• Title/Summary/Keyword: method of fundamental solution

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Optimal design of truss structures using a new optimization algorithm based on global sensitivity analysis

  • Kaveh, A.;Mahdavi, V.R.
    • Structural Engineering and Mechanics
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    • v.60 no.6
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    • pp.1093-1117
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    • 2016
  • Global sensitivity analysis (GSA) has been widely used to investigate the sensitivity of the model output with respect to its input parameters. In this paper a new single-solution search optimization algorithm is developed based on the GSA, and applied to the size optimization of truss structures. In this method the search space of the optimization is determined using the sensitivity indicator of variables. Unlike the common meta-heuristic algorithms, where all the variables are simultaneously changed in the optimization process, in this approach the sensitive variables of solution are iteratively changed more rapidly than the less sensitive ones in the search space. Comparisons of the present results with those of some previous population-based meta-heuristic algorithms demonstrate its capability, especially for decreasing the number of fitness functions evaluations, in solving the presented benchmark problems.

An approximate analytical solution for the initial transient process of close-contact melting on an isothermal surface (등온가열에 의한 접촉융해의 초기 과도과정에 대한 근사적 해석해)

  • Yu, Ho-Seon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.12
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    • pp.1710-1719
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    • 1997
  • An approximate analytical solution for the initial transient process of close-contact melting occurring between a phase change material kept at its melting temperature and an isothermally heated flat surface is derived. The model is so developed that it can cover both rectangular and circular cross-sectional solid blocks. Normalization of simplified model equations in reference to the steady solution enables the solution to be expressed in a generalized form depending on the liquid-to-solid density ratio only. A selected result shows an excellent agreement with the previously reported numerical data, which justifies the present approach. The solution appears to be capable of describing all the fundamental characteristics of the transient process. In particular, dependence of the solid descending velocity oft the density ratio at the early stage of melting is successfully resolved. The effects of other parameters except the density ratio on the transient behaviors are efficiently represented via the steady solution implied in the normalized result. A simple approximate method for estimating the effect of convection on heat transfer across the liquid film is also proposed.

Improving Low Frequency Signal Reproduction in TV Audio (TV 스피커의 저주파수 신호 재생 개선)

  • Arora Manish;Oh Yoonhark;Kim SeoungHun;Lee Hyuckjae;Jang Seongcheol
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.275-278
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    • 2004
  • In TV sound system, loudspeakers are subject to severe size constraints. The small size of the transducer affects the low frequency signal performance of the system. Bass signal performance contributes significantly to the user perceived sound quality and a good bass signal reproduction is essential. Increasing the sound energy in the bass signal range is an unviable solution since the gain required are exceedingly high and signal distortion occurs because of the speaker overload. Recently methods are being proposed to invoke low frequency illusion using psychoacoustic phenomena of the missing fundamental. This paper proposes a simple and effective signal processing method to create bass signal illusion in TV speakers using the missing fundamental effect, at a complexity of 12 MIPS on Motorola 56371 audio DSP.

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WEAK SOLUTIONS OF THE EQUATION OF MOTION OF MEMBRANE WITH STRONG VISCOSITY

  • Hwang, Jin-Soo;Nakagiri, Shin-Ichi
    • Journal of the Korean Mathematical Society
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    • v.44 no.2
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    • pp.443-453
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    • 2007
  • We study the equation of a membrane with strong viscosity. Based on the variational formulation corresponding to the suitable function space setting, we have proved the fundamental results on existence, uniqueness and continuous dependence on data of weak solutions.

EVALUATION OF NON-INVASIVE BLOOD GLUCOSE MEASUREMENT USING THREE TYPES OF NEAR INFRARED SPECTROMETER

  • Baek, Ju-Hyun;Kang, Na-Roo;Woo, Young-Ah;Kim, Hyo-Jin
    • Proceedings of the PSK Conference
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    • 2003.04a
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    • pp.289.1-289.1
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    • 2003
  • Three types of near infrared spectrometer, a photo diode array type, a dispersive type and a FT type, were evaluated and compared the systematic difference in blood glucose measurement. The fundamental study was performed by adding glucose to buffer solution and bovine blood as the preceding study of non-invasive blood glucose. Spectra were collected using a 1.0 mm optical pathlength quartz cell by transmittance method. (omitted)

