• Title/Summary/Keyword: Nonlinear Design

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Nonlinear analysis of contemporary and historic masonry vaulted elements externally strengthened by FRP

  • Hamdy, Gehan A.;Kamal, Osama A.;El-Hariri, Mohamed O.R.;El-Salakawy, Tarik S.
    • Structural Engineering and Mechanics
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    • v.65 no.5
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    • pp.611-619
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    • 2018
  • This paper addresses numerical modeling and nonlinear analysis of unreinforced masonry walls and vaults externally strengthened using fiber reinforced polymers (FRP). The aim of the research is to provide a simple method for design of strengthening interventions for masonry arched structures while considering the nonlinear behavior. Several brick masonry walls and vaults externally strengthened by FRP which have been previously tested experimentally are modeled using finite elements. Numerical modeling and nonlinear analysis are performed using commercial software. Description of the modeling, material characterization and solution parameters are given. The obtained numerical results demonstrate that externally applied FRP strengthening increased the ultimate capacity of the walls and vaults and improved their failure mode. The numerical results are in good agreement with the experimentally obtained ultimate failure load, maximum displacement and crack pattern; which demonstrates the capability of the proposed modeling scheme to simulate efficiently the actual behavior of FRP-strengthened masonry elements. Application is made on a historic masonry dome and the numerical analysis managed to explain its structural behavior before and after strengthening. The modeling approach may thus be regarded a practical and valid tool for design of strengthening interventions for contemporary or historic unreinforced masonry elements using externally bonded FRP.

Research on the Design of Helicopter Nonlinear Optimal Controller using SDRE Technique (SDRE 기법을 이용한 헬리콥터 비선형 최적제어기 설계 연구)

  • Yang, Chang-Deok;Kim, Min-Jae;Lee, Jung-Hwan;Hong, Ji-Seung;Kim, Chang-Joo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.12
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    • pp.1152-1162
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    • 2008
  • This paper deals with the State-Dependent Riccati Equation (SDRE) technique for the design of helicopter nonlinear flight controllers. Since the SDRE controller requires a linear system-like structure for nonlinear motion equations, a state-dependent coefficient (SDC) factorization technique is developed in order to derive the conforming structure from a general nonlinear helicopter dynamic model. Also on-line numerical methods of solving the algebraic Riccati equation are investigated to improve the numerical efficiency in designing the SDRE controllers. The proposed method is applied to trajectory tracking problems of the helicopter and computational tips for a real time application are proposed using a high fidelity rotorcraft mathematical model.

Stabilization of Underwater Glider by Buoyancy and Moment Control: Feedback Linearization Approach (부력 및 모멘트 제어를 이용한 수중글라이더의 안정화: 피드백 선형화 접근법)

  • Jee, Sung Chul;Lee, Ho Jae;Kim, Moon Hwan;Moon, Ji Hyun
    • Journal of Ocean Engineering and Technology
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    • v.28 no.6
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    • pp.546-551
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    • 2014
  • This paper addresses a feedback linearization control problem for the nonlinear dynamics of an underwater glider system. We consider the buoyancy and moment as control inputs, which come from the mass variation and elevator control, respectively. Moment-to-force coupling increases the nonlinearities, which make the controller design difficult. By using a feedback linearization technique, we convert the nonlinear underwater glider to an equivalent linear model and design a linear controller. The controller for the equivalent converted linear system is designed using sufficient conditions in terms of linear matrix inequalities. Then, the control input of the nonlinear model of an underwater glider is formulated from the linear control input. An experimental examination is implemented to verify the effectiveness of the proposed technique.

