• Title/Summary/Keyword: Nonlinear modeling

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A study on the dynamic modeling of driving system of a heavy industrial vehicle (중장비 구동체계의 제어용 동적 모델에 관한 연구)

  • 홍성욱;강민식;이종원;김광준
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.2
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    • pp.222-233
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    • 1987
  • A dynamic modeling procedure for developing a control model of the driving system of a heavy industrial vehicle is presented. The dynamic model is derived by applying generalized Lagrangian equations to each component of the system and imposing kinematic relations between components as constraints. In order to obtain the control model, a few assumptions are made for the simplification of the nonlinear and complicated model, which is justified by the comparison of the simulation results of the original full nonlinear model and the simplified control model.

Nonlinear Magnetic Modeling of EI Core Inductor by PLECS Simulation

  • Wang, Zhuning;Sul, Seung-Ki
    • Proceedings of the KIPE Conference
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    • 2015.11a
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    • pp.9-10
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    • 2015
  • EI core inductor in power electronic circuit simulation is usually assumed as linear by using matrix model. However, nonlinear magnetic characteristics such as B-H characteristic are also important for the accurate simulation of the circuit behavior. To model nonlinear magnetic characteristics of EI core inductor with only DC bias table, this paper presents a method in PLECS simulation tool which is a commercially available simulation tool for power electronics circuit analysis. Comparing with ideal matrix model, the simplification and accuracy are improved by this modeling method. Also, compared to analysis by FEM, it is much simpler, faster and easier to simulate with power electronics circuit. Validation of the proposed model was verified by simulation and experiment results.

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Nonlinear structural modeling using multivariate adaptive regression splines

  • Zhang, Wengang;Goh, A.T.C.
    • Computers and Concrete
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    • v.16 no.4
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    • pp.569-585
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    • 2015
  • Various computational tools are available for modeling highly nonlinear structural engineering problems that lack a precise analytical theory or understanding of the phenomena involved. This paper adopts a fairly simple nonparametric adaptive regression algorithm known as multivariate adaptive regression splines (MARS) to model the nonlinear interactions between variables. The MARS method makes no specific assumptions about the underlying functional relationship between the input variables and the response. Details of MARS methodology and its associated procedures are introduced first, followed by a number of examples including three practical structural engineering problems. These examples indicate that accuracy of the MARS prediction approach. Additionally, MARS is able to assess the relative importance of the designed variables. As MARS explicitly defines the intervals for the input variables, the model enables engineers to have an insight and understanding of where significant changes in the data may occur. An example is also presented to demonstrate how the MARS developed model can be used to carry out structural reliability analysis.

Numerical simulation of nonlinear strains of constructions elements

  • Askhad M. Polatov;Akhmat M. Ikramov;Sukhbatulla I. Pulatov
    • Advances in Computational Design
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    • v.9 no.2
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    • pp.137-150
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    • 2024
  • Paper shows the problems of numerical modeling of nonlinear physical processes of elements stress-strain state of construction are considered. Elastic-plastic environment of homogeneous solid material is investigated. The results of computational experiments of physically nonlinear strain process study of isotropic elements of three-dimensional constructions with a system of one - and doubly periodic spherical cavities under uniaxial compression are presented. The effect and mutual influence of stress concentrators in the form of a spherical cavities, vertically located two cavities and a horizontally located system of two cavities on the strain of construction is studied.

Application to Stabilizing Control of Nonlinear Mobile Inverted Pendulum Using Sliding Mode Technique

  • Choi, Nak-Soon;Kang, Ming-Tao;Kim, Hak-Kyeong;Park, Sang-Yong;Kim, Sang-Bong
    • Journal of Ocean Engineering and Technology
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    • v.23 no.2
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    • pp.1-7
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    • 2009
  • This paper presents a sliding mode controller based on Ackermann's formula and applies it to stabilizing a two-wheeled mobile inverted pendulum in equilibrium. The mobile inverted pendulum is a system with an inverted pendulum on a mobile cart. The dynamic modeling of the mobile inverted pendulum was established under the assumptions of a cart with no slip and a pendulum with only planar motion. The proposed sliding mode controller was based upon a class of nonlinear systems whose nonlinear part of the modeling can be linearly parameterized. The sliding surface was obtained in an explicit form using Ackermann's formula, and then a control law was designed from reachability conditions and made the sliding surface attractive to the equilibrium state of the mobile inverted pendulum. The proposed controller was implemented in a Microchip PIC16F877 micro-controller. The developed overall control system is described. The simulation and experimental results are presented to show the effectiveness of the modeling and controller.

Design of a smart MEMS accelerometer using nonlinear control principles

  • Hassani, Faezeh Arab;Payam, Amir Farrokh;Fathipour, Morteza
    • Smart Structures and Systems
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    • v.6 no.1
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    • pp.1-16
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    • 2010
  • This paper presents a novel smart MEMS accelerometer which employs a hybrid control algorithm and an estimator. This scheme is realized by adding a sliding-mode controller to a conventional PID closed loop system to achieve higher stability and higher dynamic range and to prevent pull-in phenomena by preventing finger displacement from passing a maximum preset value as well as adding an adaptive nonlinear observer to a conventional PID closed loop system. This estimator is used for online estimation of the parameter variations for MEMS accelerometers and gives the capability of self testing to the system. The analysis of convergence and resolution show that while the proposed control scheme satisfies these criteria it also keeps resolution performance better than what is normally obtained in conventional PID controllers. The performance of the proposed hybrid controller investigated here is validated by computer simulation.

