• Title/Summary/Keyword: Newton-method

Search Result 1,017, Processing Time 0.029 seconds

Size-dependent nonlinear pull-in instability of a bi-directional functionally graded microbeam

  • Rahim Vesal;Ahad Amiri
    • Steel and Composite Structures
    • /
    • v.52 no.5
    • /
    • pp.501-513
    • /
    • 2024
  • Two-directional functionally graded materials (2D-FGMs) show extraordinary physical properties which makes them ideal candidates for designing smart micro-switches. Pull-in instability is one of the most critical challenges in the design of electrostatically-actuated microswitches. The present research aims to bridge the gap in the static pull-in instability analysis of microswitches composed of 2D-FGM. Euler-Bernoulli beam theory with geometrical nonlinearity effect (i.e. von-Karman nonlinearity) in conjunction with the modified couple stress theory (MCST) are employed for mathematical formulation. The micro-switch is subjected to electrostatic actuation with fringing field effect and Casimir force. Hamilton's principle is utilized to derive the governing equations of the system and corresponding boundary conditions. Due to the extreme nonlinear coupling of the governing equations and boundary conditions as well as the existence of terms with variable coefficients, it was difficult to solve the obtained equations analytically. Therefore, differential quadrature method (DQM) is hired to discretize the obtained nonlinear coupled equations and non-classical boundary conditions. The result is a system of nonlinear coupled algebraic equations, which are solved via Newton-Raphson method. A parametric study is then implemented for clamped-clamped and cantilever switches to explore the static pull-in response of the system. The influences of the FG indexes in two directions, length scale parameter, and initial gap are discussed in detail.

Robust Watermarking for Digital Images in Geometric Distortions Using FP-ICA of Secant Method (할선법의 FP-ICA를 이용한 기하학적 변형에 강건한 디지털영상 워터마킹)

  • Cho Yong-Hyun
    • The KIPS Transactions:PartB
    • /
    • v.11B no.7 s.96
    • /
    • pp.813-820
    • /
    • 2004
  • This paper proposes a digital image watermarking which is robust to geometric distortions using an independent component analysis(ICA) of fixed-point(FP) algorithm based on secant method. The FP algorithm of secant method is applied for better performance in a separation time and rate, and ICA is applied to reject the prior knowledges for original image, key, and watermark such as locations and size, etc. The proposed method embeds the watermark into the spatial domain of original image The proposed watermarking technique has been applied to lena, key, and two watermarks(text and Gaussian noise) respectively. The simulation results show that the proposed method has higher speed and better rate for extracting the original images than the FP algorithm of Newton method. And the proposed method has a watermarking which is robust to geometric distortions such as resizing, rotation, and cropping. Especially, the watermark of images with Gaussian noise has better extraction performance than the watermark with text since Gaussian noise has lower correlation coefficient than the text to the original and key images. The watermarking of ICA doesn't require the prior knowledge for the original images.

A Simplified Analysis Method for Determining an Optimized Initial Shape of Cable-Stayed Bridges (사장교의 최적 초기형상 및 무응력길이 결정을 위한 간략해석법)

  • Jung, Myung Rag;Park, Se Woong;Min, Dong Ju;Kim, Moon Young
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.36 no.6
    • /
    • pp.947-954
    • /
    • 2016
  • A simplified analysis method is first proposed in order to determine an optimized initial shape of cable-stayed bridges including all unstrained element lengths without using complicated nonlinear FE analysis. The unstrained-length based FE method is then presented using the unstrained lengths by the simplified analysis. To demonstrate validity and accuracy of the proposed method, Incheon bridge model having the fabrication camber is constructed and initial shaping analysis is performed using the presented method and commercial finite element analysis program, MIDAS. Resultantly it is shown that the initial solutions by the proposed algorithm are well optimized and in good agreement with those by MIDAS except for axial displacements of the main member.

Features and Cost Reduction Effect of High Pressure LNG Pipeline Network (고압 LNG 배관망의 특성 및 비용절감 효과)

  • Kim, Ho-Yeon;Hong, Young-Soo;Noh, Joo-Young;Eom, Yun-Seong;Kim, Cheol-Man
    • Journal of Energy Engineering
    • /
    • v.17 no.3
    • /
    • pp.139-144
    • /
    • 2008
  • Recently due to march as the high oil price, It is necessary for Korea to grope a plan, which is to increase the energy efficiency of existing facilities as well as to develop overseas gas and oil resources. With this point, this work carried out to approach the high pressure LNG pipeline network of Inchon receiving terminal with Newton method as corrective flowrate. We found that the high pressure network mainly depends on FCVs(Flow Control Valves). The high pressure pump showed the maximum efficiency at the FCVs of 50% opening and could discharge LNG only above the LNG head of 1,500m from a system curve obtained. The operating cost of pumps was estimated from their operating points. We compared the operating cost under normal operation with the operating cost under maximum efficiency. Especially, we obtained the day savings of a year as wells as the hour savings of a day. From the results, the high pressure network win be able to reduce the operating cost of 138 million wons in a year. This means that a pump can reduce the operating cost of 9,823 thousands won. Consequently, this work could find the operating features of the pumps under the complicated high pressure LNG network and the savings effect of the pump operating cost. Also, the results will be able to macroscopically contribute the heightening of national energy competitiveness as well as to microscopically contribute the future effective operation of LNG receiving terminal.

