A Numerical Method for Calculation of Structural Jerk Responses

LI Yan-ting; XU Ji-qing; XU Xi-bin; PU Yan-ru

doi:10.21656/1000-0887.370181

Volume 38 Issue 8

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LI Yan-ting, XU Ji-qing, XU Xi-bin, PU Yan-ru. A Numerical Method for Calculation of Structural Jerk Responses[J]. Applied Mathematics and Mechanics, 2017, 38(8): 922-931. doi: 10.21656/1000-0887.370181

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A Numerical Method for Calculation of Structural Jerk Responses

doi: 10.21656/1000-0887.370181

¹School of River & Ocean Engineering, Chongqing Jiaotong University, Chongqing 400074, P.R.China;²National Engineering Research Center for Inland Waterway Regulation(Chongqing Jiaotong University); Key Laboratory of Hydraulic & Waterway Engineering of the Ministry of Education, Chongqing Jiaotong University, Chongqing 400074, P.R.China)

Received Date: 2016-06-06
Rev Recd Date: 2017-03-01
Publish Date: 2017-08-15

Abstract

Abstract

Jerk is of great significance in engineering practice. A numerical method for solving jerk responses was constructed through combination of the radial basis function (RBF) approximation and the collocation method. The proposed method was used to calculate the jerk and the 3rd-order jerk equations, and the RBF interpolation was adopted to approximate the real motion rule, which made good the defect that the traditional methods can’t be used to calculate the jerk. Aimed at the numerical characteristics of the dynamic differential equations, an improved RBF expression of multivariable joint interpolation combining the all-order derivatives of the variable was presented. The initial-value condition of the same order with the differential equation was added to obviously decrease the numerical oscillation. The results of the numerical examples indicate that the proposed method has the advantages of a simple calculation process, high accuracy and high applicability to jerk equations.
- jerk,
- radial basis function,
- structural dynamic response,
- initial-value problem,
- jerk equation

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References(23)

References

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