• Structural Monitoring and Maintenance
• /
• 제11권1호
• /
• pp.19-40
• /
• 2024

The elastic theory of beams is fundamental in engineering of design and structure. In this study, we construct Green's function for inhomogeneous fourth-order differential operators subjected to associated constraints that arises in dealing with dynamic problems in the Rayleigh beam. We obtain solutions for homogeneous and completely inhomogeneous beam problems using Green's function. This enables us to consider rotational influences in determining the eigenfrequency of beam vibrations. Additionally, we investigate the dynamic vibration model of inhomogeneous beams incorporating rotational effects. The eigenvalues of Rayleigh beams, including first-order correction terms, are also computed and displayed in tabular forms.

• 대한원격탐사학회지
• /
• 제29권2호
• /
• pp.173-182
• /
• 2013

천리안 위성 해양탑재체(Geostationary Ocean Color Imager, GOCI) 대기보정의 근간이 되는 Sea-viewing Wide Field-of-view Sensor(SeaWiFS) 초기 대기보정 기법은 근적외선 파장대의 해수 반사도를 0으로 가정한다. 이러한 가정에 근거하여 근적외선 파장에서 탐지되는 모든 신호는 에어로졸 산란에 의한 반사도로 간주된다. 그러나 이러한 가정은 탁한 해역에서 해수 반사도를 과소 추정하는 문제점을 야기시킨다. 이를 해결하기 위하여 Management Unit of the North Sea Mathematical Models(MUMM) 대기보정 알고리즘이 개발되었다. 이 알고리즘은 근적외선 파장에서 탐지되는 해수 반사도 비율인 ${\alpha}$를 도입하였다. ${\alpha}$는 통계적 방법에 의하여 결정되며 영상 내의 모든 픽셀에 고정적인 값으로 사용된다. 이 알고리즘은 근적외선 해수 반사도가 0.01보다 작은 중간 탁도의 해역에서는 잘 맞는 반면 매우 탁한 해역에서는 ${\alpha}$가 탁도에 따라 변하기 때문에 오차율이 다시 증가한다. 본 연구에서는 매우 탁한 해역 해수 반사도의 정확도를 향상시키고자 ${\alpha}$를 고정하지 않고, 반복계산을 통해 탁도에 적합한 ${\alpha}$를 계산하도록 MUMM 알고리즘을 수정 보완하였다. 그 결과 MUMM 알고리즘의 모든 밴드의 평균 Root Mean Square Error(RMSE)는 0.0048인 반면 수정된 MUMM 알고리즘은 0.002로 개선된 결과를 얻었다.

• Current Optics and Photonics
• /
• 제7권5호
• /
• pp.518-528
• /
• 2023

As an effective means of remotely detecting the spectral information of the object, the spectral calibration for the Savart polarization interference imaging spectrometer (SPIIS) is a basis and prerequisite of information quantification, and its experimental calibration scheme is firstly proposed in this paper. In order to evaluate the accuracy of the spectral information acquisition, the linear interpolation, cubic spline interpolation, and piecewise cubic interpolation algorithms are adopted, and the precision of the quadratic polynomial fitting is the highest, whose fitting error is better than 5.8642 nm in the wavelength range of [500 nm, 820 nm]. Besides, the inversed value of the spectral resolution for the monochromatic light is greater than the theoretical value, and the deviation between them becomes larger with the wavelength increasing, which is mainly caused by the structural design of the SPIIS, together with the rationality of the spectral restoration algorithm and the selection of the maximum optical path difference (OPD). This work demonstrates that the SPIIS has achieved high performance assuring the feasibility of its practical use in various fields.

