A new approach for non‐Gaussian vibration analysis of hyperbolic tangent package with a critical component

Yang, Songping; Su, Ri‐Qing; Wang, Zhiwei; Chen, Yu

doi:10.1002/mma.8883

Cited by 2 publications

(2 citation statements)

References 33 publications

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“…In a word, the acceleration response is usually investigated through experimental test and numerical simulation methods (Wang and Zhong, 2020; Yang et al, 2022). Analytical PDF of acceleration random response for cubic nonlinear product package has seldomly been investigated due to the difficulty of solving nonlinear random problem and less attention paid to the acceleration response.…”

Section: Introductionmentioning

confidence: 99%

Reliability analysis for product package via probability density function of acceleration random response

Yang

Liu

2023

Journal of Vibration and Control

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Analytical probability density function of acceleration random response for cubic nonlinear product package has seldomly been investigated due to the difficulty of solving nonlinear random problem and less attention paid to the acceleration response. In this paper, the analytical solution for the probability density function of linear package acceleration response under random vibration is obtained, and on this basis, the equivalent linearization method is introduced to further explore the approximate analytical solution of acceleration response probability density function for cubic nonlinear product package under random vibration. Some suggestions on packaging optimal design are given by analyzing the sensitivity of acceleration random response to the external excitation and system parameters, and the first-passage failure probability for the acceleration response of cubic nonlinear package under random vibration is analyzed. The results show that the equivalent linearization method can precisely predict the acceleration response probability density function for the cubic nonlinear package under certain conditions, and the applicable range of the method is given by the equivalent stiffness formula. Nonlinear characteristic parameter [Formula: see text] of the cubic package activates acceleration response a completely different trend from the quasi-linear system. Properly increasing the system stiffness and decreasing the damping ratio can effectively reduce the acceleration response strength of the product package. As the vibration time increases and the product fragility decreases, the first-passage failure probability of the product package increases. The analysis provides theoretical foundation and guidance for packaging optimization design.

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Section: Introductionmentioning

confidence: 99%

Reliability analysis for product package via probability density function of acceleration random response

Yang

Liu

2023

Journal of Vibration and Control

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“…In one of them, it is applied to fully randomize non‐homogeneous second‐order linear difference equations, assuming that its data (initial conditions, coefficients, and forcing term) are random variables [38]. A new approach, based on Hermite polynomials and Gaussian mixture model theory, is derived to analyze the non‐Gaussian random vibration of hyperbolic tangent package in another paper [39]. An issue focuses in an artificial neural network model, developed using data from an appropriate statistical model, and shows it to be an excellent tool to estimate reliability measures, under different scenarios [40].…”

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confidence: 99%

Editorial of the special issue on modelling, analysis, and applications

Pinto,

Zeidan,

Cortés‐Lopéz

et al. 2023

Math Methods in App Sciences

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This special issue of the Journal Mathematical Methods in the Applied Sciences on the topic of Modelling, Analysis, and Applications is devoted to the development of mathematical modelling, analysis, and applications, from theoretical and numerical perspectives, involving different applied sciences and engineering. It collects invited contributions, from selected quality full papers submitted to the International Conference on Mathematical Analysis and Applications in Science and Engineering (ICMA2SC2022). The conference took place in Porto, Portugal in 27–29 June 2022 (https://www.isep.ipp.pt/Page/ViewPage/ICMASC).

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A new approach for non‐Gaussian vibration analysis of hyperbolic tangent package with a critical component

Cited by 2 publications

References 33 publications

Reliability analysis for product package via probability density function of acceleration random response

Reliability analysis for product package via probability density function of acceleration random response

Editorial of the special issue on modelling, analysis, and applications

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