• Title/Summary/Keyword: linearity analysis

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A Comparative Study of a Variable Overlap-area Type and Conventional Types in the Inductive Precision Position Measurement System (자속경로 단면적 및 공극변화를 이용한 인던턴스형 초정밀 변위측정 시스템)

  • Choe, Dong-Jun;Choe, In-Muk;Kim, Su-Hyeon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.2
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    • pp.254-259
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    • 2002
  • A variable air-gap type system is widely used for inductive precision position measurement systems. This type transducer has high sensitivity but lacks a linear measurement range due to structural nonlinearity. Furthermore, as measurement range increases, linearity error is also increased. The alternative is a variable overlap-area type system. The sensitivity of this type is determined by the initial air-gap dimension, keeps the original value and does not deteriorate linearity in spite of the variations of the measuring range.

Development of sensors with mode-selective measuring capability of ultrasonic waves traveling on a cylindrical shaft (축을 따라 전파되는 초음파 모드의 선택적 측정이 가능한 센서 개발)

  • Lee, Ho-Cheol
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.336-339
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    • 2007
  • A sensor having capability to measure two different kinds of ultrasonic waves selectively is described. Under the same bias field configuration, this magnetostrictive type sensor can selectively measure longitudinal waves and flexural ones. Since the switching operation of mode selection is made only by changing the polarity of the permanent magnets used to configure the bias field, it will be very useful after the permanent magnet are interchanged with electromagnets. In order to find the optimal operating bias field, finite elements analysis is used and the condition for flexural wave measurements to meet is found. The linearity of the sensor is verified by experiments and the requirements for linearity also are proposed.

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Frictional Sounds and Its Related Mechanical Properties of Vapor Permeable Water Repellent Fabrics for Active Wear (스포츠웨어용 투습발수직물의 마찰음과 관련 역학적 성질 비교)

  • 조길수;박미란
    • Proceedings of the Korean Society for Emotion and Sensibility Conference
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    • 2003.05a
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    • pp.8-13
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    • 2003
  • Frictional sound of 13 vapor permeable water repellent fabric by sound generator were recorded and analysed through FFT analysis. The frictional Sounds were quantified by calculating total sound pressure(LPT), the level range ΔL and the frequency difference Δf. Mechanical properties were measured by KES-FB. LPT values of specimens finished wet coating were higher than those of dry coating. Values for bending rigidity, shear stiffness, surface roughness and compressional recovery of polyurethane fabrics increased compared with the cire finished fabrics. Laminated fabrics had high values of frictional coefficient and low values of surface roughness. LPT showed significant correlation with compressional energy, weight and thickness. (ΔL) was highly correlated with compressional linearity, frictional coefficient, compressional recovery, and (Δf) with tensile linearity, compressional energy, thickness, and weight.

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Large post-buckling behavior of Timoshenko beams under axial compression loads

  • Akbas, Seref D.
    • Structural Engineering and Mechanics
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    • v.51 no.6
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    • pp.955-971
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    • 2014
  • Large post-buckling behavior of Timoshenko beams subjected to non-follower axial compression loads are studied in this paper by using the total Lagrangian Timoshenko beam element approximation. Two types of support conditions for the beams are considered. In the case of beams subjected to compression loads, load rise causes compressible forces end therefore buckling and post-buckling phenomena occurs. It is known that post-buckling problems are geometrically nonlinear problems. The considered highly non-linear problem is solved considering full geometric non-linearity by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. There is no restriction on the magnitudes of deflections and rotations in contradistinction to von-Karman strain displacement relations of the beam. The beams considered in numerical examples are made of lower-Carbon Steel. In the study, the relationships between deflections, rotational angles, critical buckling loads, post-buckling configuration, Cauchy stress of the beams and load rising are illustrated in detail in post-buckling case.

Non-linear Modelling for the Vibration Analysis of a Rotating Thin Ring (회전하는 얇은 링의 진동해석을 위한 비선형 모델링)

  • 김원석;정진태
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11a
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    • pp.319-324
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    • 2001
  • Free non-linear vibration of a rotating thin ring with a constant speed is analyzed when the ring has both the in-plane and out-of-plane motions. The geometric non-linearity of displacements is considered by adopting the Lagrange strain theory for the circumferential strain. By using Hamilton's principle, the coupled non-linear partial differential equations are derived, which describe the out-of-plane and in-plane bending, extensional and torsional motions. The natural frequencies are calculated from the linearized equations at various rotational speeds. Finally, the computation results from three non-linear models are compared with those from a linear model. Based on the comparison, this study recommends which model is appropriate to describe the non- linear behavior more precisely.

