Stationary Response of Non-Linear System with Caputo-Type Fractional Derivative Damping Under Gaussi

来源 :第九届全国随机振动理论与应用学术会议暨第三届全国随机动力学学术会议 | 被引量 : 0次 | 上传用户：lgwfzc

【摘要】

：

【作者】

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Yongge Yang Wei Xu Wantao Jia Qun Han

【机构】

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Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, 710072, PR China

【出处】

：

第九届全国随机振动理论与应用学术会议暨第三届全国随机动力学学术会议

【发表日期】

：

2014年8期

【关键词】

：

Caputo stochastic averaging method response predictor-corrector

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　　This paper aims to investigate the response of single-degree-of-freedom (SDOF) system with Caputo-type fractional derivative damping term under Gaussian white noise excitation.First, the approximately analytical solution of the system is obtained by using the stochastic averaging method.Then, an effective algorithm for the solution of initial value problems with Caputo derivative is briefly introduced.At last, in order to certify the validity of the analytical solution, two examples are worked out in detail.A very satisfactory agreement is found between the analytical results and the Monte Carlo simulation of original systems.

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Stationary Response of Non-Linear System with Caputo-Type Fractional Derivative Damping Under Gaussi

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