• 접착 및 계면
• /
• 제5권2호
• /
• pp.14-26
• /
• 2004

For reliable determination of mechanical characteristics of adhesively bonded joints used e.g. as input data for computer-aided design of complex components, the thick-adherend tensile-shear test according to ISO 11003-2 is the most important material testing method. Although the total displacement of the joint is measured across the polymer layer directly in the overlap zone in order to minimize the influence of the stepped adherends, the substrate deformation must be taken into account within the framework of the evaluation of the shear modulus and the maximum shear strain, at least when high-strength adhesives are applied. In the standard ISO 11003-2 version of 1993, it was prescribed to perform the substrate deformation correction by means of testing a one-piece reference specimen. The authors, however, pointed to the excessive demands on the measuring accuracy of the extensometers connected with this technique in industrial practice and alternatively proposed a numerical deformation analysis of a dummy specimen. This idea of a mathematical correction was included in the revised ISO 11003-2 version of 2001 but in the simplified form of an analytical method based on Hooke's law of elasticity for small strains. In the present work, it is shown that both calculation techniques yield considerably discordant results. As experimental assessment would require high-precision distance determination (e.g. laser extensometer), finite element analyses of the deformation behavior of the bonded joint are performed in order to estimate the accuracy of the obtained substrate deformation corrections. These simulations reveal that the numerical correction technique based on the finite element deformation modeling of the reference specimen leads to considerably more realistic results.

• 대한방사선기술학회지:방사선기술과학
• /
• 제45권5호
• /
• pp.397-405
• /
• 2022

Computed radiography (CR) systems, which convert an analog signal recorded on a cassette into a digital image, combine the characteristics of analog and digital imaging systems. Compared to digital radiography (DR) systems, CR systems have presented difficulties in evaluating system performance because of their lower detective quantum efficiency, their lower signal-to-noise ratio (SNR), and lower modulation transfer function (MTF). During the step of energy-storing and reading out, a baseline offset occurs in the edge area and makes low-frequency overestimation. The low-frequency offset component in the line spread function (LSF) critically affects the MTF and other image-analysis or qualification processes. In this study, we developed the method of baseline correction using mathematical morphology to determine the LSF and MTF of CR systems accurately. We presented a baseline correction that used a morphological filter to effectively remove the low-frequency offset from the LSF. We also tried an MTF evaluation of the CR system to demonstrate the effectiveness of the baseline correction. The MTF with a 3-pixel structuring element (SE) fluctuated since it overestimated the low-frequency component. This overestimation led the algorithm to over-compensate in the low-frequency region so that high-frequency components appeared relatively strong. The MTFs with between 11- and 15-pixel SEs showed little variation. Compared to spatial or frequency filtering that eliminated baseline effects in the edge spread function, our algorithm performed better at precisely locating the edge position and the averaged LSF was narrower.

• 한국멀티미디어학회논문지
• /
• 제24권5호
• /
• pp.676-683
• /
• 2021

Wi-Fi Round-trip timing (RTT) based location estimation technology estimates the distance between the user and the AP based on the transmission and reception time of the signal. This is because reception instability and signal distortion are greater than that of a Received Signal Strength Indicator (RSSI) based fingerprint in an indoor NLOS environment, resulting in a large position error due to multipath fading. To solve this problem, in this paper, we propose an end-to-end based WiFi Trilateration Net (WTN) that combines neural network-based RTT correction and trilateral positioning network, respectively. The proposed WTN is composed of an RNN-based correction network to improve the RTT distance accuracy and a neural network-based trilateral positioning network for real-time positioning implemented in an end-to-end structure. The proposed network improves learning efficiency by changing the trilateral positioning algorithm, which cannot be learned through differentiation due to mathematical operations, to a neural network. In addition, in order to increase the stability of the TOA based RTT, a correction network is applied in the scanning step to collect reliable distance estimation values from each RTT AP.

• 한국정밀공학회:학술대회논문집
• /
• 한국정밀공학회 2002년도 추계학술대회 논문집
• /
• pp.1059-1061
• /
• 2002

A FE model is to develop a personalized biomechanical model of the scoliotic spine that will allow the design of clinical test providing optimal estimation of the post-operation results. A flexible multi-body model of the spine including rib cage, clavicle, and scapular was developed to simulate several mobility simulations. Vertebrae, clavicle and scapular were represented using rigid bodies and ribs and sternum were modeled as flexible bodies. Kinematical Joints and spring elements were used to represent the intervertebral disc and ligaments respectively. Postero-anterior and lateral radiographics of a scoliotic spine were used to represent a 3D reconstruction. CT data for same patient were also used to verify vertebrae rotation driven from postero-anterior and lateral radiographic images. Simulated results showed good reducibility almost uniformly distributed along the spinal segments. It was also found that boundary and loading conditions, required to mimic the operation procedures, were proven to be very sensitive parameters to its results rather than its mechanical properties

