• Title/Summary/Keyword: DQ theory

Search Result 36, Processing Time 0.022 seconds

Crystal growth and optical absorption of $Mg_{0.16}Zn_{0.84}Te:Co $ single crystal ($Mg_{0.16}Zn_{0.84}Te:Co $단결정 성장과 광흡수 특성)

  • 정상조
    • Journal of the Korean Crystal Growth and Crystal Technology
    • /
    • v.7 no.4
    • /
    • pp.548-554
    • /
    • 1997
  • The single crystal of $Mg_{0.16}Zn_{0.84}$Te:Co(Co:0.01 mole%) was grown by vertical Bridgman method. The crystal structure of $Mg_{0.16}Zn$_{0.84}$Te:Co and optical absorption properties of this compound were studied. The grown single crystal has a cubic structure and a lattice constant a=6.1422 $\AA$ were determined by X-ray diffraction. As a result of the optical absorption spectra of $Mg_{0.16}Zn_{0.84}$Te:Co, the intracenter transitions due to $Co^{2+}$ ions were detected for $A-band:^4A_2(^4F){\to}^4T_2(^4F),\; B-band:^4A_2(^4F){\to}^4T_1(^4F), C- band:^4A_2(^4F){\to}^4T_1(^4P)$.The charge transfer transition near the absorption edge was observed in the wavelength range of 550 to 770 nm. According to the crystal field theory, the crystal field parameter(Dq) and the Racah parameter(B) were determined.

  • PDF

Seismic response of SiO2 nanoparticles-reinforced concrete pipes based on DQ and newmark methods

  • Motezaker, Mohsen;Kolahchi, Reza
    • Computers and Concrete
    • /
    • v.19 no.6
    • /
    • pp.745-753
    • /
    • 2017
  • Dynamic analysis of a concrete pipes armed with Silica ($SiO_2$) nanoparticles subjected to earthquake load is presented. The structure is modeled with first order shear deformation theory (FSDT) of cylindrical shells. Mori-Tanaka approach is applied for obtaining the equivalent material properties of the structure considering agglomeration effects. Based on energy method and Hamilton's principle, the motion equations are derived. Utilizing the harmonic differential quadrature method (HDQM) and Newmark method, the dynamic displacement of the structure is calculated for the Kobe earthquake. The effects of different parameters such as geometrical parameters of pipe, boundary conditions, $SiO_2$ volume percent and agglomeration are shown on the dynamic response of the structure. The results indicate that reinforcing the concrete pipes by $SiO_2$ nanoparticles leads to a reduction in the displacement of the structure during an earthquake.

Numerical investigation on scale-dependent vibrations of porous foam plates under dynamic loads

  • Fenjan, Raad M.;Ahmed, Ridha A.;Faleh, Nadhim M.;Fatima, Fatima Masood
    • Structural Monitoring and Maintenance
    • /
    • v.7 no.2
    • /
    • pp.85-107
    • /
    • 2020
  • Dynamic responses of porous piezoelectric and metal foam nano-size plates have been examined via a four variables plate formulation. Diverse pore dispersions named uniform, symmetric and asymmetric have been selected. The piezoelectric nano-size plate is subjected to an external electrical voltage. Nonlocal strain gradient theory (NSGT) which includes two scale factors has been utilized to provide size-dependent model of foam nanoplate. The presented plate formulation verifies the shear deformations impacts and it gives fewer number of field components compared to first-order plate model. Hamilton's principle has been utilized for deriving the governing equations. Achieved results by differential quadrature (DQ) method have been verified with those reported in previous studies. The influences of nonlocal factor, strain gradients, electrical voltage, dynamical load frequency and pore type on forced responses of metal and piezoelectric foam nano-size plates have been researched.

Static response of 2-D functionally graded circular plate with gradient thickness and elastic foundations to compound loads

  • Behravan Rad, A.
    • Structural Engineering and Mechanics
    • /
    • v.44 no.2
    • /
    • pp.139-161
    • /
    • 2012
  • In this paper, the static behavior of bi-directional functionally graded (FG) non-uniform thickness circular plate resting on quadratically gradient elastic foundations (Winkler-Pasternak type) subjected to axisymmetric transverse and in-plane shear loads is carried out by using state-space and differential quadrature methods. The governing state equations are derived based on 3D theory of elasticity, and assuming the material properties of the plate except the Poisson's ratio varies continuously throughout the thickness and radius directions in accordance with the exponential and power law distributions. The stresses and displacements distribution are obtained by solving state equations. The effects of foundation stiffnesses, material heterogeneity indices, geometric parameters and loads ratio on the deformation and stress distributions of the FG circular plate are investigated in numerical examples. The results are reported for the first time and the new results can be used as a benchmark solution for future researches.

Single-Phase Impedance-Source Dynamic Voltage Restorer (단상 임피던스-소스 동적 전압 보상기)

  • Park, H.J.;Jung, Y.G.;Lim, Y.C.
    • Proceedings of the KIPE Conference
    • /
    • 2008.06a
    • /
    • pp.458-461
    • /
    • 2008
  • This paper deals with a single-phase impedance-source dynamic voltage restorer (Impedance-DVR) to mitigate voltage sag/swell for the critical loads. The proposed system is composed of passive filter and impedance-source topology inverter. As an ESS(Energy Storage System) of the proposed system is employed the Proton Exchange Membrane Fuel Cells (PEMFC). To calculate and control the compensation voltage, single-phase $^id-^iq$ theory in dq rotating reference frame and PI controller are used. Simulation results under voltage sag and swell are presented to show the performance.

