• Title/Summary/Keyword: 7 degrees of freedom

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COMPUTATIONS OF A NATURAL CONVECTION FLOW USING HERMITE FINITE ELEMENTS (Hermite 유한요소에 의한 자연대류 유동계산)

  • Kim, J.W.
    • 한국전산유체공학회:학술대회논문집
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    • 2007.10a
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    • pp.220-225
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    • 2007
  • This paper is a continuation of the recent development on the hermite-based divergence free basis function and deals with a non-isothermal fluid flow thru the buoyancy driven flow in a square cavity with temperature difference across the two sides. The basis functions for the velocities consist of the hermite function and its curl. However, the basis for the temperature are the hermite function and its gradienst. Hence, the number of degrees of freedom at a node becomes 6, which are the stream function, two velocities, the temperature and its x- and y-derivatives. Numerical results for the streamlines, the temperatures, the x-velocities and the y-velocities show good agreements with those of De vahl Davis[7].

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Finite element dynamic analysis of laminated composite beams under moving loads

  • Kahya, Volkan
    • Structural Engineering and Mechanics
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    • v.42 no.5
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    • pp.729-745
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    • 2012
  • This study presents dynamic analysis of laminated beams traversed by moving loads using a multilayered beam element based on the first-order shear deformation theory. The present element consists of N layers with different thickness and material property, and has (3N + 7) degrees of freedom corresponding three axial, four transversal, and 3N rotational displacements. Delamination and interfacial slip are not allowed. Comparisons with analytical and/or numerical results available in literature for some illustrative examples are made. Numerical results for natural frequencies, deflections and stresses of laminated beams are given to explain the effect of load speed, lamina layup, and boundary conditions.

A Study on a Modal Parameter Estimation Algorithm (모우드 파라미터 산출 알고리즘에 관한 연구)

  • Hwang, Won-Gul;Kee, Chang-Doo;Kim, Jong-Yeop
    • Journal of the Korean Society for Precision Engineering
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    • v.7 no.3
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    • pp.48-55
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    • 1990
  • A new curve fitting algorithm based on modal analysis is introduced for extracting the modal parameters from the measured frequency responses. To compensate the effect of cut-off frequency ranges the transfer function including residual mass and residual flexibility is employed. Model parameters are computed from the newly defined form of transfer function in a simple way. The accuracy of this algorithm is proved by applying to the 3 degrees of freedom model and vibration of cantilever beam.

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Spectral Element Analysis of an Axially Moving Thermoelastic Beam (축 방향으로 이동하는 열 탄성 보의 스펙트럴요소해석)

  • 김도연;권경수;이우식
    • Journal of the Korean Society for Railway
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    • v.7 no.3
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    • pp.239-244
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    • 2004
  • The use of frequency-dependent spectral element matrix (or exact dynamic stiffness matrix) in structural dynamics may provide very accurate solutions, together with drastically reducing the number of degrees of freedom to improve the computation efficiency and cost problems. Thus, this paper develops a spectral element model for the coupled thermoelastic beam which axially moves with constant speed under a uniform tension. The accuracy of the spectral element model is then evaluated by comparing the natural frequencies obtained by the present element model with those obtained by the conventional finite element model.

Sensory Evaluation of Friction and Viscosity Rendering with a Wearable 4 Degrees of Freedom Force Feedback Device Composed of Pneumatic Artificial Muscles and Magnetorheological Fluid Clutches

