DSC  >> Vol. 5 No. 3 (July 2016)

    Computation of the Simplest Normal Form and Its Application

  • 全文下载: PDF(810KB) HTML   XML   PP.86-95   DOI: 10.12677/DSC.2016.53010  
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陈淑萍:厦门理工学院应用数学学院,福建 厦门

功能梯度材料规范形稳定性非线性变换Functionally Graded Materials Normal Form Stability Nonlinear Transformations



This paper presents a new computation method for obtaining a significant refinement of the sim-plest normal form for four dimensional nonlinear systems. The formulae are derived, which can be used to compute the coefficients of the simplest normal form and the associated nonlinear transformation. By using the simplest normal form theory, the stability analysis of a simply-sup- ported functionally graded materials (FGMs) rectangular plate subject to the transversal and in- plane excitations is investigated. It is seen that the stability is exhibited under certain circum-stances. The fourth-order Runge-Kutta algorithm is utilized to do numerical simulation of the sta-bility behavior of the FGM rectangular plate.

陈淑萍. 最简规范形的计算及其应用[J]. 动力系统与控制, 2016, 5(3): 86-95. http://dx.doi.org/10.12677/DSC.2016.53010


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