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含x~5项强非线性系统的共振解和亚谐解

The Primary Resonance and Subharmonic Resonance for Strongly Nonlinear System Having the Term of 5th Power of x

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【作者】 杜惠英李骊

【Author】 Du Huiying Li li(Beijing Polytechnic University)

【机构】 北京工业大学北京工业大学 北京 100081北京 100081

【摘要】 本文应用强非线性系统频闪法,对公式进行适当变换,求出了方程x+ax+βx~3+γx~5=ε(-μx+δcosΩt)的共振解及亚谐解存在的条件及其解析表达式,并与数值计算结果作了比较.

【Abstract】 In this paper, by applying the stroboscopic method for strongly nonlinear systems and by suitably changing its formulas, the solution of primary resonance and subharmonic resonance of the strongly nonlinear system x+αx+βx~3+γx~5=ε(-μx+δcosΩt) were studied, and the comparisons betwee(?) the results obtained by our method and those by numerical integral were given.

【基金】 国家自然科学基金资助的课题
  • 【文献出处】 应用力学学报 ,Chinese Journal of Applied Mechanics , 编辑部邮箱 ,1993年01期
  • 【被引频次】2
  • 【下载频次】48
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