• 한국컴퓨터정보학회논문지
• /
• 제23권2호
• /
• pp.1-7
• /
• 2018

The adaptive optics for compensating for optical wavefront distortion due to atmospheric turbulence has recently been used in systems that improve beam quality by eliminating the aberrations of high power laser beam wavefront. However, unseen-mode, which can not be measured in the wavefront sensor, increases the instability of the laser beam wavefront compensator on the adaptive optics system. As a method for improving such instability, a mathematical method for limiting the number of singular values is used when generating the command matrix involved in generation of the drive command of the wavefront compensator. In the past, however, we have relied solely on experimental methods to determine the limiting range of the singular values. In this paper, we propose a criterion for determining the limiting range of the singular values using the driving characteristics and the correlation technique of the wavefront compensator's actuators and have proved its performance experimentally.

• Journal of Electrical Engineering and Technology
• /
• 제13권5호
• /
• pp.1935-1944
• /
• 2018

With the increase of the production of energy from renewable, it becomes important to look at techniques to store this energy. Therefore, a single winding bearingless flywheel motor (SWBFM) specially for flywheel energy storage system is introduced. For the control system of SWBFM, coupling between the torque and the suspension subsystems exists inevitably. It is necessary to build a reasonable radial force mathematical model to precisely control SWBFM. However, SWBFM has twelve independently controlled windings which leads to high-order matrix transformation and complex differential calculation in the process of mathematical modeling based on virtual displacement method. In this frame, a Maxwell tensor modeling method which is no need the detailed derivation and complex theoretical computation is present. Moreover, it possesses advantages of universality, accuracy, and directness. The fringing magnetic path is improved from straight and circular lines to elliptical line and the rationality of elliptical line is verified by virtual displacement theory according to electromagnetic torque characteristics. A correction function is taken to increase the model accuracy based on finite element analysis. Simulation and experimental results show that the control system of SWBFM with radial force mathematical model based on Maxwell tensor method is feasible and has high precision.

• 한국학교수학회논문집
• /
• 제13권1호
• /
• pp.23-43
• /
• 2010

함수영역은 초등학교 과정에서는 규칙성과 문제해결을 중심으로, 중고등학교 과정에서는 함수라는 함축적 용어를 사용하고 있다. 함수개념은 그래프와 관련된 표현이나 해석을 필요로 하는 등 한마디로 규정하기 힘든 통합개념이고 이를 지도하는 방법 또한 많은 변수들을 포함하고 있다. 많은 연구들이 중학교 또는 고등학교 과정의 일부분을 중심으로 진행되어 중 고등학교 과정의 연계성을 강조한 연구가 부족한 실정에서 본 연구는 중학교 과정의 함수개념을 이미 학습한 고등학생들을 대상으로 함수단원에 대해 어느 정도 이해하고 있으며 그들이 문제해결과정에서 자주 범하게 되는 오류유형을 분석하고 이것을 바탕으로 함수학습 지도에 활용함으로써 학생들의 오류가 어떻게 교정되는지를 살펴보았다. 그 결과 고등학교 과정에서 함수 개념의 정의 방식이 바뀌어 큰 어려움을 겪고 있으며, 주된 오류유형은 함수 개념과 관련된 기본적인 내용에 대해 이해가 부족하며 개념이해를 바탕으로 하지 않고 암기에 의존하여 문제해결을 시도하거나 문제해결과정에서 틀에 박힌 문제유형에 너무나 익숙해져 있어서 새로운 유형의 문제를 접했을 때로 기존의 익숙한 방식으로 해석하여 풀이하거나 부적절한 추론을 하는 경우, 그리고 계산상의 오류 및 기호를 처리하는데 오는 기술적인 오류를 흔히 범하는 것으로 나타났다.