• Title/Summary/Keyword: asymptotic two-scale method

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Negative Drift Forces Acting on a 2-Dimensional Cylinder inSlightly Modulated Waves (유한수심의 불규칙파에 놓인 2차원 주상체에 작용하는 음의 표류력)

  • Hang-S.,Choi
    • Bulletin of the Society of Naval Architects of Korea
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    • v.24 no.4
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    • pp.1-8
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    • 1987
  • In this paper negative drift forces are discussed, which act on a two-dimensional cylinder exposed to slightly modulated waves in water of finite depth. By combining matched asymptotic expansion method with multiple scale technique, it is clearly shown that the slowly-varying drift force can be negative under certain circumstances: i) Incident waves are irregular or slightly modulated. ii) The water depth is finite compared to the wave length of carrier waves. iii) The gap between the keel of the cylinder and ocean floor is narrow. Then the negative drift forces are caused by the unbalance of hydrostatic force associated with set down. Real fluid and wave breaking effects are not considered.

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A Study on a New Approach to Robust Control and Torque Control Response Analysis of Manufacturing robot Based on Monitoring Simulator for Smart Factory

  • Kim, Hee-Jin;Kim, Dong-Ho;Jang, Gi-Won;Gu, Byeong-Hwa;Han, Sung-Hyun
    • Journal of the Korean Society of Industry Convergence
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    • v.24 no.4_1
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    • pp.397-409
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    • 2021
  • This study proposes a new approach to implimentation of robust control and torque control response analysis based on monitoring simulator for smart factory. According to the physical properties of a flexible manipulator, a two time-scale approach, namely, singular perturbation ap proach, is further utilized for thorough analysis and general controller design. It is shown that asymptotic motional tracking can be effectively achieved, whereas the force regulation errors can be made arbitrarily small. For demonstration of the proposed technology performance, experiments of a eight joint flexible manipulator are performed for the proposed control method, and the reliability of proposed control results are illustrated based on monitoring simulator.

Nonlinear thermal buckling of bi-directional functionally graded nanobeams

  • Gao, Yang;Xiao, Wan-shen;Zhu, Haiping
    • Structural Engineering and Mechanics
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    • v.71 no.6
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    • pp.669-682
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    • 2019
  • We in this article study nonlinear thermal buckling of bi-directional functionally graded beams in the theoretical frameworks of nonlocal strain graded theory. To begin with, it is assumed that the effective material properties of beams vary continuously in both the thickness and width directions. Then, we utilize a higher-order shear deformation theory that includes a physical neutral surface to derive the size-dependent governing equations combining with the Hamilton's principle and the von $K{\acute{a}}rm{\acute{a}}n$ geometric nonlinearity. It should be pointed out that the established model, containing a nonlocal parameter and a strain gradient length scale parameter, can availably account for both the influence of nonlocal elastic stress field and the influence of strain gradient stress field. Subsequently, via using a easier group of initial asymptotic solutions, the corresponding analytical solution of thermal buckling of beams is obtained with the help of perturbation method. Finally, a parametric study is carried out in detail after validating the present analysis, especially for the effects of a nonlocal parameter, a strain gradient length scale parameter and the ratio of the two on the critical thermal buckling temperature of beams.