to observe thermal impacts in stiffness matrices. Nevertheless, high order terms have been neglected at the final steps of equations driving. The material properties are assumed to vary continuously in both radial and axial directions simultaneously in accordance with a power law distribution. The convergence and validation studies are conducted by comparing our proposed solution with available published results to investigate the accuracy and efficiency of our approach. After the validation study, a parametric study is undertaken to investigate the temperature effects, different types of polarization, mechanical and electric boundary conditions and geometry parameters of structures on the natural frequencies of functionally graded piezoelectric circular structures.

Simultaneous determination of low molecular weight amines and quaternary ammonium ions by IC/ESI-MS

  • Jung, Joo-Young;Park, Han-Seok;Kim, Kang-Jin
    • Analytical Science and Technology
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    • v.20 no.3
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    • pp.255-260
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    • 2007
  • A new method for the simultaneous determination of low molecular weight amines and quaternary ammonium ions based on the separation by IC with a suppressor and the detection by MS with ESI has been developed. The method has been applied to the analysis of a mixture containing tetramethylammonium ion, tetraethylammonium ion, tetrapropylammonium ion, triethanolamine, trimethylamine and triethylamine. The constituents were separated by isocratic elution using an IonPac CS17 column, a cation-exchange column, and detected by conductivity and mass spectrometry. The newly developed method for the six components demonstrated that the repeatability in terms of relative standard deviation for three measurements was in the range of 0.1-0.5 %. The detection limits were between 0.2 and $0.9{\mu}g/mL$ by the IC/ESI-MS.

Finite element analysis of RC beam-column joints with high-strength materials

  • Noguchi, H.;Kashiwazaki, T.
    • Structural Engineering and Mechanics
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    • v.5 no.5
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    • pp.625-634
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    • 1997
  • Reinforced concrete (RC) interior beam-column joints with high-strength materials: concrete compressive strength of 100 MPa and the yield strength of longitudinal bars of 685 MPa, were analyzed using three-dimensional (3-D) nonlinear finite element method (FEM). Specimen OKJ3 of joint shear failure type was a plane interior joint, and Specimen 12 of beam flexural failure type was a 3-D interior joint with transverse beams. Though the analytical initial stiffness was higher than experimental one, the analytical results gave a good agreement with the test results on the maximum story shear forces, the failure mode.

Dynamic Analysis of Slotless PM linear Synchronous Motor Using 3-D Analytical Method And Improvement of Controllability Using PI Control System (3차원 해석적 방법을 이용한 슬롯리스형 영구자석 선형 동기전동기의 동특성해석 및 PI제어를 이용한 제어성능 향상)

  • Kim, Mi-Yong;Cho, Sung-Ho;Ahn, Ho-Jin;Kang, Gyu-Hong;Kim, Gyu-Tak
    • Proceedings of the KIEE Conference
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    • 2002.04a
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    • pp.31-33
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    • 2002
  • This paper is presents dynamic analysis of slotless PM linear synchronous motor using 3-D analytical method and improvement of controllability using PI control system. In oredr to calculate dynamic characteristic, back-EMF waveform and inductance are caculated by PM's magnetic field and winding's magnetic filed respectively. PMLSM simulated by PI control system.

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Analysis of Peripheral Surface Settlement during Subway Excavation (지하철 굴착공사에 따른 인접지반의 침하 해석)

  • 문준석;권강오;김홍석;장연수
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.11a
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    • pp.621-628
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    • 2000
  • In this study, the influence of groundwater variation and surface settlement adjacent to the excavation site of subway station on $\bigcirc$$\bigcirc$ Gas station and the $\bigcirc$$\bigcirc$ building is analized. Measurement data of surface settlement, horizontal deformation and groundwater level are used to verify the results of Caspe analytical method and FLAC numerical analysis. Variation of groundwater level adjacent to the excavation site is modelled by the 3-D groundwater flow program, MODFLOW. The results of both the analytical method and the numerical method were quite close to the measurement data of surface settlement.

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Flexural and shear behavior of large diameter PHC pile reinforced by rebar and infilled concrete

  • Bang, Jin-Wook;Lee, Bang-Yeon;Kim, Yun-Yong
    • Computers and Concrete
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    • v.25 no.1
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    • pp.75-81
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    • 2020
  • The purpose of this paper is to provide an experimental and analytical study on the reinforced large diameter pretensioned high strength concrete (R-LDPHC) pile. R-LDPHC pile was reinforced with infilled concrete, longitudinal, and transverse rebar to increase the flexural and shear strength of conventional large diameter PHC (LDPHC) pile without changing dimension of the pile. To evaluate the shear and flexural strength enhancement effects of R-LDPHC piles compared with conventional LDPHC pile, a two-point loading tests were conducted under simple supported conditions. Nonlinear analysis on the basis of the conventional layered sectional approach was also performed to evaluate effects of infilled concrete and longitudinal rebar on the flexural strength of conventional LDPHC pile. Moreover, ultimate strength design method was adopted to estimate the effect of transverse rebar and infilled concrete on the shear strength of a pile. The analytical results were compared with the results of the bending and shear test. Test results showed that the flexural strength and shear strength of R-LDPHC pile were increased by 2.3 times and 3.3 times compared to those of the conventional LDPHC pile, respectively. From the analytical study, it was found that the flexural strength and shear strength of R-LDPHC pile can be predicted by the analytical method by considering rebar and infilled concrete effects, and the average difference of flexural strength between experimental results and calculated result was 10.5% at the ultimate state.