  • PDF

Modeling and Multivariable Control of a Novel Multi-Dimensional Levitated Stage with High Precision

  • Hu Tiejun;Kim Won-jong
    • International Journal of Control, Automation, and Systems
    • /
    • v.4 no.1
    • /
    • pp.1-9
    • /
    • 2006
  • This paper presents the modeling and multivariable feedback control of a novel high-precision multi-dimensional positioning stage. This integrated 6-degree-of-freedom. (DOF) motion stage is levitated by three aerostatic bearings and actuated by 3 three-phase synchronous permanent-magnet planar motors (SPMPMs). It can generate all 6-DOF motions with only a single moving part. With the DQ decomposition theory, this positioning stage is modeled as a multi-input multi-output (MIMO) electromechanical system with six inputs (currents) and six outputs (displacements). To achieve high-precision positioning capability, discrete-time integrator-augmented linear-quadratic-regulator (LQR) and reduced-order linearquadratic-Gaussian (LQG) control methodologies are applied. Digital multivariable controllers are designed and implemented on the positioning system, and experimental results are also presented in this paper to demonstrate the stage's dynamic performance.

Vibration response of smart concrete plate based on numerical methods

  • Taherifar, Reza;Chinaei, Farhad;Faramoushjan, Shahram Ghaedi;Esfahani, Mohammad Hossein Nasr;Esfahani, Shabnam Nasr;Mahmoudi, Maryam
    • Smart Structures and Systems
    • /
    • v.23 no.4
    • /
    • pp.387-392
    • /
    • 2019
  • This research deals with the vibration analysis of embedded smart concrete plate reinforced by zinc oxide (ZnO). The effective material properties of structure are considered based on mixture rule. The elastic medium is simulated by orthotropic visco-Pasternak medium. The motion equations are derived applying Sinusoidal shear deformation theory (SSDT). The differential quadrature (DQ) method is applied for calculating frequency of structure. The effects of different parameters such as volume percent of ZnO, boundary conditions and geometrical parameters on the frequency of system are shown. The results are compared with other published works in the literature. Results indicate that the ZnO have an important role in frequency of structure.

Investigating nonlinear vibration behavior of sandwich panels with multi-scale skins based on a numerical method

  • Cui, Zhenming;Cai, Xin;Ali, H. Elhosiny;Muhsen, Sami
    • Structural Engineering and Mechanics
    • /
    • v.83 no.3
    • /
    • pp.283-292
    • /
    • 2022
  • A nonlinear vibrational analysis of sandwich curved panels having multi-scale face sheets has been performed in this article based on differential quadrature method (DQM). All mechanical properties of multi-scale skins have been established in the context of three-dimensional Mori-Tanaka scheme for which the influences of glass fibers and random carbon nanotubes (CNTs) have been taken into account. The governing equations for sandwich the panel have been developed based upon thin shell formulation in which geometry nonlinearities have been taken into account. Next, DQ approach has been applied to solve the governing equations for determining the relationships of frequencies with deflections for curved panels. It will be demonstrated that the relationships of frequencies with deflections are dependent on the changing of CNT weight fractions, fibers alignment, fibers volume, panel radius and skin thickness.

Dynamic instability region analysis of reinforced-CNTs truncated conical shells using mixed DQ-Bolotin method

  • H. Vossough;F. Ahmadi;S. Golabi
    • Structural Engineering and Mechanics
    • /
    • v.87 no.2
    • /
    • pp.129-136
    • /
    • 2023
  • In this paper, dynamic buckling of truncated conical shell made of carbon nanotubes (CNTs) composite is studied. In aerospace industries, this category of structures is utilized extensively due to wide range of engineering applications. To calculate the effective material properties of the nanocomposite, The Mori-Tanaka model is applied. Also, the motion equations are derived with the assistance of the first order shear deformation theory (FSDT), Hamilton's principle and energy method. Besides, In order to solve motion equations and analyze dynamic instability region (DIR) of the structure, mixed model of differential quadrature method (DQM) and Bolotin's method is used. Moreover, investigation of the different parameters effects such as geometrical parameters and volume fraction of CNTs on the analysis of the DIR of the structure is done. In accordance with the obtained results, the DIR will occur at higher frequencies by increasing the volume fraction of CNTs.

Free vibration analysis of a piezoelectric nanobeam using nonlocal elasticity theory

  • Kaghazian, Abbas;Hajnayeb, Ali;Foruzande, Hamidreza
    • Structural Engineering and Mechanics
    • /
    • v.61 no.5
    • /
    • pp.617-624
    • /
    • 2017
  • Piezoelectric nanobeams are used in several nano electromechanical systems. The first step in designing these systems is conducting a vibration analysis. In this research, the free vibration of a piezoelectric nanobeam is analyzed by using the nonlocal elasticity theory. The nanobeam is modeled based on Euler-Bernoulli beam theory. Hamilton's principle is used to derive the equations of motion and also the boundary conditions of the system. The obtained equations of motion are solved by using both Galerkin and the Differential Quadrature (DQ) methods. The clamped-clamped and cantilever boundary conditions are analyzed and the effects of the applied voltage and nonlocal parameter on the natural frequencies and mode shapes are studied. The results show the success of Galerkin method in determining the natural frequencies. The results also show the influence of the nonlocal parameter on the natural frequencies. Increasing a positive voltage decreases the natural frequencies, while increasing a negative voltage increases them. It is also concluded that for the clamped parts of the beam and also other parts that encounter higher values of stress during free vibrations of the beam, anti-nodes in voltage mode shapes are observed. On the contrary, in the parts of the beam that the values of the induced stress are low, the values of the amplitude of the voltage mode shape are not significant. The obtained results and especially the mode shapes can be used in future studies on the forced vibrations of piezoelectric nanobeams based on Galerkin method.