Fuzzy Model Identification Using VmGA

  • Park, Jong-Il;Oh, Jae-Heung;Joo, Young-Hoon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.2 no.1
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    • pp.53-58
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    • 2002
  • In the construction of successful fuzzy models for nonlinear systems, the identification of an optimal fuzzy model system is an important and difficult problem. Traditionally, sGA(simple genetic algorithm) has been used to identify structures and parameters of fuzzy model because it has the ability to search the optimal solution somewhat globally. But SGA optimization process may be the reason of the premature local convergence when the appearance of the superior individual at the population evolution. Therefore, in this paper we propose a new method that can yield a successful fuzzy model using VmGA(virus messy genetic algorithms). The proposed method not only can be the countermeasure of premature convergence through the local information changed in population, but also has more effective and adaptive structure with respect to using changeable length string. In order to demonstrate the superiority and generality of the fuzzy modeling using VmGA, we finally applied the proposed fuzzy modeling methodof a complex nonlinear system.

Nonlinear Chemical Plant Modeling using Support Vector Machines: pH Neutralization Process is Targeted (SVM을 이용한 비선형 화학공정 모델링: pH 중화공정에의 적용 예)

  • Kim, Dong-Won;Yoo, Ah-Rim;Yang, Dae-Ryook;Park, Gwi-Tae
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.12
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    • pp.1178-1183
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    • 2006
  • This paper is concerned with the modeling and identification of pH neutralization process as nonlinear chemical system. The pH control has been applied to various chemical processes such as wastewater treatment, chemical, and biochemical industries. But the control of the pH is very difficult due to its highly nonlinear nature which is the titration curve with the steepest slope at the neutralization point. We apply SVM which have become an increasingly popular tool for machine teaming tasks such as classification, regression or detection to model pH process which has strong nonlinearities. Linear and radial basis function kernels are employed and each result has been compared. So SVH based on kernel method have been found to work well. Simulations have shown that the SVM based on the kernel substitution including linear and radial basis function kernel provides a promising alternative to model strong nonlinearities of the pH neutralization but also to control the system.

Life-cycle cost optimization of steel moment-frame structures: performance-based seismic design approach

  • Kaveh, A.;Kalateh-Ahani, M.;Fahimi-Farzam, M.
    • Earthquakes and Structures
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    • v.7 no.3
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    • pp.271-294
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    • 2014
  • In recent years, along with the advances made in performance-based design optimization, the need for fast calculation of response parameters in dynamic analysis procedures has become an important issue. The main problem in this field is the extremely high computational demand of time-history analyses which may convert the solution algorithm to illogical ones. Two simplifying strategies have shown to be very effective in tackling this problem; first, simplified nonlinear modeling investigating minimum level of structural modeling sophistication, second, wavelet analysis of earthquake records decreasing the number of acceleration points involved in time-history loading. In this paper, we try to develop an efficient framework, using both strategies, to solve the performance-based multi-objective optimal design problem considering the initial cost and the seismic damage cost of steel moment-frame structures. The non-dominated sorting genetic algorithm (NSGA-II) is employed as the optimization algorithm to search the Pareto optimal solutions. The constraints of the optimization problem are considered in accordance with Federal Emergency Management Agency (FEMA) recommended design specifications. The results from numerical application of the proposed framework demonstrate the capabilities of the framework in solving the present multi-objective optimization problem.

Fiber element-based nonlinear analysis of concrete bridge piers with consideration of permanent displacement

  • Ansari, Mokhtar;Daneshjoo, Farhad;Safiey, Amir;Hamzehkolaei, Naser Safaeian;Sorkhou, Maryam
    • Structural Engineering and Mechanics
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    • v.69 no.3
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    • pp.243-255
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    • 2019
  • Utilization of fiber beam-column element has gained considerable attention in recent years due mainly to its ability to model distributed plasticity over the length of the element through a number of integration points. However, the relatively high sensitivity of the method to modeling parameters as well as material behavior models can pose a significant challenge. Residual drift is one of the seismic demands which is highly sensitive to modeling parameters and material behavior models. Permanent deformations play a prominent role in the post-earthquake evaluation of serviceability of bridges affected by a near-fault ground shaking. In this research, the influence of distributed plasticity modeling parameters using both force-based and displacement-based fiber elements in the prediction of internal forces obtained from the nonlinear static analysis is studied. Having chosen suitable type and size of elements and number of integration points, the authors take the next step by investigating the influence of material behavioral model employed for the prediction of permanent deformations in the nonlinear dynamic analysis. The result shows that the choice of element type and size, number of integration points, modification of cyclic concrete behavior model and reloading strain of concrete significantly influence the fidelity of fiber element method for the prediction of permanent deformations.