摘要
详细论述一种舰船非线性隔振装置物理和数学模型的建立过程,选用数值方法中的四阶变步长龙格库塔法对数学模型进行仿真计算,利用Mathematica软件实现算法;对解的谱特性做了仿真研究,并分析了谱特性。大量的谱分析表明,随着非线性作用的增强,依次出现奇数阶超谐波分岔,对称破缺分岔,次谐波分岔,次谐波分量也会发生超谐波分岔和次谐波分岔。
Procedure of mathematical and physical modeling was discussed in detail. The numerical results were obtained by Fourth order variable step Runge-Kutta algorithm. The algorithm was implemented with Mathematica. Vast analysis show odd order superharmonic bi- furcation, the symmetry breaking bifurcation and subharmonic bifurcation emerged in sequence with increased nonlinear effect. Subharmonic component also generated superharmonic bifurcation and subharmonie bifurcation.
出处
《舰船电子工程》
2013年第5期102-104,共3页
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