• Title/Summary/Keyword: Plane convergence

Search Result 317, Processing Time 0.025 seconds

Stresses around an underground opening with sharp corners due to non-symmetrical surface load

  • Karinski, Y.S.;Yankelevsky, D.Z.;Antes, M.Y.
    • Structural Engineering and Mechanics
    • /
    • v.31 no.6
    • /
    • pp.679-696
    • /
    • 2009
  • The paper aims at analyzing the stress distribution around an underground opening that is subjected to non-symmetrical surface loading with emphasis on opening shapes with sharp corners and the stress concentrations developed at these locations. The analysis is performed utilizing the BIE method coupled with the Neumann's series. In order to implement this approach, the special recurrent relations for half plane were proven and the modified Shanks transform was incorporated to accelerate the series convergence. To demonstrate the capability of the developed approach, a horseshoe shape opening with sharp corners was investigated and the location and magnitude of the maximum hoop stress was calculated. The dependence of the maximum hoop stress location on the parameters of the surface loading (degree of asymmetry, size of loaded area) and of the opening (the opening height) was studied. It was found that the absolute magnitude of the maximum hoop stress (for all possible surface loading locations) is developed at the roof points when the opening height/width ratio is relatively large or when the pressure loading area is relatively narrow (compared to the roof arch radius), and contrarily, when the opening height/width ratio is relatively small or when the surface pressure is applied to a relatively wide area, the absolute magnitude of the maximum hoop stress is developed at the bottom sharp corner points.

Design of a Polygon Slot Antenna with a Polygon Tuning Stub for Ultra-Wideband Applications

  • Lee, Ju Ho;Choi, Young Gyu;Yoon, Joong Han
    • Journal of information and communication convergence engineering
    • /
    • v.15 no.1
    • /
    • pp.1-6
    • /
    • 2017
  • In this study, we develop and experimentally evaluate an ultra-wideband (UWB) slot antenna with a polygon tuning stub. The proposed antenna consists of a polygon slot with a $50-{\Omega}$ feed line. The effects of various parameters of the polygon-shaped slot and the polygon tuning stub on UWB applications are investigated. The optimum parameters were obtained using the Ansys HFSS software. The results of the studies on the surface current distributions of the operating frequency bands were discussed. The proposed antenna is fabricated on an inexpensive FR-4 substrate with the overall dimensions of $28.0mm{\times}30.0mm$. The measured results confirm that the proposed antenna covers frequencies from 2.58 GHz to 13.27 GHz, which is the UWB frequency range. Further, the proposed UWB antenna also exhibited that omni-directionality in the H-plane gain varied from 1.185 to 7.246 dBi. The good antenna characteristics of the proposed antenna make it suitable for UWB system applications.

The development of mongrel singular element with J-integral and the toughness test for Al 7075-T6 wing spar (J적분을 첨가한 mongrel 특이요소 개발 및 Al 7075-T6 wing spar파괴인성 실험)

  • 강치행
    • Journal of the Korea Institute of Military Science and Technology
    • /
    • v.1 no.1
    • /
    • pp.154-165
    • /
    • 1998
  • In this paper, the mongrel singular element with 6 node triangle and 8 node quadrilateral element with J-integral are developed and applied to the various plane crack problems for the isotropic material. The convergence nature is excellent for various crack size with even coarse mesh using the direct method. But the results of the mongrel element with J-integral are worse than the former's ones. Fracture tests were conducted on precracked CT specimens. Results show that, for 7075-T6 aluminum wing spar materials, the fracture toughness is 31.06 ksi.inch $\frac{1}{2}$ in the L-T direction.

