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The First Alternative of the Optimal Auxiliary Functions Method
Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 2021In this chapter, we will actually solve the Eq. (2.13) from which the first approximation \(u_{1} (x,C_{i} )\) can be determined.
Vasile Marinca +2 more
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Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems
2021Vasile Marinca +2 more
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Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 2021
In this Chapter, we will present some particular cases in which we can determine exact solutions to nonlinear dynamical systems. More precisely, for nonlinear dynamical systems given by the nonlinear differential equation.
Vasile Marinca +2 more
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In this Chapter, we will present some particular cases in which we can determine exact solutions to nonlinear dynamical systems. More precisely, for nonlinear dynamical systems given by the nonlinear differential equation.
Vasile Marinca +2 more
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2020
The optimal auxiliary functions method is implemented in this paper to derive an analytical approximate solution for the problem of nonlinear vibrations of doubly clamped nanobeam incorporating the Casimir force. A closed form solution is obtained. This model accounts for the inherent nonlinearity of the Casimir force and the geometric nonlinearity of ...
Vasile Marinca, Nicolae Herisanu
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The optimal auxiliary functions method is implemented in this paper to derive an analytical approximate solution for the problem of nonlinear vibrations of doubly clamped nanobeam incorporating the Casimir force. A closed form solution is obtained. This model accounts for the inherent nonlinearity of the Casimir force and the geometric nonlinearity of ...
Vasile Marinca, Nicolae Herisanu
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2018
Rotating electrical machines are widely used in engineering and industry applications due to their reliability. The machines under study are subjected to a parametric excitation caused by an inertial thrust and a forcing excitation caused by an unbalanced force of the rotor while the entire system is being supported by nonlinear bearings with nonlinear
Nicolae Herisanu, Vasile Marinca
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Rotating electrical machines are widely used in engineering and industry applications due to their reliability. The machines under study are subjected to a parametric excitation caused by an inertial thrust and a forcing excitation caused by an unbalanced force of the rotor while the entire system is being supported by nonlinear bearings with nonlinear
Nicolae Herisanu, Vasile Marinca
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Physical Chemistry, Chemical Physics - PCCP, 2022
A density inversion method is presented, to obtain the constrained, optimal, local potential that has a prescribed asymptotic behaviour and reproduces optimally any given ground-state electronic density. This work builds upon the method of [Callow et al.,
S. Bousiadi +2 more
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A density inversion method is presented, to obtain the constrained, optimal, local potential that has a prescribed asymptotic behaviour and reproduces optimally any given ground-state electronic density. This work builds upon the method of [Callow et al.,
S. Bousiadi +2 more
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Reliability Evaluation and Maintenance Planning for Systems With Load-Sharing Auxiliary Components
IEEE Transactions on Reliability, 2023In many engineering systems, aside from the main component fulfilling the essential functions, a number of auxiliary components are configured to protect the main component and improve the reliability of the system.
Xiayu Cai, Jingyuan Shen, Lijuan Shen
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ISA transactions, 2020
This paper addresses a missile-target interception guidance process considering acceleration saturation and target maneuver as a constrained nonlinear tracking issue.
Jingliang Sun, Chunsheng Liu
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This paper addresses a missile-target interception guidance process considering acceleration saturation and target maneuver as a constrained nonlinear tracking issue.
Jingliang Sun, Chunsheng Liu
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International Journal of Emerging Multidisciplinaries: Mathematics, 2022
This paper extends the application of Optimal Auxiliary Function Method (OAFM) to the system of integral equations. The system of Volterra integral equations of second kind are taken as test examples. The results obtained by proposed method are compared with different methods i.e., Biorthogonal systems in a Banach space Fixed point, the implicit ...
Laiq Zada, Falak Naz, Rashid Nawaz
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This paper extends the application of Optimal Auxiliary Function Method (OAFM) to the system of integral equations. The system of Volterra integral equations of second kind are taken as test examples. The results obtained by proposed method are compared with different methods i.e., Biorthogonal systems in a Banach space Fixed point, the implicit ...
Laiq Zada, Falak Naz, Rashid Nawaz
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A new global optimization technique by auxiliary function method in a directional search
Optimization Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ŞAHİNER, Ahmet, Ibrahem, Shehab A.
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