  • Okui, Manabu;Tanaka, Toshinari;Onozuka, Yuki;Nakamura, Taro
    • Journal of Drive and Control
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    • v.18 no.4
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    • pp.77-83
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    • 2021
  • With the progress in virtual reality technology, various virtual objects can be displayed using head-mounted displays (HMD). However, force feedback sensations such as pushing against a virtual object are not possible with an HMD only. Focusing on force feedback, desktop-type devices are generally used, but the user cannot move in a virtual space because such devices are fixed on a desk. With a wearable force feedback device, users can move around while experiencing force feedback. Therefore, the authors have developed a wearable force feedback device using a magnetorheological fluid clutch and pneumatic rubber artificial muscle, aiming at presenting the elasticity, friction, and viscosity of an object. To date, we have developed a wearable four-degree-of-freedom (4-DOF) force feedback device and have quantitatively evaluated that it can present commanded elastic, frictional, and viscous forces to the end effector. However, sensory evaluation with a human has not been performed. In this paper, therefore, we conduct a sensory evaluation of the proposed method. In the experiment, frictional and viscous forces are rendered in a virtual space using a 4-DOF force feedback device. Subjects are asked to answer questions on a 1- to 7-point scale, from 1 (not at all) to 4 (neither) to 7 (strongly). The Wilcoxon signed rank test was used for all data, and answer 4 (neither) was used as compared standard data. The experimental results confirmed that the user could feel the presence or absence of viscous and frictional forces. However, the magnitude of those forces was not sensed correctly.

Fluid-structure interaction system predicting both internal pore pressure and outside hydrodynamic pressure

  • Hadzalic, Emina;Ibrahimbegovic, Adnan;Dolarevic, Samir
    • Coupled systems mechanics
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    • v.7 no.6
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    • pp.649-668
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    • 2018
  • In this paper, we present a numerical model for fluid-structure interaction between structure built of porous media and acoustic fluid, which provides both pore pressure inside porous media and hydrodynamic pressures and hydrodynamic forces exerted on the upstream face of the structure in an unified manner and simplifies fluid-structure interaction problems. The first original feature of the proposed model concerns the structure built of saturated porous medium whose response is obtained with coupled discrete beam lattice model, which is based on Voronoi cell representation with cohesive links as linear elastic Timoshenko beam finite elements. The motion of the pore fluid is governed by Darcy's law, and the coupling between the solid phase and the pore fluid is introduced in the model through Biot's porous media theory. The pore pressure field is discretized with CST (Constant Strain Triangle) finite elements, which coincide with Delaunay triangles. By exploiting Hammer quadrature rule for numerical integration on CST elements, and duality property between Voronoi diagram and Delaunay triangulation, the numerical implementation of the coupling results with an additional pore pressure degree of freedom placed at each node of a Timoshenko beam finite element. The second original point of the model concerns the motion of the outside fluid which is modeled with mixed displacement/pressure based formulation. The chosen finite element representations of the structure response and the outside fluid motion ensures for the structure and fluid finite elements to be connected directly at the common nodes at the fluid-structure interface, because they share both the displacement and the pressure degrees of freedom. Numerical simulations presented in this paper show an excellent agreement between the numerically obtained results and the analytical solutions.

Behavior of Horizontally Curved I-Girder Bridges under Seismic Loading (지진하중하에서의 수평곡선I형교의 거동특성)

  • Yoon, Ki Yong;Sung, Ik Hyun;Choi, Jin Yu;Kang, Young Jong
    • Journal of Korean Society of Steel Construction
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    • v.14 no.6
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    • pp.793-802
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    • 2002
  • This study presented a finite element formulation for the dynamic analysis of horizontally curved I-girder bridges. The stiffness and mass matrices of the curved and the straight beam elements are formulated. Each node of both elements has seven degrees of freedom, including the warping degree of freedom. The curved beam element is derived from Kang and Yoo's theory of thin-walled curved beams. The computer program EQCVB has been developed to perform dynamic analyses of various horizontally curved I-girder bridges. The Gupta method is used to solve the eigenvalue problem efficiently, while the Wilson-${\theta}$ method is used for the seismic analysis. The efficiency of EQCVB is demonstrated by comparing solution time with ABAQUS. Using EQCVB, the study is applied to investigate the dynamic behavior of horizontally curved I-girder bridges under seismic loading.

