• Title/Summary/Keyword: a nonlinearity

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Development of a FMCW Radar Using a Compensation Algorithm for VCO Nonlinearity (VCO 비선형 보상 알고리듬을 적용한 근거리 측정용 FMCW 레이더 개발)

  • Chun, Joong Chang;Lee, Hyun Soo;Sohn, Jong Yoon;Kim, Tae Soo
    • Journal of Korea Society of Industrial Information Systems
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    • v.19 no.1
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    • pp.25-30
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    • 2014
  • In this paper, we have implemented an FMCW radar for a near distance measurement. In the structure of the FMCW radar, it is a key problem to solve the VCO nonlinearity. In this work, we have adopted a VCO nonlinearity compensation algorithm using the spectrum correlation of beat signals. The radar experimented in this work uses an X-band(9.55~10.25GHz) microwave signal, and realizes precision of 3% in the range of 30m. The prototype can be applied to the front surveillance radar such as in vehicle anti-collision and probing robot mission.

Initial Second Harmonic Generation in Narrowband Surface Waves by Multi-Line Laser Beams for Two Kinds of Spatial Energy Profile Models: Gaussian and Square-Like

  • Choi, Sungho;Jhang, Kyung-Young
    • Journal of the Korean Society for Nondestructive Testing
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    • v.33 no.3
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    • pp.257-263
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    • 2013
  • Acoustic nonlinearity of surface waves is an effective method to evaluate the micro damage on the surface of materials. In this method, the $A_1$ (magnitude of the fundamental wave) and $A_2$ (magnitude of the second-order harmonic wave) are measured for evaluation of acoustic nonlinearity. However, if there is another source of second-order harmonic wave other than the material itself, the linear relationship between $A_1{^2}$ and $A_2$ will not be guaranteed. Therefore, the second-order harmonic generation by another source should be fully suppressed. In this paper, we investigated the initial second-order harmonic generation in narrowband surface waves by multi-line laser beams. The spatial profile of laser beam was considered in the cases of Gaussian and square-like. The temporal profile was assumed to be Gaussian. In case of Gaussian spatial profile, the generation of the initial second-order harmonic wave was inevitable. However, when the spatial profile was square-like, the generation of the initial second-order harmonic wave was able to be fully suppressed at specific duty ratio. These results mean that the multi-line laser beams of square-like profile with a proper duty ratio are useful to evaluate the acoustic nonlinearity of the generated surface waves.

Damage detection of nonlinear structures with analytical mode decomposition and Hilbert transform

  • Wang, Zuo-Cai;Geng, Dong;Ren, Wei-Xin;Chen, Gen-Da;Zhang, Guang-Feng
    • Smart Structures and Systems
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    • v.15 no.1
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    • pp.1-13
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    • 2015
  • This paper proposes an analytical mode decomposition (AMD) and Hilbert transform method for structural nonlinearity quantification and damage detection under earthquake loads. The measured structural response is first decomposed into several intrinsic mode functions (IMF) using the proposed AMD method. Each IMF is an amplitude modulated-frequency modulated signal with narrow frequency bandwidth. Then, the instantaneous frequencies of the decomposed IMF can be defined with Hilbert transform. However, for a nonlinear structure, the defined instantaneous frequencies from the decomposed IMF are not equal to the instantaneous frequencies of the structure itself. The theoretical derivation in this paper indicates that the instantaneous frequency of the decomposed measured response includes a slowly-varying part which represents the instantaneous frequency of the structure and rapidly-varying part for a nonlinear structure subjected to earthquake excitations. To eliminate the rapidly-varying part effects, the instantaneous frequency is integrated over time duration. Then the degree of nonlinearity index, which represents the damage severity of structure, is defined based on the integrated instantaneous frequency in this paper. A one-story hysteretic nonlinear structure with various earthquake excitations are simulated as numerical examples and the degree of nonlinearity index is obtained. Finally, the degree of nonlinearity index is estimated from the experimental data of a seven-story building under four earthquake excitations. The index values for the building subjected to a low intensity earthquake excitation, two medium intensity earthquake excitations, and a large intensity earthquake excitation are calculated as 12.8%, 23.0%, 23.2%, and 39.5%, respectively.

