• Title/Summary/Keyword: non-linear problem

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Homogenized elastic properties of graphene for moderate deformations

  • Marenic, Eduard;Ibrahimbegovic, Adnan
    • Coupled systems mechanics
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    • v.4 no.2
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    • pp.137-155
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    • 2015
  • This paper presents a simple procedure to obtain a substitute, homogenized mechanical response of single layer graphene sheet. The procedure is based on the judicious combination of molecular mechanics simulation results and homogenization method. Moreover, a series of virtual experiments are performed on the representative graphene lattice. Following these results, the constitutive model development is based on the well-established continuum mechanics framework, that is, the non-linear membrane theory which includes the hyperelastic model in terms of principal stretches. A proof-of-concept and performance is shown on a simple model problem where the hyperelastic strain energy density function is chosen in polynomial form.

Numerical Shape Optimization for Plate-Fin Type Heat Sink (평판-휜형 방열판의 수치적 형상최적화)

  • 김형렬;박경우;최동훈
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.16 no.3
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    • pp.293-302
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    • 2004
  • In this study the optimization of plate-fin type heat sink for the thermal stability is peformed numerically. The optimum design variables are obtained when the temperature rise and the pressure drop are minimized simultaneously. The flow and thermal fields are predicted using the finite volume method and the optimization is carried out by using the sequential quadratic programming (SQP) method which is widely used in the constrained non-linear optimization problem. The results show that when the temperature rise is less than 34.6K, the optimal design variables are as follows; B$_1$=2.468mm, B$_2$=1.365mm, and t=10.962mm. The Pareto optimal solutions are also presented for the pressure drop and the temperature rise.

A FE2 multi-scale implementation for modeling composite materials on distributed architectures

  • Giuntoli, Guido;Aguilar, Jimmy;Vazquez, Mariano;Oller, Sergio;Houzeaux, Guillaume
    • Coupled systems mechanics
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    • v.8 no.2
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    • pp.99-109
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    • 2019
  • This work investigates the accuracy and performance of a $FE^2$ multi-scale implementation used to predict the behavior of composite materials. The equations are formulated assuming the small deformations solid mechanics approach in non-linear material models with hardening plasticity. The uniform strain boundary conditions are applied for the macro-to-micro transitions. A parallel algorithm was implemented in order to solve large engineering problems. The scheme proposed takes advantage of the domain decomposition method at the macro-scale and the coupling between each subdomain with a micro-scale model. The precision of the method is validated with a composite material problem and scalability tests are performed for showing the efficiency.

Improved BP-NN Controller of PMSM for Speed Regulation

  • Feng, Li-Jia;Joung, Gyu-Bum
    • International journal of advanced smart convergence
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    • v.10 no.2
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    • pp.175-186
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    • 2021
  • We have studied the speed regulation of the permanent magnet synchronous motor (PMSM) servo system in this paper. To optimize the PMSM servo system's speed-control performance with disturbances, a non-linear speed-control technique using a back-propagation neural network (BP-NN) algorithm forthe controller design of the PMSM speed loop is introduced. To solve the slow convergence speed and easy to fall into the local minimum problem of BP-NN, we develope an improved BP-NN control algorithm by limiting the range of neural network outputs of the proportional coefficient Kp, integral coefficient Ki of the controller, and add adaptive gain factor β, that is the internal gain correction ratio. Compared with the conventional PI control method, our improved BP-NN control algorithm makes the settling time faster without static error, overshoot or oscillation. Simulation comparisons have been made for our improved BP-NN control method and the conventional PI control method to verify the proposed method's effectiveness.

Optimization of fuzzy controller for nonlinear buildings with improved charged system search

  • Azizi, Mahdi;Ghasemi, Seyyed Arash Mousavi;Ejlali, Reza Goli;Talatahari, Siamak
    • Structural Engineering and Mechanics
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    • v.76 no.6
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    • pp.781-797
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    • 2020
  • In recent years, there is an increasing interest to optimize the fuzzy logic controller with different methods. This paper focuses on the optimization of a fuzzy logic controller applied to a seismically excited nonlinear building. In most cases, this problem is formulated based on the linear behavior of the structure, however in this paper, four sets of objective functions are considered with respect to the nonlinear responses of the structure as the peak interstory drift ratio, the peak level acceleration, the ductility factor and the maximum control force. The Improved Charged System Search is used to optimize the membership functions and the rule base of the fuzzy controller. The obtained results of the optimized and the non-optimized fuzzy controllers are compared to the uncontrolled responses of the structure. Also, the performance of the utilized method is compared with various classical and advanced optimization algorithms.

