Nonlinear stochastic vibration of GPRMF cylindrical shell with harmonic and white noise excitations

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-04 DOI:10.1016/j.cnsns.2025.108592

Liyuan Wang, Dongxu Cao, Jiayang Gu

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引用次数: 0

Abstract

This study focuses on analyzing the behavior of a graphene platelet reinforced metal foams (GPRMF) cylindrical shell under both harmonic and random excitation using advanced stochastic methods. A nonlinear stochastic differential equation describes the shell's random vibration, and the probability density function (PDF) of the vibration response is calculated using the random integral approach. The methodology demonstrates high accuracy in capturing the system's dynamic properties. The impact of external excitation frequency on the marginal and joint PDFs is thoroughly examined. The study shows that external excitation frequency significantly impacts the marginal and joint probability density functions of the vibration response. By utilizing the amplitude response curve under pure harmonic excitation, the stochastic vibration behavior under combined harmonic and white noise excitations can be effectively predicted. The study further explores the effects of random excitation strength and other parameters on the vibration response, providing insights into the displacement response and its statistical characteristics. The results validate the methods employed and highlight their capability in accurately predicting the complex dynamic behavior of GPRMF cylindrical shells.

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谐波和白噪声激励下GPRMF圆柱壳的非线性随机振动

采用先进的随机方法分析了石墨烯血小板增强金属泡沫（GPRMF）圆柱壳在谐波和随机激励下的行为。用非线性随机微分方程描述了壳体的随机振动，并采用随机积分法计算了壳体振动响应的概率密度函数。该方法在捕捉系统动态特性方面具有较高的准确性。研究了外部激励频率对边缘和结合部PDFs的影响。研究表明，外激励频率对振动响应的边际函数和联合概率密度函数有显著影响。利用纯谐波激励下的幅值响应曲线，可以有效地预测谐波和白噪声联合激励下的随机振动行为。研究进一步探讨了随机激励强度等参数对振动响应的影响，深入了解了位移响应及其统计特征。结果验证了所采用的方法，并突出了其准确预测GPRMF圆柱壳复杂动力行为的能力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.