Application of AG method and its improvement to nonlinear damped oscillators

Mohammadian, Mostafa; Shariati, Mahmoud

doi:10.24200/sci.2018.21093

Cited by 4 publications

(3 citation statements)

References 31 publications

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“…10 −2 M silver nitrate was added to the supernatant to finally obtain a 10 −3 M solution. The synthesis occurred under a halogen-tungsten lamp and provided the opportunity to obtain 5-60 nm NPs [59].…”

Section: Fusarium Oxysporum Nps Synthesismentioning

confidence: 99%

Fungal synthesis of size-defined nanoparticles

Zielonka

Klimek‐Ochab

2017

Adv. Nat. Sci: Nanosci. Nanotechnol.

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[7] and silica oxide [8] NPs, which can be produced by mycofabrication-(NPs synthesis systems using fungi). Apart from fungi, there is a variety of microorganisms producing NPs, such as many bacteria, biofilms [9], actinomycetes [10] and extremophiles [11]. Apart from bacteria, fungi are a favorable option for NPs synthesis. Fungi are filamentous by nature and able to withstand the pressure of flow and mixing in the bioreactor trough. In addition, they can accumulate metals by biological and physicochemical means. Fungi are an excellent choice for large-scale production as biocatalysts because of their ability to secrete extracellular enzymes [7]. By contrast, the bacterial fermentation process involves numerous additional steps to obtain a clear filtrate of colloidal broth [12].In this review we discuss strategies for NP synthesis with emphasis on the bottom-up myco-approach and its application and flexibility for use in many industrial fields. Our focus is on aspects related to the size of NPs and methods of measuring this feature. It has been discovered that fungi can efficiently synthesize clusters of atoms of a determined size. We also reviewed NPs produced by Fusarium oxysporum (F. oxysporum), which remains the invincible leader in this field. NPs synthesis strategiesToday, NPs are produced by numerous chemical and physical methods, although more environmentally friendly methods are available. Bottom-up and top-down are two strategies for the synthesis of metal NPs as shown in figure 1. The bottom-up strategy relates to the formation of structures atom by atom, molecule by molecule or by self-organization [13]. Top-down strategy includes the reduction of material to dimensions of AbstractFungi with metabolic capacities can efficiently synthesize a wide range of nanoparticles (NPs). This biotransformation process and its product have extensive applications especially for industry, agriculture and medicine, where NPs size and shape is essential and can be defined by specific analytical methods. Fungi cultivation and further bioconversion can be fully controlled to obtain the desired nanoparticles. Additionally, this review provides information about the fungus F. oxysporum, which is able to synthesize the largest amount of different types of NPs.

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Section: Fusarium Oxysporum Nps Synthesismentioning

confidence: 99%

Fungal synthesis of size-defined nanoparticles

Zielonka

Klimek‐Ochab

2017

Adv. Nat. Sci: Nanosci. Nanotechnol.

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“…Their study offers an efficient approach to rapidly establish the amplitude-frequency correlation of a nonlinear oscillator. The investigation conducted by Mohammadian and colleagues 24 focused on examining the applicability of the AGM and its enhancement for nonlinear damped oscillators. In 2021, El-Dib 25 utilized the HPM technique in conjunction with a rank-upgrading approach to achieve superior results in nonlinear oscillation.…”

Section: Introductionmentioning

confidence: 99%

Critical analysis for nonlinear oscillations by least square HPM

Rafiq,

Kamran,

Ahmad

et al. 2024

Sci Rep

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In this study, a novel adapted homotopy perturbation method (HPM) is used to treat the nonlinear phenomena of free vibration in a system with one degree of freedom. This adaptation involves the integration of HPM with a least-squares optimizer, resulting in a hybrid method called the least square homotopy perturbation method (LSHPM). The LSHPM is tested on various nonlinear problems documented in the existing literature. To evaluate the effectiveness of the proposed approach, the identified problems are also tackled using HPM and the MATLAB built-in function bvp5c, and then the results are compared with those obtained using LSHPM. In addition, a comparative analysis is carried out with the results of the AG method as found in the literature. The results show that LSHPM is a reliable and efficient method suitable for solving more complicated initial value problems in the fields of science and engineering.

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“…Since proposed by Benzi et al (1981) as an explanation of the observed periodicity in the ice ages on earth, stochastic resonance (SR) has officially entered scholar’s vision. Compared with traditional methods (Blanco-Velasco et al, 2008; Fan and Zheng, 2007; Grafov and Grafova, 2000; Mohammadian and Shariati, 2018), which were limited to expensive equipment and low signal-to-noise ratio (SNR), SR has become a research hotspot for its great advantages.…”

Section: Introductionmentioning

confidence: 99%

Research and application of tristable stochastic resonance based on harmonic and pinning potential model

Liu

Zhang

2022

Journal of Vibration and Control

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In view of the unique potential barrier and complex potential function of the pining model, as well as the lack of researches on two-dimensional stochastic resonance, two new potential tristable models are proposed: one-dimensional tristable model and two-dimensional tristable model. The stochastic resonance mechanism and application of two potential systems under Gaussian white noise and weak external driving force are discussed and the differences and advantages of the two systems are analyzed in detail for the first time. First, the potential function and mean first passage time are analyzed. Second, according to the linear response theory, the probability flow method is used to calculate the spectral amplification. The effects of system parameters on spectral amplification of the two models are studied, and the two models are compared. Finally, the two models are applied to the detection of actual bearing fault signals together with the classical tristable system and the performance is compared. Both algorithms can detect fault signals effectively, but the two-dimensional model has better amplitude and difference, and the one-dimensional model has less interference burrs. The theoretical basis and reference value of the system are provided for further application in practical engineering testing.

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Application of AG method and its improvement to nonlinear damped oscillators

Cited by 4 publications

References 31 publications

Fungal synthesis of size-defined nanoparticles

Fungal synthesis of size-defined nanoparticles

Critical analysis for nonlinear oscillations by least square HPM

Research and application of tristable stochastic resonance based on harmonic and pinning potential model

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