• Title/Summary/Keyword: Complex method

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An Alternative Complex Variable Method in Plane Elasticity

  • Yun, Beong In
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.1 no.1
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    • pp.65-74
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    • 1997
  • For two dimensional elasticity, we suggest a new complex variable method using the Navier's displacement equation. This method gives alternative displacement and stress formulae to those resulting from the Muskhelishvili's complex function method.

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CCQC modal combination rule using load-dependent Ritz vectors

  • Xiangxiu Li;Huating Chen
    • Structural Engineering and Mechanics
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    • v.87 no.1
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    • pp.57-68
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    • 2023
  • Response spectrum method is still an effective approach for the design of buildings with supplemental dampers. In practice, complex complete quadratic combination (CCQC) rule is always used in the response spectrum method to consider the effect of non-classical damping. The conventional CCQC rule is based on exact complex mode vectors. Sometimes the calculated complex mode vectors may be not excited by the external loading and errors in the structural responses always arise due to the mode truncation. Load-dependent Ritz (LDR) vectors are associated with the external loading and LDR vectors not excited can be automatically excluded. Also, contributions of higher modes are implicitly contained in the LDR vectors in terms of static responses. To improve the calculation efficiency and accuracy, LDR vectors are introduced in the CCQC rule in the present study. Firstly, the generation procedure of LDR vectors suitable for non-classical damping system is presented. Compared to the conventional LDR vectors, the LDR vectors herein are complex-valued and named as complex LDR (CLDR) vectors. Based on the CLDR vectors, the CCQC rule is then rederived and an improved response spectrum method is developed. Finally, the effectiveness of the proposed method in this paper is verified through three typical non-classical damping buildings. Numerical results show that the CLDR vector is superior to the complex mode with the same number in the calculation. Since the generation of CLDR vectors requires less computational cost and storage space, the method proposed in this paper offers an attractive alternative, especially for structures with a large number of degrees of freedom.

Complex modes in damped sandwich beams using beam and elasticity theories

  • Ahmad, Naveed;Kapania, Rakesh K.
    • Advances in aircraft and spacecraft science
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    • v.2 no.1
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    • pp.57-76
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    • 2015
  • We investigated complex damped modes in beams in the presence of a viscoelastic layer sandwiched between two elastic layers. The problem was solved using two approaches, (1) Rayleigh beam theory and analyzed using the Ritz method, and (2) by using 2D plane stress elasticity based finite-element method. The damping in the layers was modeled using the complex modulus. Simply-supported, cantilever, and viscously supported boundary conditions were considered in this study. Simple trigonometric functions were used as admissible functions in the Ritz method. The key idea behind sandwich structure is to increase damping in a beam as affected by the presence of a highly-damped core layer vibrating mainly in shear. Different assumptions are utilized in the literature, to model shear deformation in the core layer. In this manuscript, we used FEM without any kinematic assumptions for the transverse shear in both the core and elastic layers. Moreover, numerical examples were studied, where the base and constraining layers were also damped. The loss factor was calculated by modal strain energy method, and by solving a complex eigenvalue problem. The efficiency of the modal strain energy method was tested for different loss factors in the core layer. Complex mode shapes of the beam were also examined in the study, and a comparison was made between viscoelastically and viscously damped structures. The numerical results were compared with those available in the literature, and the results were found to be satisfactory.

Studies on 1-Isonicotinoyl-2-furfurylidene hydrazine-Cu(II) Complex Compound. (1-Isonicotinoyl-2-furfurylidene Hydrazine-Cu(II) 착화합물에 관한 분석화학적연구)

  • 백남호;최윤수
    • YAKHAK HOEJI
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    • v.9 no.1_2
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    • pp.18-22
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    • 1965
  • A new organic reagent, 1-isonicotinoyl-2-furfurylidene hydrazine was synthesized from isonicotinic acid hydrazide and furfural, gives precipitate with copper(II), mercury(II) and argent(I), whereas, it gives a water soluble yellow complex with iron(III). Copper complex of the reagent is soluble in EtOH MtOH, pyridine, dioxane and dimethylformamide with green yellow coloration. The complex has a maximum absorption at 385 m.$\mu$ and molar ratio of copper; reagent was estimated as 1:1 by continuous variation method, slop method and chelate titration method. Molar extinction coefficient (9600) and apparant formation constant of this complex was spectrophotometrically determined. K=1.7 * $10^{7}$ (Babko's method) K=2.1 * $10^{7}$ (Anderson's method). This reagent reacted with copper so sensitive that it would be available for determination of Cu (II).