Hierrachical manner of motion parameters for sports video mosaicking (스포츠 동영상의 모자익을 위한 이동계수의 계층적 향상)

  • Lee, Jae-Cheol;Lee, Soo-Jong;Ko, Young-Hoon;Noh, Heung-Sik;Lee Wan-Ju
    • The Journal of Information Technology
    • /
    • v.7 no.2
    • /
    • pp.93-104
    • /
    • 2004
  • Sports scene is characterized by large amount of global motion due to pan and zoom of camera motion, and includes many small objects moving independently. Some short period of sports games is thrilling to televiewers, and important to producers. At the same time that kinds of scenes exhibit exceptionally dynamic motions and it is very difficult to analyze the motions with conventional algorithms. In this thesis, several algorithms are proposed for global motion analysis on these dynamic scenes. It is shown that proposed algorithms worked well for motion compensation and panorama synthesis. When cascading the inter frame motions, accumulated errors are unavoidable. In order to minimize these errors, interpolation method of motion vectors is introduced. Affined transform or perspective projection transform is regarded as a square matrix, which can be factorized into small amount of motion vectors. To solve factorization problem, we preposed the adaptation of Newton Raphson method into vector and matrix form, which is also computationally efficient. Combining multi frame motion estimation and the corresponding interpolation in hierarchical manner enhancement algorithm of motion parameters is proposed, which is suitable for motion compensation and panorama synthesis. The proposed algorithms are suitable for special effect rendering for broadcast system, video indexing, tracking in complex scenes, and other fields requiring global motion estimation.

  • PDF

Analysis on the Contribution of FDOA Measurement Accuracy to the Performance of Combined TDOA/FDOA Localization Systems (TDOA/FDOA 복합 위치추정 시스템에서 FDOA 측정 정확도에 따른 추정 성능 기여도 분석)

  • Kim, Dong-Gyu;Kim, Yong-Hee;Han, Jin-Woo;Song, Kyu-Ha;Kim, Hyoung-Nam
    • Journal of the Institute of Electronics and Information Engineers
    • /
    • v.51 no.5
    • /
    • pp.88-96
    • /
    • 2014
  • In modern electronic warfare systems, the necessity of a more accurate estimation method based on non-AOA (arrival of angle) measurement, such as TDOA and FDOA, have been increased. The previous researches using single TDOA have been carried out in terms of not only the development of emitter location algorithms but also the enhancement of measurement accuracy. Recently, however, the combined TDOA/FDOA method is of considerable interest because it is able to estimate the velocity vector of a moving emitter and acquire a pair of TDOA and FDOA measurements from a single sensor pair. In this circumstance, it is needed to derive the required FDOA measurement accuracy in order that the TDOA/FDOA combined localization system outperforms the previous single TDOA localization systems. Therefore, we analyze the contribution of FDOA measurement accuracy to emitter location, then propose the criterion based on CRLB (Cramer-Rao lower bound). Simulations are included to examine the validity of the proposed criterion by using the Gauss-Newton algorithm.

A Study on the Estimation of Object's Dimension based on the Vision System Model of Extended Kalman filtering (확장칼만 필터링의 비젼시스템 모델을 이용한 물체 치수 측정에 관한 연구)

  • Jang, W.S.;Ahn, H.C.;Kim, K.S.
    • Journal of the Korean Society for Nondestructive Testing
    • /
    • v.25 no.2
    • /
    • pp.110-116
    • /
    • 2005
  • It is very important to reduce the computational processing time for the application of the vision system in real time such as inspection, the determination of object's dimension and welding etc, because the vision system model involves a lot of measurement data acquired by CCD camera. Also, a lot of computation time is required in estimating the parameters in the vision system model if the iterative batch estimation method such as Newton Raphson is used. Thus, the effective computation method such as the Extended Kalman Filtering(EKF) is required to solve the above problems. The EKF has much advantages in that it takes explicitly into account the measurement uncertainties, and is a simple and efficient recursive procedures. Thus, this study is to develop the EKF algorithm to compute the parameters in the vision system model in real time. This vision system model involves the six parameters to account for the cameras inner and outer parameters. Also the EKF is applied to estimate the object's dimension. Finally, practicality of the estimation scheme of the vision system based on the EKF is verified experimently by performing the estimation of object's dimension.

