• Title/Summary/Keyword: non-linear problem

Search Result 678, Processing Time 0.027 seconds

A compressible finite element model for hyperelastic members under different modes of deformation

  • Manna, M.C.;Sheikh, A.H.;Bhattacharyya, R.
    • Structural Engineering and Mechanics
    • /
    • v.24 no.2
    • /
    • pp.227-245
    • /
    • 2006
  • The performance of a three dimensional non-linear finite element model for hyperelastic material considering the effect of compressibility is studied by analyzing rubber blocks under different modes of deformation. It includes simple tension, pure shear, simple shear, pure bending and a mixed mode combining compression, shear and bending. The compressibility of the hyperelastic material is represented in the strain energy function. The nonlinear formulation is based on updated Lagrangian (UL) technique. The displacement model is implemented with a twenty node brick element having u, ${\nu}$ and w as the degrees of freedom at each node. The results obtained by the present numerical model are compared with the analytical solutions available for the basic modes of deformation where the agreement between the results is found to be satisfactory. In this context some new results are generated for future references since the number of available results on the present problem is not sufficient enough.

Bending and buckling of a rectangular porous plate

  • Magnucki, K.;Malinowski, M.;Kasprzak, J.
    • Steel and Composite Structures
    • /
    • v.6 no.4
    • /
    • pp.319-333
    • /
    • 2006
  • A rectangular plate made of a porous material is the subject of the work. Its mechanical properties vary continuously on the thickness of a plate. A mathematical model of this plate, which bases on nonlinear displacement functions taking into account shearing deformations, is presented. The assumed displacement field, linear geometrical and physical relationships permit to describe the total potential energy of a plate. Using the principle of stationarity of the total potential energy the set of five equilibrium equations for transversely and in-plane loaded plates is obtained. The derived equations are used for solving a problem of a bending simply supported plate loaded with transverse pressure. Moreover, the critical load of a bi-axially in-plane compressed plate is found. In both cases influence of parameters on obtained solutions such as a porosity coefficient or thickness ratio is analysed. In order to compare analytical results a finite element model of a porous plate is built using system ANSYS. Obtained numerical results are in agreement with analytical ones.

Diagnosis of Rolling Mill Using Wavelet (Wavelet을 이용한 압연기 진단)

  • 김이곤;김창원;송길호
    • Proceedings of the Korean Institute of Intelligent Systems Conference
    • /
    • 1998.10a
    • /
    • pp.597-608
    • /
    • 1998
  • A diagnosis system that provides early warnings regarding machine malfunction is very important for rolling mill so as to avoid great losses resulting from unexpected shutdown of the production line. But it is very difficult to provide early warnings in rolling mill. Because dynamics of rolling mill is non-linear. This paper proposes a new method for diagnosis of rolling mill using wavelet to solve this problem. Proposed method that measures the vibration signals of rolling mill on-line and analyze it using wavelet to acquire pattern datas. And we design a nero-fuzzy model that diagnose a rolling mill using this data. Validity of the new method is asserted by numerical simulation.

  • PDF

S-Domain Equivalent System for Electromagnetic Transient Studies PART II : Frequency Dependent AC System Equivalent (전자기 과도현상 해석을 위한 S 영역 등가시스템 PART II: 주파수 의존 교류 시스템 등가)

  • Chung Hyeng-Hwan;Wang Yong-Peel
    • The Transactions of the Korean Institute of Electrical Engineers A
    • /
    • v.54 no.4
    • /
    • pp.165-171
    • /
    • 2005
  • Electromagnetic transient simulation can be used to model complex non-linearities that very difficult to represent adequately in the frequency domain. This problem is greatly reduced with the use of frequency dependent network equivalents for the linear part of the system. S-domain rational function fitting techniques for representing frequency dependent equivalents have been developed using Least Squares Fitting(LSF). However it does not suffer the implementation error that exited in this work as it ignored the instantaneous term. This paper presents the formulation for developing 2 port Frequency Dependent AC System Equivalent(FDACSE) with the instantaneous term in S-domain and illustrates its use. This 2 port FDNE have been applied to the New Zealand AC system. The electromagnetic transient package PSCAD/EMTDC is used to assess the transient response of the 2 port (FDACSE) developed with Norton Equivalent network. The study results have indicated the robustness and accuracy of 2 port FDACSE for electromagnetic transient studies.

A Study of Harmonics by Arc Furnace Operating for Demand Side Management (수요관리를 위한 아크로 운전 상태에 따른 고조파 연구)

  • Park, Kyung-Ho;Kim, Jae-Chul;Park, Hyun-Teak;Im, Sang-Kug;Oh, Dong-Whan
    • Proceedings of the KIEE Conference
    • /
    • 2003.11a
    • /
    • pp.17-19
    • /
    • 2003
  • Electric arc furnace has consumed plenty of power. Hence electric arc furnace can be expected to use for demand side management. When electric arc furnace use for demand side management, electric arc furnace frequently occur a starting and a stop. Electric arc furnace irregularity change consumption of power. Due to character of time-varing and non-linear, electirc arc furnace has a problem with voltage quality(flicker, harmonics). Producted harmonic in electric art furnace is different any harmonic source because of electric arc furnace peculiar operating. Accordingly, analysis for generated harmonic in electric arc furnace operating is demanded. This paper analyze effect of harmonic by arc furnace operating.