LQG modeling and GA control of structures subjected to earthquakes

  • Chen, ZY;Jiang, Rong;Wang, Ruei-Yuan;Chen, Timothy
    • Earthquakes and Structures
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    • v.22 no.4
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    • pp.421-430
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    • 2022
  • This paper addresses the stochastic control problem of robots within the framework of parameter uncertainty and uncertain noise covariance. First of all, an open circle deterministic trajectory optimization issue is explained without knowing the unequivocal type of the dynamical framework. Then, a Linear Quadratic Gaussian (LQG) controller is intended for the ostensible trajectory-dependent linearized framework, to such an extent that robust hereditary NN robotic controller made out of the Kalman filter and the fuzzy controller is blended to ensure the asymptotic stability of the non-continuous controlled frameworks. Applicability and performance of the proposed algorithm shown through simulation results in the complex systems which are demonstrate the feasible to improve the performance by the proposed approach.

The strongest control of thermophoresis coefficient on nanoparticle profile at intermediate gaps: A spinning sphere

  • Sharif, Humaira;Naeem, Muhammad Nawaz;Khadimallah, Mohamed A.;Ayed, Hamdi;Hussain, Muzamal;Alshoaibi, Adil
    • Computers and Concrete
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    • v.29 no.3
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    • pp.201-207
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    • 2022
  • The evaluation of velocity profile for large values of buoyancy parameter and Bioconvected Rayleigh number is examined. The non-linear problem has been tackled numerically by shooting technique. Nanofluid temperature and nanoparticle concentration slightly elevates for increasing values of thermophoresis coefficient. Thickness of thermal boundary layer is significantly increased with thermophoresis coefficient whereas thickness of concentration boundary layer is more slightly enhanced. The response of temperature and nanoparticles concentration is observed due to change in Brownian motion parameter. As Brownian motion parameter increased temperature distribution is slightly enhanced. The reverse behavior is observed in case of nanoparticles concentration. Comparison of numerical technique with the extant literature is made and an acceptable agreement is attained.

A novel of rotating nonlocal thermoelastic half-space with temperature-dependent properties and inclined load using the dual model

  • Samia M. Said
    • Structural Engineering and Mechanics
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    • v.90 no.5
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    • pp.459-466
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    • 2024
  • Eringen's nonlocal thermoelasticity theory is used to study wave propagations in a rotating two-temperature thermoelastic half-space with temperature-dependent properties. Using suitable non-dimensional variables, the harmonic wave analysis is used to convert the partial differential equations to ordinary differential equations solving the problem. The modulus of elasticity is given as a linear function of the reference temperature. MATLAB software is used for numerical calculations. Comparisons are carried out with the results in the context of the dual-phase lag model for different values of rotation, a nonlocal parameter, an inclined load, and an empirical material constant. The distributions of physical fields showed that the nonlocal parameter, rotation, and inclined load have great effects. When a nonlocal thermoelastic media is swapped out for a thermoelastic one, this approach still holds true.

Computation of boundary layer flow of porous medium based on finite difference method

  • Mohamed Amine Khadimallah;Mudassar Jalil;Muzamal Hussain;Elimam Ali
    • Advances in concrete construction
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    • v.17 no.1
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    • pp.37-43
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    • 2024
  • In this paper, boundary layer flow is observed through stretching cylinder exponentially with non-linear velocity. This cylinder is rested in porous medium. Appropriate similarity transformation is employed for the conversion of governing PDEs into ODEs. To compute the problem and solution series numerical method is applied and evaluated by using finite difference Keller-Box method. The velocity ratio, permeability parameter, Reynold number is figure out to examine the effect of on velocity profile. Fluid velocity and skin friction coefficient goes down with increment of Reynold number and permeability parameter. While reverse behavior is reported for velocity ratio. The results are validated with earlier investigations and found very well.

Optimal Forest Management Planning for Carbon Sequestration and Timber Production Using Multiobjective Linear Programming (탄소저장(炭素貯藏) 및 목재생산효과(木材生産效果) 중심(中心)의 산림경영계획(山林經營計劃)을 위한 다목적(多目的) 선형계획법(線型計劃法)의 응용(應用))

  • Park, Eun Sik;Chung, Joo Sang
    • Journal of Korean Society of Forest Science
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    • v.89 no.3
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    • pp.335-341
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    • 2000
  • In this study, the multiobjective linear programming (MOLP) formulation was built to solve for the optimal forest management planning considering carbon sequestration and timber production simultaneously. The formulation was applied to a case study problem to investigate the trends of the optimal forest harvest schedules as the function of preference of forest management for carbon sequestration and timber production. The study site was Mt. Kari area in Hongchun. The formulation includes several site-specific constraints for non-declining yields, upper and lower bounds of cut volume and area for timber, ending inventory conditions, etc.. According to the changes of weight combinations for timber production and carbon sequestration, the joint production possibilities curve was proposed as the option for management choice.

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