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Free vibration of primary-secondary structures with multiple connections (다중 지지된 주-부 구조물의 자유진동)

  • 민경원
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1991.10a
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    • pp.63-68
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    • 1991
  • The frequency window method has been extended to include strong coupling and multiple connections between the primary structure and the secondary structures. The rational polynomial expansion of the eigenvalue problem and the analytical methods for its solution are novel and distinguish this work from other eigenvalue analysis methods. The key results are the identification of parameters which quantify the resonance and coupling characteristics; the derivation of analytical dosed-form expressions describing the fundamental modal properties of the frequency windows; and the development of an iterative procedure which yields accurate convergent results for strongly-coupled primary-secondary structures.

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APPROXIMATE PROJECTION ALGORITHMS FOR SOLVING EQUILIBRIUM AND MULTIVALUED VARIATIONAL INEQUALITY PROBLEMS IN HILBERT SPACE

  • Khoa, Nguyen Minh;Thang, Tran Van
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.4
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    • pp.1019-1044
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    • 2022
  • In this paper, we propose new algorithms for solving equilibrium and multivalued variational inequality problems in a real Hilbert space. The first algorithm for equilibrium problems uses only one approximate projection at each iteration to generate an iteration sequence converging strongly to a solution of the problem underlining the bifunction is pseudomonotone. On the basis of the proposed algorithm for the equilibrium problems, we introduce a new algorithm for solving multivalued variational inequality problems. Some fundamental experiments are given to illustrate our algorithms as well as to compare them with other algorithms.

A study on the improvement of the local stress field in a displacement-formulated finite element solution (변위형 유한요소 해에서 국부응력장 향상에 대한 연구)

  • Song, Kee-Nam
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.2
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    • pp.278-288
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    • 1998
  • An efficient and useful method to improve the local stress field in a displacement-formulated finite element solution has been proposed using the theory of conjugate approximations for a stress field and the Loubignac's iterative method for a displacement field. Validity of the proposed method has been tested through three test examples, to improve the stress field and displacement field in the whole domain and the local regions. As a result of analysis on the test examples, it is found that the stress field in the local regions are approximated to those in the whole domain within a few iterations which have satisfied the original finite element equilibrium equation. In addition, it is found that the local stress field are by far better approximated to the exact stress field than the displacement-based stress field with the reduction of the finite-element mesh-size.

A Second-Order Adiabatic Analysis Method of Stirling Engines Based on the Approximate Analytical Solution (해석적 근사해에 근거한 스터링기관의 2차단열해석법)

  • 유호선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.4
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    • pp.787-794
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    • 1992
  • To predict performances of Stirling Engines, a second-order analysis method has been developed. The present method which is based on the approximate analytical solution to the Ideal Adiabatic Model includes major loss mechanisms due to finite heat transfer and flow friction. Comparison of calculated results with previously reported study for a specific engine shows reasonable agreements and a possibility of being used for basic designs. Also, predicted performances with repect to engine speeds are consistent with experimental data in trend. To improve the prediction capability of this method, it is needed that not only additional losses should be taken into account, but also fundamental characteristics of oscillating flow and heat transfer should be better understood.

Steady-State Solution for Forced Nonlinear Vibrations by the Formulation of Two-Point Boundary-Value Problem (兩점 境界値 問題設置 에 의한 非線型 强制振動 의 定常解)

  • 김옥현;이병호;정상해
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.7 no.1
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    • pp.11-18
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    • 1983
  • For the steady-state solutions of vibratory systems where the dynamics involves nonlinearity and discontinuity, a method of numerical simulation has been normally used. This paper presents a new approach which may overcome some difficulties in the simulation method. This approach is based on the fundamental assumption that the steady-state forced vibration is periodic, so that the problem is formulated as a two-point boundary-value problem and can be solved by Waner's algorithm. This method is demonstrated through the solutions of a linear system, a system with Coulomb friction and an impact pair. It is found that the method gives true solutions well both for linear and nonlinear systems, which convinces us of the usefulness of the method.