System reliability analyses of static and dynamic structures via direct probability integral method

Chen, Guohai; Yang, Dan; Liu, Yunhe; Guo, Hongchao

doi:10.1016/j.cma.2021.114262

Cited by 39 publications

(3 citation statements)

References 60 publications

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“…To acquire the precise solution for nonlinear physical models, several robust and efficient techniques [4,5], were established, and these techniques are the Hirota bilinear technique [6], the F-expansion technique [7], the sinh-Gordon function technique [8], the Darboux transformation technique [9], new ϕ 6 -model expansion approach [10], the modified extended tanh-function technique [11,12], the sin-cosine technique [13] and several others. More recently, several approaches have also been considered for various lump solutions [14,15]. The modified Sardar sub-equation approach [16,17] is a relatively new mathematical method, that has been applied to a range of NLPDEs.…”

Section: Introductionmentioning

confidence: 99%

Dynamical perspective of bifurcation analysis and soliton solutions to (1+1)-dimensional nonlinear perturbed Schrödinger model

Javed,

Ali,

Muhammad

2024

Preprint

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This work simulates the (1+1)-dimensional nonlinear perturbed Schrödinger model (NLPSM). This model has various applications in mathematical physics and engineering, including hydrodynamics, elastic media, nonlinear optical fiber communication, and plasma physics. There are two primary goals for the study. First, it seeks to find unique soliton solutions such as solitary, dark, periodic, and plane wave solutions that haven’t been found in the literature before using the modified Sardar sub-equation approach (MSSEA). Second, a novel approach to analysis called bifurcation analysis is used to investigate the dynamic behavior of the model. Physical compatibility findings are supported by density, 3-D, and 2-D illustrations made with parametric variables. The analysis shows that the approach used to quickly acquire complete and typical answers was successful. This approach works well for solving challenging problems in physics, engineering, mathematics and fiber optic phenomena.

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Section: Introductionmentioning

confidence: 99%

Dynamical perspective of bifurcation analysis and soliton solutions to (1+1)-dimensional nonlinear perturbed Schrödinger model

Javed,

Ali,

Muhammad

2024

Preprint

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“…For example, a high-quality automobile is one that is fuel-efficient, simple to run and safe. Using the direct probability integral method (DPIM), Chen et al . (2022) offered a study for the universal approaching system's reliability issues with static and dynamic architecture.…”

Section: Introductionmentioning

confidence: 99%

“…For example, a highquality automobile is one that is fuel-efficient, simple to run and safe. Using the direct probability integral method (DPIM), Chen et al (2022) offered a study for the universal approaching system's reliability issues with static and dynamic architecture. In the beginning, the combined probability density function (PDF) of several performance functions is used to develop the static and first-passage dynamic reliability formulas for the series, parallel and mixed systems.…”

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confidence: 99%

Signature reliability scrutiny of domestic refrigerator

Naaz

Ram

Kumar

2023

IJQRM

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PurposeThe purpose of this paper is to evaluate the reliability and structure function of refrigeration complex system consisted of four components in complex manner.Design/methodology/approachAlthough, a variety of methodologies have been used to assess the refrigeration system's reliability function that has proven to be effective, the universal generating function approach is the basis of this research study, which is used in the calculation of a domestic refrigeration system with four separate components that are related in series and parallel with a corresponding sample to form a complex machine.FindingsIn this paper, signature reliability of the refrigeration system has been evaluated with the universal generating function technique. There are four components present in the proposed system in complex (series and parallel) manner. The tail signature, signature, Barlow–Proschan index, expected lifetime and expected cost of independent identically distributed are all computed.Originality/valueThis is the first study of domestic refrigeration system to examine the signature reliability with the help of universal generating function techniques with various measures. Refrigeration systems are an essential process in industries and home applications as they perform cooling or the maintain temperature at the desired value. A cycle of refrigeration consists of four main components such as, heat exchange, compression and expansion with a refrigerant flowing through the units within the cycle.

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Efficiency Assessment System Based on Analytical Approach for Sustainable Development of Transport Logistics

Strimovskaya

Sinko

Tsyplakova

2023

Lecture Notes in Networks and Systems

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System reliability analyses of static and dynamic structures via direct probability integral method

Cited by 39 publications

References 60 publications

Dynamical perspective of bifurcation analysis and soliton solutions to (1+1)-dimensional nonlinear perturbed Schrödinger model

Dynamical perspective of bifurcation analysis and soliton solutions to (1+1)-dimensional nonlinear perturbed Schrödinger model

Signature reliability scrutiny of domestic refrigerator

Efficiency Assessment System Based on Analytical Approach for Sustainable Development of Transport Logistics

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