Design and DSP-based Implementation of Robust Nonlinear Speed Control of Permanent Magnet Synchronous Motor (영구자석 동기전동기의 강인 비선형 속도제어기의 설계 및 DSP에 기반한 구현)

  • 백인철;김경화;윤명중
    • The Transactions of the Korean Institute of Power Electronics
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    • v.4 no.1
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    • pp.1-12
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    • 1999
  • A design and DSP-based implementation of robust nonlinear speed control of a permanent magnet synchronous motor(PMSM) under the unknown parameter variations and speed measurement error is presented. The model reference adaptive system(MRAS) based adaptation mechanisms for the estimation of slowly varying parameters are derived using the MIT rule. For the disturbances or quickly varying parameters, a quasilinearized and decoupled model which includes the influence of parameter variations and speed measurement error on the nonlinear speed control of a PMSM is derived. Based on this model, a boundary layer integral sliding mode controller to improve the robustness and performance of the nonlinear speed control of a PMSM is designed and compared with the conventional controller which employs Proportional plus Derivative(PD) control. To show the validity of the proposed scheme, simulations and DSP-based experimental works are carried out and compared with the conventional control scheme.

Nonlinear Analysis and Design of Rectangular Damper (직사각형 댐퍼의 비선형 해석 및 설계)

  • Eom, Seung Hyeon;Kim, Won Ki
    • Journal of Korean Society of Steel Construction
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    • v.15 no.4 s.65
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    • pp.447-456
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    • 2003
  • In this study, the proper shape of dampers was determined when the outside frame formed a rectangle. The proper shape of dampers is rectangular, having the same ratio as the outside frame. The design was based on the impact energy dissipated by the seismic performance of the mainly rectangular dampers. This study sought to compare both strength and energy dissipation between nonlinear analysis data and experimental data through load-displacement curves. The use of the ANSYS FEM software was suggested to analyze the nonlinear behavior of rectangular dampers subjected to cyclic loading. The target of this study was to determine what shape was efficient for rectangular tensile brace dampers. The safety of the developed rectangular dampers was also checked for better fabrication.

Comparison of Nonlinear Analysis Programs for Small-size Reinforced Concrete Buildings II (소규모 철근콘크리트 건축물을 위한 비선형해석 프로그램 비교 II)

  • Yoo, Changhwan;Kim, Taewan;Park, Hong-Gun
    • Journal of the Earthquake Engineering Society of Korea
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    • v.19 no.5
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    • pp.229-238
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    • 2015
  • For small-size reinforce-concrete buildings, Midas Gen, OpenSees, and Perform-3D, which are structural analysis programs that are most popularly used at present, were applied for nonlinear static pushover analysis, and then difference between those programs was analyzed. Example buildings were limited to 2-story frames with irregular shaped walls. Analysis result showed that there were more differences than for frames only and frames with rectangular walls, but it was not so significant. Nevertheless, the capacity curve were different in some buildings, which is attributed to shape and location of walls, and feature of the analysis program. Especially, selection of automatic or manual input in Midas Gen, or nonlinear wall elements in Perform3D can affect the capacity curve and performance of the buildings. Therefore, the program users should understand the feature of the program well, and then conduct performance assessment. The result of this study is limited to low-story buildings so that it should be noted that it is possible to get different results for mid- to high-rise buildings.

Quasi-LQG/$H_{infty}$/LTR Control for a Nonlinear Servo System with Coulomb Friction and Dead-zone

  • Han, Seong-Ik
    • International Journal of Precision Engineering and Manufacturing
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    • v.1 no.2
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    • pp.24-34
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    • 2000
  • In this paper we propose a controller design method, called Quasi-LQG/$H_{\infty}$/LTR for nonlinear servo systems with hard nonlinearities such as Coulomb friction, dead-zone. Introducing the RIDF method to model Coulomb friction and dead-zone, the statistically linearized system is built. Then, we consider $H_{\infty}$ performance constraint for the optimization of statistically linearized systems, by replacing a covariance Lyapunov equation into a modified Riccati equation of which solution leads to an upper bound of the LQG performance. As a result, the nonlinear correction term is included in coupled Riccati equation, which is generally very difficult to thave a numerical solution. To solve this problem, we use the modified loop shaping technique and show some analytic proofs on LTR condition. Finally, the Quasi-LQG/$H_{\infty}$/LTR controller for a nonlinear system is synthesized by inverse random input describing function techniques (ITIDF). It is shown that the proposed design method has a better performance robustness to the hard nonlinearity than LQG/$H_{\infty}$/LTR method via simulations and experiments for the timing-belt driving servo system that contains the Coulomb friction and dead-zone.