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Relationship between Rustling Sounds and Physical Properties of Suiting fabrics (슈트용 직물의 스치는 소리와 물성간의 관계)

  • 조길수;이은주
    • Proceedings of the Korean Society for Emotion and Sensibility Conference
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    • 1999.03a
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    • pp.271-276
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    • 1999
  • This study was carried out to investigate the relationship between sound color and physical propertiessuiting fabrics. Rustling sounds of 23 suiting fabrics by sound generator developed for this study were recorded and analysed through FFT analysis. Three sound color factor(ΔL Δf. LPT) were obtained.Physical properties of specimens were measured by KES-FB. Level range(L) showed significant correlation with tensile resilience(RT) and thickness (T). Frequency difference(Δf) showed significant correlation with tensile linearity(LT), shear properties(G, 2HG, 2HG5), compressional energy(WC), and weight(W). Total sound pressure (LPT) showed significant correlation with elongation at maximum load (EM), tensile linearity(LY), and tesile energy(WT). By stepwise regression LPT was found to be explained by EM, MIU, RC, LT significantly.

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Structural Optimization of Truss with Non-Linear Response Using Equivalent Static Loads (등가정하중을 이용한 비선형 거동 트러스 구조물의 최적설계)

  • Park, Ki-Jong;Park, Gyung-Jin
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.999-1004
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    • 2004
  • A numerical method and algorithms is proposed to perform optimization of non-linear response structures. An analytical and numerical method based finite element method is also proposed for the transformation of non-linear response into linear response. Loads transformed from this method are defined as the equivalent linear loads. With the loads and the transformed response, linear static optimization is performed for nonlinear response structure with geometric and/or material non-linearity. The results of the optimization are compared with them of typical non-linear response optimization using finite difference method. The proposed method is very efficient and derives good solution.

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Exact buckling load of a restrained RC column

  • Krauberger, Nana;Saje, Miran;Planinc, Igor;Bratina, Sebastjan
    • Structural Engineering and Mechanics
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    • v.27 no.3
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    • pp.293-310
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    • 2007
  • Theoretical foundation for the buckling load determination in reinforced concrete columns is described and analytical solutions for buckling loads of the Euler-type straight reinforced concrete columns given. The buckling analysis of the limited set of restrained reinforced concrete columns is also included, and some conclusions regarding effects of material non-linearity and restrain stiffnesses on the buckling loads and the buckling lengths are presented. It is shown that the material non-linearity has a substantial effect on the buckling load of the restrained reinforced concrete columns. By contrast, the steel/concrete area ratio and the layout of reinforcing bars are less important. The influence on the effective buckling length is small.

NNDI decentralized evolved intelligent stabilization of large-scale systems

  • Chen, Z.Y.;Wang, Ruei-Yuan;Jiang, Rong;Chen, Timothy
    • Smart Structures and Systems
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    • v.30 no.1
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    • pp.1-15
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    • 2022
  • This article focuses on stability analysis and fuzzy controller synthesis for large neural network (NN) systems consisting of several interconnected subsystems represented by the NN model. Advanced and fuzzy NN differential inclusion (NNDI) for stability based on the developed algorithm with H infinity can be designed based on the evolved biological design. This representation is constructed using sector linearity for NN models. Sector linearity transforms a non-linear model into a linear model based on proposed operations. New sufficient conditions are realized in the form of LMI (linear matrix inequalities) to ensure the asymptotic stability of the trans-Lyapunov function. This transforms the nonlinear model into a linear model based on multiple rules. At last, a numerical case study with simulations is derived as illustration to prove its feasibility in real nonlinear structures.

Analysis of formaldehyde using DNPH cartridge/LC-MS in the Ban-Woll.Shi-Hwa Industrial Complex (DNPH cartridge/LC-MS 방법에 의한 반월.시화산업단지의 폼알데하이드 분석에 관한 연구)

  • Cho Deok-Hee;Song Il-Seok;Kim In-Gu;Kim Woong-Soo;Kim Jong-Bo;Kim Tae-Hyun;Hwang Sun-Min;Nam Woo-Kyong
    • Journal of environmental and Sanitary engineering
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    • v.21 no.1 s.59
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    • pp.35-43
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    • 2006
  • Formaldehyde is important because of their irritant and toxic properties, mutagenicity and carcinogenicity. In this study, liquid chromatography-mass spectrometry (LC-MS) is used for the analysis of formaldehyde after derivatization with 2,4-dinitrophenylhydrazine (DNPH) cartridge. Analytical parameters such as linearity, repeatability and minimum detection limit were evaluated. The linearity ($r^2$) was 0.9997 when analyte concentration ranges from 25 to $200{\mu}g/l$. The relative standard deviation (%RSD) was 1.25 % for concentration of $200{\mu}g/l$. The minimum detection limit (MDL) was 0.73 ppbv. It was shown that LC-MS method has a great potential for formaldehyde analysis. The results of formaldehyde from the survey of Ban-Woll and Shi-Hwa Industrial Complex samples, the highest level was 6.20, 3.93 ppb, respectively. The highest emission level of formaldehyde at chemical plants in the Ban-Woll' Shi-Hwa Industrial Complex was 5421.25 ppb.