IDENTIFICATINO OF DYNAMIC PARAMETER OF THE RUBBER CRAVLES SYSTEM FOR FARM MACHINERY

  • Inoue, Eiji;Konya, Hideyuki;Hirai, Yasumaru;Noguchi, Ryozo;Hashiguchi, Koichi;Choe, Jung-Seob
    • Proceedings of the Korean Society for Agricultural Machinery Conference
    • /
    • 2000.11b
    • /
    • pp.146-153
    • /
    • 2000
  • The rubber crawler system for farm machine is composed of driving units such as track rollers, driving sprockets and rubber crawlers. Vibration characteristics of the rubber crawler system varies by driving speed, center of gravity, mass□moment of inertial□location arrangement of track rollers and dynamic parameters such as dynamic spring constant (k) and viscous damping coefficient (c) of a rubber crawler. In general, vibration of the rubber crawler system occurs by reason for mechanical interaction between the rubber crawler and track rollers. Because the dynamic spring constant and viscous damping coefficient vary periodically by mechanical characteristics(deformation characteristics) of the rubber crawler when track rollers drive on the between lugs of the rubber crawler. Therefore, both dynamic parameters k and c were expressed as Fourier series by authors through the shaking test of the rubber crawler and further, vibration characteristics of the rubber crawler system could be simulated analytically. However, actual values of dynamic parameters k and c are different from those obtained by the shaking test because dynamic characteristics of the rubber crawler vary by the effect of variable tension and driving resistance of track rollers. So, actual values of k and c should be identified in the condition of actual driving test. In this study, dynamic parameters such as k and c of the rubber crawler system, which are expressed as Fourier series, were identified using the Gauss-Newton Method. Therefore, validity of identified parameters k and c was discussed through the simulation using experimental data of actual driving test. As a result, in the Fourier series of dynamic parameters of spring constant k and viscous damping coefficient c, excellent parameter convergence and simulation were observed using the Fourier series' zero order and first term of the dynamic model. Furthermore, it was clarified that identification for model parameters which are fitted to actual dynamic motion (vibration) wave of the crawler system was possible by using the time series data observed in vertical and pitching motion of the crawler system.

  • PDF

Statistical Characteristics of the Non-tidal Components Data in Korean Coasts (한반도 연안 비조석 성분자료의 통계적 특성)

  • Cho, Hong-Yeon;Jeong, Shin-Taek;Yoon, Jong-Tae;Kim, Chang-Il
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.18 no.2
    • /
    • pp.112-123
    • /
    • 2006
  • Double-peak normal distribution function was suggested as the probability density function of the non-tidal components (NTC) data in Korean coastal zone. Frequency distribution analysis of the NTC data was carried out using hourly tidal elevation data of the ten tidal gauging stations, i.e., Incheon, Gunsan, Mokpo, Jeju, Yeosu, Masan, Gadeokdo, Busan, Pohang, and Sokcho which were served through the Internet Homepage by the National Ocean Research Institute. NTC data is defined as the difference between the measured tidal elevation data and the astronomical tidal elevation data using 64 tidal constituents information. Based on the RMS error and R2 value comparison analysis, it was found that this suggested function as the probability density function of the NTC data was found to be more appropriate than the normal distribution function. The parameters of the double-peak function were estimated optimally using Levenberg-Marquardt method which was modified from the Newton method. The standard deviation and skewness coefficient were highly correlated with the non-tidal constants of the tidal gauging stations except Mokpo, Jeju and Sokcho stations.

Velocity Model Building using Waveform Inversion from Single Channel Engineering Seismic Survey (탄성파 파형역산을 이용한 엔지니어링 목적의 단일채널 탄성파 탐사자료에서의 속도모델 도출)

  • Choi, Yeon Jin;Shin, Sung Ryul;Ha, Ji Ho;Chung, Woo Keen;Kim, Won Sik
    • Geophysics and Geophysical Exploration
    • /
    • v.17 no.4
    • /
    • pp.231-241
    • /
    • 2014
  • Recently, single channel seismic survey for engineering purpose have been used widely taking advantage of simple processing. However it is very difficult to obtain high fidelity subsurface image by single channel seismic due to insufficient fold coverage. Recently, seismic waveform inversion in multi channel seismic survey is utilized for accurate subsurface imaging even in complex terrains. In this paper, we propose the seismic waveform inversion algorithm for velocity model building using a single channel seismic data. We utilize the Gauss-Newton method and assume that subsurface model is 1-Dimensional. Seismic source estimation technique is used and offset effect is also corrected by removing delay time by offset. Proposed algorithm is verified by applying modified Marmousi2 model, and applied to field data set obtained in port of Busan.