Three-key Triple Data Encryption Algorithm of a Cryptosystem Based on Phase-shifting Interferometry

  • Seok Hee Jeon;Sang Keun Gil
    • Current Optics and Photonics
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    • v.7 no.6
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    • pp.673-682
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    • 2023
  • In this paper, a three-key triple data encryption algorithm (TDEA) of a digital cryptosystem based on phase-shifting interferometry is proposed. The encryption for plaintext and the decryption for the ciphertext of a complex digital hologram are performed by three independent keys called a wavelength key k1(λ), a reference distance key k2(dr) and a holographic encryption key k3(x, y), which are represented in the reference beam path of phase-shifting interferometry. The results of numerical simulations show that the minimum wavelength spacing between the neighboring independent wavelength keys is about δλ = 0.007 nm, and the minimum distance between the neighboring reference distance keys is about δdr = 50 nm. For the proposed three-key TDEA, choosing the deviation of the key k1(λ) as δλ = 0.4 nm and the deviation of the key k2(dr) as δdr = 500 nm allows the number of independent keys k1(λ) and k2(dr) to be calculated as N(k1) = 80 for a range of 1,530-1,562 nm and N(dr) = 20,000 for a range of 35-45 mm, respectively. The proposed method provides the feasibility of independent keys with many degrees of freedom, and then these flexible independent keys can provide the cryptosystem with very high security.

Theoretical Study of the Hydration Effects on the Conformation of N-pivaloyl-L-prolyl-N-methyl-N'-isopropyl-L-alaninamide

  • Choe, Sang-Joon;Kim, Un-Sik;Kang, Young-Kee;Jhon, Mu-Shik
    • Bulletin of the Korean Chemical Society
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    • v.5 no.1
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    • pp.27-32
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    • 1984
  • To investigate the hydration effects on the conformational changes of N-pivaloly-L-prolyl-N-methyl-N'-isopropyl-L-alanin amide (PPMIA), the conformational free energy changes have been calculated by using an empirical potential function varying all the independent degrees of freedom of PPMIA backbones. It is found that cis conformers are folded by a strong intramolecular hydrogen bond involving both terminal CO and NH groups whereas trans conformers accommodate the open conformation. Conformers in the free state are proved to be less stable than in the hydrated state. The free energy changes of cis and trans PPMIA due to the hydration are -50.5 and -39.8 kcal/mole, their conformational energy changes are -52.3 and -41.0 kcal/mole, and their conformational entropy changes are -5.9 and -4.0 e.u., respectively. The free energy changes of cis PPMIA to trans PPMIA in the free and hydrated states are 5.3 and 16.0 kcal/mole, their conformational energy changes are 7.6 and 18.8 kcal/mole, and the entropy changes due to the conformational transitions correspond to 7.5 and 9.4 e.u., respectively. From these results, it is found that the bound water molecules play an important role in stabilizing the conformation of PPMIA.

Empirical Analysis on Rao-Scott First Order Adjustment for Two Population Homogeneity test Based on Stratified Three-Stage Cluster Sampling with PPS

  • Heo, Sunyeong
    • Journal of Integrative Natural Science
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    • v.7 no.3
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    • pp.208-213
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    • 2014
  • National-wide and/or large scale sample surveys generally use complex sample design. Traditional Pearson chi-square test is not appropriate for the categorical complex sample data. Rao-Scott suggested an adjustment method for Pearson chi-square test, which uses the average of eigenvalues of design matrix of cell probabilities. This study is to compare the efficiency of Rao-Scott first order adjusted test to Wald test for homogeneity between two populations using 2009 Gyeongnam regional education offices's customer satisfaction survey (2009 GREOCSS) data. The 2009 GREOCSS data were collected based on stratified three-stage cluster sampling with probability proportional to size. The empirical results show that the Rao-Scott adjusted test statistic using only the variances of cell probabilities is very close to the Wald test statistic, which uses the covariance matrix of cell probabilities, under the 2009 GREOCSS data based. However it is necessary to be cautious to use the Rao-Scott first order adjusted test statistic in the place of Wald test because its efficiency is decreasing as the relative variance of eigenvalues of the design matrix of cell probabilities is increasing, specially more when the number of degrees of freedom is small.