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Locally Optimal and Robust Backstepping Design for Systems in Strict Feedback Form with $C^1$ Vector Fields

  • Back, Ju-Hoon;Kang, Se-Jin;Shim, Hyung-Bo;Seo, Jin-Heon
    • International Journal of Control, Automation, and Systems
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    • v.6 no.3
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    • pp.364-377
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    • 2008
  • Due to the difficulty in solving the Hamilton-Jacobi-Isaacs equation, the nonlinear optimal control approach is not very practical in general. To overcome this problem, Ezal et al. (2000) first solved a linear optimal control problem for the linearized model of a nonlinear system given in the strict-feedback form. Then, using the backstepping procedure, a nonlinear feedback controller was designed where the linear part is same as the linear feedback obtained from the linear optimal control design. However, their construction is based on the cancellation of the high order nonlinearity, which limits the application to the smooth ($C^{\infty}$) vector fields. In this paper, we develop an alternative method for backstepping procedure, so that the vector field can be just $C^1$, which allows this approach to be applicable to much larger class of nonlinear systems.

A Highly Efficient Broadband Class-E Power Amplifier with Nonlinear Shunt Capacitance

  • Dang-Duy, Ninh;Ha-Van, Nam;Jeong, Daesik;Kim, Dong Hwan;Seo, Chulhun
    • Journal of electromagnetic engineering and science
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    • v.17 no.4
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    • pp.221-227
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    • 2017
  • A new approach to designing a broadband and highly efficient class-E power amplifier based on nonlinear shunt capacitance analysis is proposed. The nonlinear shunt capacitance method accurately extracts optimum class-E power amplifier parameters, including an external shunt capacitance and an output impedance, at different frequencies. The dependence of the former parameter on the frequency is considered to select an optimal value of external shunt capacitor. Then, upon determining the latter parameter, an output matching network is optimized to obtain the highest efficiency across the bandwidth of interest. An analytical approach is presented to design the broadband class-E power amplifier of a MOSFET transistor. The proposed method is experimentally verified by a 140-170 MHz class-E power amplifier design with maximum added power efficiency of 82% and output power of 34 dBm.

Evaluation of the seismic performance of special moment frames using incremental nonlinear dynamic analysis

  • Khorami, Majid;Khorami, Masoud;Motahar, Hedayatollah;Alvansazyazdi, Mohammadfarid;Shariati, Mahdi;Jalali, Abdolrahim;Tahir, M.M.
    • Structural Engineering and Mechanics
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    • v.63 no.2
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    • pp.259-268
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    • 2017
  • In this paper, the incremental nonlinear dynamic analysis is used to evaluate the seismic performance of steel moment frame structures. To this purpose, three special moment frame structure with 5, 10 and 15 stories are designed according to the Iran's national building code for steel structures and the provisions for design of earthquake resistant buildings (2800 code). Incremental Nonlinear Analysis (IDA) is performed for 15 different ground motions, and responses of the structures are evaluated. For the immediate occupancy and the collapse prevention performance levels, the probability that seismic demand exceeds the seismic capacity of the structures is computed based on FEMA350. Also, fragility curves are plotted for three high-code damage levels using HASUS provisions. Based on the obtained results, it is evident that increase in the height of the frame structures reduces the reliability level. In addition, it is concluded that for the design earthquake the probability of exceeding average collapse prevention level is considerably larger than high and full collapse prevention levels.9.