  • PDF

Free vibration analysis of bidirectional functionally graded annular plates resting on elastic foundations using differential quadrature method

  • Tahouneh, Vahid
    • Structural Engineering and Mechanics
    • /
    • v.52 no.4
    • /
    • pp.663-686
    • /
    • 2014
  • This paper deals with free vibration analysis of bidirectional functionally graded annular plates resting on a two-parameter elastic foundation. The formulations are based on the three-dimensional elasticity theory. This study presents a novel 2-D six-parameter power-law distribution for ceramic volume fraction of 2-D functionally graded materials that gives designers a powerful tool for flexible designing of structures under multi-functional requirements. Various material profiles along the thickness and in the in-plane directions are illustrated by using the 2-D power-law distribution. The effective material properties at a point are determined in terms of the local volume fractions and the material properties by the Mori-Tanaka scheme. The 2-D differential quadrature method as an efficient and accurate numerical tool is used to discretize the governing equations and to implement the boundary conditions. The fast rate of convergence of the method is shown and the results are compared against existing results in literature. Some new results for natural frequencies of the plates are prepared, which include the effects of elastic coefficients of foundation, boundary conditions, material and geometrical parameters. The interesting results indicate that a graded ceramic volume fraction in two directions has a higher capability to reduce the natural frequency than conventional 1-D functionally graded materials.

Design Improvement of the Smith Machine using Simulation on Musculoskeletal Model

  • Kim, Taewoo;Lee, Kunwoo;Kwon, Junghoon
    • International Journal of CAD/CAM
    • /
    • v.12 no.1
    • /
    • pp.1-8
    • /
    • 2012
  • This study analyzes the characteristics of two different kinds of squat exercise through physical experiments and a computer simulation, i.e. one with a free weight and the other with a Smith machine are studied. This study also proposes a new design for the Smith machine, which has both the advantages of each type based on the results of the analysis. The muscle force and level of stimulation of the lower extremities during squatting were calculated by running an inverse dynamics analysis program on a musculoskeletal model together with the measured motion data. The calculated results were verified by comparing with the measured EMG data. The analysis showed that squatting using free weight is more effective than squatting using the Smith machine. Meanwhile, in order to design an improved Smith machine, which is the final goal of this study, the trajectory of the barbell of the subjects during free weight squatting was measured on the sagittal plane. The measurement showed that the average slope of the trajectory of the barbell is tilted backward by $10.7^{\circ}$. Based on this measurement, this study proposes a tilted design for an improved Smith machine.

Dynamic Stabilization for a Nonlinear System with Uncontrollable Unstable Linearization (제어불가능 불안정 선형화를 가지는 비선형 시스템에 대한 다이나믹 안정화)

  • Seo, Sang-Bo;Shim, Hyung-Bo;Seo, Jin-Heon
    • Journal of the Institute of Electronics Engineers of Korea SC
    • /
    • v.46 no.4
    • /
    • pp.1-6
    • /
    • 2009
  • In this paper, we design a dynamic state feedback smooth stabilizer for a nonlinear system whose Jacobian linearization may have uncontrollable mode because its eigenvalues are on the right half-plane. After designing an augmented system, a dynamic exponent scaling and backstepping enable one to explicitly design a smooth stabilizer and a continuously differentiable Lyapunov function which is positive definite and proper. The convergence of the designed controller is proved by the new notion 'degree indicator'.

Static analysis of non-uniform heterogeneous circular plate with porous material resting on a gradient hybrid foundation involving friction force

  • Rad, A. Behravan;Farzan-Rad, M.R.;Majd, K. Mohammadi
    • Structural Engineering and Mechanics
    • /
    • v.64 no.5
    • /
    • pp.591-610
    • /
    • 2017
  • This paper is concerned with the static analysis of variable thickness of two directional functionally graded porous materials (FGPM) circular plate resting on a gradient hybrid foundation (Horvath-Colasanti type) with friction force and subjected to compound mechanical loads (e.g., transverse, in-plane shear traction and concentrated force at the center of the plate).The governing state equations are derived in terms of displacements based on the 3D theory of elasticity, assuming the elastic coefficients of the plate material except the Poisson's ratio varying continuously throughout the thickness and radial directions according to an exponential function. These equations are solved semi-analytically by employing the state space method (SSM) and one-dimensional differential quadrature (DQ) rule to obtain the displacements and stress components of the FGPM plate. The effect of concentrated force at the center of the plate is approximated with the shear force, uniformly distributed over the inner boundary of a FGPM annular plate. In addition to verification study and convergence analysis, numerical results are displayed to show the effect of material heterogeneity indices, foundation stiffness coefficients, foundation gradient indices, loads ratio, thickness to radius ratio, compressibility, porosity and friction coefficient of the foundation on the static behavior of the plate. Finally, the responses of FG and FG porous material circular plates to compound mechanical loads are compared.