  • PDF

A Backstepping Design with Sliding Mode Control for AC Servo System (AC 서보 시스템에 대한 Backstepping 슬라이딩 모드 제어기 설계)

  • Kim, Sung-Hwon;Park, Seung-Kyu;Ahn, Ho-Kyun;Kim, Min-Chan
    • Proceedings of the KIEE Conference
    • /
    • 2003.07d
    • /
    • pp.2248-2250
    • /
    • 2003
  • This paper Backstepping design with Sliding Mode Control for AC Servo Systems. The robustness of sliding mode control can be used for backstepping technique to solve the uncertainty problem. A scalar design using Lyapunov function is developed for high-order systems. The result can be easily extended to non-linear system and used with many other sliding mode control results.

  • PDF

Instantaneous Active/Reactive Power Compensation of Distribution Static Compensator using State Observer (배전용 정지형 보상기의 상태관측기를 이용한 순시 유효/무효전력 보상)

  • Kim, Hyeong-Su;Choi, Jong-Woo
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.57 no.8
    • /
    • pp.1377-1382
    • /
    • 2008
  • DSTATCOM(distribution static compensator) is one of the custom power devices, and protects a distribution line from unbalanced and harmonic current caused by non-linear and unbalanced loads. Researches about DSTATCOM are mainly divided two parts, one is the calculation of compensation current and the other part is the current control. Conventional researches use a LPF(low pass filter) to eliminate ripple component at the calculation of compensation current. But this method has a problem that LPF's characteristics restrict the compensation performance of instantaneous active and reactive power. This paper proposes a calculation of compensation current using state observer that can be a counterproposal of conventional methods using LPF. Improved performance of instantaneous active and reactive power compensation was shown by experiments.

Disassembly and Classification for Recovery of EOL Products

  • Min, Sun-Dong;Matsuoka, Shinobu;Muraki, Masaaki
    • Industrial Engineering and Management Systems
    • /
    • v.2 no.1
    • /
    • pp.35-44
    • /
    • 2003
  • Recovery of end-of-life (EOL) products is an environmentally and economically sound way to achieve many of the goals of sustainable development. Many product recovery systems are dependent upon destructive disassembly such as shredding, which undesirably causes a large volume of shredder dust and makes parts reuse impossible. Although non-destructive disassembly has been considered as an alternative for solving the problems, the classification of disassembled items has not been sufficiently investigated. In this paper, we propose a model that mathematically optimizes the disassembly and classification of EOL products. Based on the AND/OR graph that illustrates all possible disassembly sequences of a given product, we identify the physical properties that are considered as constraints in the model. As a result of the solution procedure, the recovery problem can be transformed into a mixed integer linear programming (MILP) model. We show an example that illustrates the concept of our model.

Efficient Algorithms for Approximating the Centroids of Monotone Directions in a Polyhedron

  • Ha, Jong-Sung;Yoo, Kwan-Hee
    • International Journal of Contents
    • /
    • v.12 no.2
    • /
    • pp.42-48
    • /
    • 2016
  • We present efficient algorithms for computing centroid directions for each of the three types of monotonicity in a polyhedron: strong, weak, and directional monotonicity, which can be used for optimizing directions in many 3D manufacturing processes. Strongly- and directionally-monotone directions are the poles of great circles separating a set of spherical polygons on the unit sphere, the centroids of which are shown to be obtained by applying the previous result for determining the maximum intersection of the set of their dual spherical polygons. Especially in this paper, we focus on developing an efficient method for approximating the weakly-monotone centroid, which is the pole of one of the great circles intersecting a set of spherical polygons on the unit sphere. The original problem is approximately reduced into computing the intersection of great bands for avoiding complicated computational complexity of non-convex objects on the unit sphere, which can be realized with practical linear-time operations.

Online Selective-Sample Learning of Hidden Markov Models for Sequence Classification

  • Kim, Minyoung
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.15 no.3
    • /
    • pp.145-152
    • /
    • 2015
  • We consider an online selective-sample learning problem for sequence classification, where the goal is to learn a predictive model using a stream of data samples whose class labels can be selectively queried by the algorithm. Given that there is a limit to the total number of queries permitted, the key issue is choosing the most informative and salient samples for their class labels to be queried. Recently, several aggressive selective-sample algorithms have been proposed under a linear model for static (non-sequential) binary classification. We extend the idea to hidden Markov models for multi-class sequence classification by introducing reasonable measures for the novelty and prediction confidence of the incoming sample with respect to the current model, on which the query decision is based. For several sequence classification datasets/tasks in online learning setups, we demonstrate the effectiveness of the proposed approach.