Evaluation of Fracture Toughness Degradation of CrMoV Rotor Steels Based on Ultrasonic Nonlinearity Measurements

  • Hyunjo Jeong;Nahm, Seung-Hoon;Jhang, Kyung-Young;Nam, Young-Hyun
    • Journal of Mechanical Science and Technology
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    • v.16 no.2
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    • pp.147-154
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    • 2002
  • The objective of this paper is to develop a nondestructive method for estimating the fracture toughness (K$\_$IC/) of CrMoV steels used as the rotor material of steam turbines in power plants. To achieve this objective, a number of CrMoV steel samples were heat-treated, and the fracture appearance transition temperature (FATT) was determined as a function of aging time. Nonlinear ultrasonics was employed as the theoretical basis to explain the harmonic generation in a damaged material, and the nonlinearity parameter of the second harmonic wave was the experimental measure used to be correlated to the fracture toughness of the rotor steel. The nondestructive procedure for estimating the 7c consists of two steps. First, the correlations between the nonlinearity parameter and the FATT are sought. The FATT values are then used to estimate K$\_$IC/, using the K$\_$IC/ versus excess temperature (i.e., T-FATT) correlation that is available in the literature for CrMoV rotor steel.

A State Space Analysis on the Stability of Periodic Orbit Predicted by Harmonic Balance

  • Sung, Sang-Kyung;Lee, Jang-Gyu;Kang, Tae-Sam
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.67.5-67
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    • 2001
  • A closed loop system with a linear plant and nonlinearity in the feedback connection is analyzed for its quasi-static orbital stability by a state-space approach. First a periodic orbit is assumed to exist in the loop which is determined by describing function method for the given nonlinearity. This is possible by selecting a proper nonlinearity and a rigorous justification of the describing function method.[1-3, 18, 20]. Then by introducing residual operator, a linear perturbed model can be formulated. Using various transformations like a modified eigenstructure decomposition, periodic-averaging, charge of variables and coordinate transformation, the stability of the periodic orbit, as a solution of harmonic balance, can be shown by investigating a simple scalar function and result of linear algebra. This is ...

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Vibration Characteristics of a Curved Pipe Conveying Fluid with the Geometric Nonlinearity (기하학적 비선형성을 갖는 유체를 수송하는 곡선관의 진동 특성)

  • Jung, Du-Han;Chung, Jin-Tai
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.793-798
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    • 2004
  • The vibration of a curved pipe conveying fluid is studied when the pipe is clamped at both ends. To consider the geometric nonlinearity, this study adopts the Lagrange strain theory for large deformation and the extensible dynamics based on the Euler-Bernoulli beam theory for slenderness assumption. By using the extended Hamilton principle, the non-linear partial differential equations are derived for the in-plane motions of the pipe. The linear and non-linear terms in the governing equations are compared with those in the previous study, and some significant differences are discussed. To investigate the vibration characteristics of the system, the discretized equations of motion are derived from the Galerkin method. The natural frequencies varying with the flow velocity are computed from the two cases, which one is the linear problem and the other is the linearized problem in the neighborhood of the equilibrium position. From these results, we should consider the geometric nonlinearity to analyze the dynamics of a curved pipe conveying fluid more precisely.

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Optimal Design of High-Capacity Column-Type Load Cell Using Response Surface Method (반응표면법을 이용한 고하중 기둥형 로드셀의 치적설계)

  • 이태현;이태희;변철웅;박준구
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.754-758
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    • 2002
  • According to the enlargement of production facilities and structures, the requirements of high-capacity load cells are increased for monitoring the process conditions in many fields. Generally, however, the accuracy of the column-type high-capacity load cells is not enough due to the geometric nonlinearity. It is supposed to result from the fact that the whole spring element is under high-level stress for the uniform strain field. In this paper, a new shape of spring element is developed which utilizes the stress concentration. As a design criterion, an object function which quantifies the degree of nonlinearity is defined and optimized by use of response surface modeling. As a result, the weight of the spring element is reduced shout 50% in comparison to the conventional shape. The bonding positions of stain gages are found. which show theoretically zero geometrical nonlinearity, while the ratio of overload protection is reduced from 130% to 125% Also it is shown that the response surface method is very efficient in the optimization approach by use of FEM.