Improved 3D Resolution Analysis of N-Ocular Imaging Systems with the Defocusing Effect of an Imaging Lens

  • Lee, Min-Chul;Inoue, Kotaro;Cho, Myungjin
    • Journal of information and communication convergence engineering
    • /
    • v.13 no.4
    • /
    • pp.270-274
    • /
    • 2015
  • In this paper, we propose an improved framework to analyze an N-ocular imaging system under fixed constrained resources such as the number of image sensors, the pixel size of image sensors, the distance between adjacent image sensors, the focal length of image sensors, and field of view of image sensors. This proposed framework takes into consideration, for the first time, the defocusing effect of the imaging lenses according to the object distance. Based on the proposed framework, the N-ocular imaging system such as integral imaging is analyzed in terms of depth resolution using two-point-source resolution analysis. By taking into consideration the defocusing effect of the imaging lenses using ray projection model, it is shown that an improved depth resolution can be obtained near the central depth plane as the number of cameras increases. To validate the proposed framework, Monte Carlo simulations are carried out and the results are analyzed.

Depth Extraction of Partially Occluded 3D Objects Using Axially Distributed Stereo Image Sensing

  • Lee, Min-Chul;Inoue, Kotaro;Konishi, Naoki;Lee, Joon-Jae
    • Journal of information and communication convergence engineering
    • /
    • v.13 no.4
    • /
    • pp.275-279
    • /
    • 2015
  • There are several methods to record three dimensional (3D) information of objects such as lens array based integral imaging, synthetic aperture integral imaging (SAII), computer synthesized integral imaging (CSII), axially distributed image sensing (ADS), and axially distributed stereo image sensing (ADSS). ADSS method is capable of recording partially occluded 3D objects and reconstructing high-resolution slice plane images. In this paper, we present a computational method for depth extraction of partially occluded 3D objects using ADSS. In the proposed method, the high resolution elemental stereo image pairs are recorded by simply moving the stereo camera along the optical axis and the recorded elemental image pairs are used to reconstruct 3D slice images using the computational reconstruction algorithm. To extract depth information of partially occluded 3D object, we utilize the edge enhancement and simple block matching algorithm between two reconstructed slice image pair. To demonstrate the proposed method, we carry out the preliminary experiments and the results are presented.

Dynamic stiffness based computation of response for framed machine foundations

  • Lakshmanan, N.;Gopalakrishnan, N.;Rama Rao, G.V.;Sathish kumar, K.
    • Geomechanics and Engineering
    • /
    • v.1 no.2
    • /
    • pp.121-142
    • /
    • 2009
  • The paper deals with the applications of spectral finite element method to the dynamic analysis of framed foundations supporting high speed machines. Comparative performance of approximate dynamic stiffness methods formulated using static stiffness and lumped or consistent or average mass matrices with the exact spectral finite element for a three dimensional Euler-Bernoulli beam element is presented. The convergence of response computed using mode superposition method with the appropriate dynamic stiffness method as the number of modes increase is illustrated. Frequency proportional discretisation level required for mode superposition and approximate dynamic stiffness methods is outlined. It is reiterated that the results of exact dynamic stiffness method are invariant with reference to the discretisation level. The Eigen-frequencies of the system are evaluated using William-Wittrick algorithm and Sturm number generation in the $LDL^T$ decomposition of the real part of the dynamic stiffness matrix, as they cannot be explicitly evaluated. Major's method for dynamic analysis of machine supporting structures is modified and the plane frames are replaced with springs of exact dynamic stiffness and dynamically flexible longitudinal frames. Results of the analysis are compared with exact values. The possible simplifications that could be introduced for a typical machine induced excitation on a framed structure are illustrated and the developed program is modified to account for dynamic constraint equations with a master slave degree of freedom (DOF) option.