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Studies on the Formation of Copper Complex of Sulfa-Drug III. Study on the Sensitivity of Copper Sulfa-Drug Complex on Microorganism. (Sulfa 제-Cu 착화합물의 형성에 관하여 III. Copper Sulfa-drug Complex 의 세균감수성)

  • 이왕규
    • YAKHAK HOEJI
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    • v.9 no.1_2
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    • pp.8-13
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    • 1965
  • The sensitivity on microorganisms of ten sulfa-drugs and their Cu-complexes was observed. Ericsson's disc method and modified tube dilution method were applied. Dimethylformamide was used for solvent of sulfa drugs. In general, original sulfa-drugs showed more sensitive patterns than its Cu-complexes except sulfadimethoxine-Cu complex which showed more sensitive patterns than its original drug with disc method.

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Estimating Potential Value of Proton Accelerator in Korea Using Contingent Valuation Method

  • Jeong, Ki-Ho;Kim, Jun-Yeon
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.2
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    • pp.387-394
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    • 2006
  • In Korea, a proton linear accelerator complex is being built as a part of the 21st Century Frontier Projects. Contingent valuation method (CVM) is a main evaluation method of nonmarket goods for which markets either do not exist at all or do exist only incompletely. This study shows the method can be applied to the benefit assessment of the proton accelerator complex. Using the discrete choice CVM method, this study estimates the willingness-to-pay (WTP) of a would-be user for the proton accelerator complex as 20,133 won per month.

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Prediction of crack trajectory by the boundary element method

  • Bush, M.B.
    • Structural Engineering and Mechanics
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    • v.7 no.6
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    • pp.575-588
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    • 1999
  • A boundary element method is applied to the analysis of crack trajectory in materials with complex microstructure, such as discontinuously reinforced composite materials, and systems subjected to complex loading, such as indentation. The path followed by the crack(s) has non-trivial geometry. A study of the stress intensity factors and fracture toughness of such systems must therefore be accompanied by an analysis of crack trajectory. The simulation is achieved using a dual boundary integral method in planar problems, and a single boundary integral method coupled with substructuring in axisymmetric problems. The direction of crack propagation is determined using the maximum mechanical energy release rate criterion. The method is demonstrated by application to (i) a composite material composed of components having the elastic properties of aluminium (matrix) and silicon carbide (reinforcement), and (ii) analysis of contact damage induced by the action of an indenter on brittle materials. The chief advantage of the method is the ease with which problems having complex geometry or loading (giving rise to complex crack trajectories) can be treated.

A CMOS Complex Filter with a New Automatic Tuning Method for PHS Application (PHS용 Automatic Tuning 방법을 이용한 Complex Filter)

  • Ko, Dong-Hyun;Park, Do-Jin;Jung, Sung-Kyu;Pu, Young-Gun;Lee, Kang-Yoon
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.44 no.10
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    • pp.17-22
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    • 2007
  • This paper presents a baseband complex bandpass filter for PHS applications with a new automatic tuning method. The full-CMOS PHS transceiver is implemented by adopting the Low-IF architecture to overcome the DCoffset problems. To meet the Adjacent Channel Selectivity (ACS) performance, the 3rd-order Chebyshev complex bandpass filter is designed as the baseband channel-select filter. The new corner frequency tuning method is proposed to compensate the process variation. This method can reduce the noise level due to MOS switches. The filter was fabricated using a 0.35{\mu}m$ CMOS process, and the power consumption is 12mW.

Synchronization in Complex Systems

  • Bae, Young-Chul;Kim, Chun-Suk;Koo, Young-Duk
    • Journal of information and communication convergence engineering
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    • v.2 no.4
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    • pp.237-242
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    • 2004
  • In this paper, we introduce a complex systems synchronization method using hyper-chaos circuit consist of State-Controlled Cellular Neural Network (SC-CNN). We make a complex systems using SC-CNN with the n-double scroll. A complex system is created by applying identical n-double scroll or non-identical n-double scroll and Chua's oscillator with weak coupled method to each cell. Complex systems synchronization were achieved using GS(Generalized Synchronization) method between the transmitter and receiver about each state variable in the SC-CNN.

Sensitivity Analysis in the Estimation of Complex Elastic Modulus of Viscoelastic Materials by Transmissibility Measurements (전달율 측정에 의한 점탄성재료의 복소탄성계수 추출시의 민감도 분석)

  • 안태길;허진욱;김광준
    • Journal of KSNVE
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    • v.2 no.2
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    • pp.99-106
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    • 1992
  • The complex Young's modulus of a viscoelastic material can be obtained as a function of frequency from the measurements of relative motion between the two ends of a bar-type specimen. Non-resonance method is usually used to obtain the complex Young's modulus over wide range of frequency including resonance points, while in resonance method information at resonance frequencies only is used. However, the complex Young's modulus obtained by the non-resonance method is often unreliable in the anti-resonance frequency regions because of the measurement noise problems. In this study, the effects of the random measurement errors on estimating the complex Young's modulus are studied in the aspect of sensitivity, and how to obtain the reliable frequency region for a given measurement error level is shown. The usable frequency regions in determining the complex Young's modulus are represented by a non-dimensional parameter formed with the wave length and specimen length.

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