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Long-term structural analysis and stability assessment of three-pinned CFST arches accounting for geometric nonlinearity

  • Luo, Kai;Pi, Yong-Lin;Gao, Wei;Bradford, Mark A.
    • Steel and Composite Structures
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    • v.20 no.2
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    • pp.379-397
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    • 2016
  • Due to creep and shrinkage of the concrete core, concrete-filled steel tubular (CFST) arches continue to deform in the long-term under sustained loads. This paper presents analytical investigations of the effects of geometric nonlinearity on the long-term in-plane structural performance and stability of three-pinned CFST circular arches under a sustained uniform radial load. Non-linear long-term analysis is conducted and compared with its linear counterpart. It is found that the linear analysis predicts long-term increases of deformations of the CFST arches, but does not predict any long-term changes of the internal actions. However, non-linear analysis predicts not only more significant long-term increases of deformations, but also significant long-term increases of internal actions under the same sustained load. As a result, a three-pinned CFST arch satisfying the serviceability limit state predicted by the linear analysis may violate the serviceability requirement when its geometric nonlinearity is considered. It is also shown that the geometric nonlinearity greatly reduces the long-term in-plane stability of three-pinned CFST arches under the sustained load. A three-pinned CFST arch satisfying the stability limit state predicted by linear analysis in the long-term may lose its stability because of its geometric nonlinearity. Hence, non-linear analysis is needed for correctly predicting the long-term structural behaviour and stability of three-pinned CFST arches under the sustained load. The non-linear long-term behaviour and stability of three-pinned CFST arches are compared with those of two-pinned counterparts. The linear and non-linear analyses for the long-term behaviour and stability are validated by the finite element method.

ROBUST CONTROL OF POSITIONING SYSTEMS WITH A BANG-BANG ACTUATOR (뱅-뱅 액츄에이터를 가진 위치 제어계의 강인제어)

  • 최진태;김종식
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.456-460
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    • 1996
  • A nonlinear control scheme for preventing limit cycle due to the nonlinearity of themulti-step bang-bang actuator in mechanical position control systems is proposed. A linearized model, SIDF, fora multi-step bang-bang actuator is introduced to compensate the nonlinearity of the multi-step bang-bang actuator. Using that model, a $H_{\infty}$robust controller for position control systms with a bang-bang actuator is proposed by loop shaping tecniques with normalized coprime factorization stabilization to address the robustness. The proposed scheme needs a smaller deadband as a result of compensating the nonlinearity of the bang-bang actuator. A single-axis servo system is served in order to verify the proposed control scheme experimentally. Experimental results show that the controller can satisfy the special intersts, silent contact switching of the actuator.r.

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Modeling of a High Impedance Fault Using Two Time-Varying Resistances (두 개의 시변 저항을 이용한 고저항 사고 모델링)

  • Nam, Soon-Ryul;Kang, Yong-Cheol;Park, Jong-Keun
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.10
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    • pp.473-478
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    • 2000
  • A more reliable algorithm for detecting a high impedance fault (HIF) requires voltage and current at the relaying point containing information of HIF characteristics including buildup/shoulder as well as nonlinearity/asymmetry. This paper presents a modeling method of an HIF in a distribution system. In order to do this, the proposed method uses two series time-varying resistances (TVRs) controlled by Transient Analysis of Control Systems (TACS) in EMTP. One TVR is employed for nonlinearity/asymmetry and then the other TVR for buildup/shoulder. The proposed method is implemented in EMTP and thus the voltage and current at the relaying point can be obtained.

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