节点文献
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
【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.
【关键词】 强非线性系统;
频闪法;
共振解;
亚谐解;
【Key words】 strongly nonlinear system; stroboscopic method; solution of primary resonance; solution of subhar monic resonance.;
【Key words】 strongly nonlinear system; stroboscopic method; solution of primary resonance; solution of subhar monic resonance.;
【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