【摘 要】
：
目的是完善研究骨再造方程获得稳定解的条件.用n单元和m×n单元两种多单元模型研究高阶非线性骨再造控制方程中的两个非线性因素:再造率系数B(t)取为指数形式和引入非线性再
【基金项目】
：
高等学校博士学科点专项科研项目;
论文部分内容阅读
目的是完善研究骨再造方程获得稳定解的条件.用n单元和m×n单元两种多单元模型研究高阶非线性骨再造控制方程中的两个非线性因素:再造率系数B(t)取为指数形式和引入非线性再造方程的阶数对其获得稳定解的条件的影响,采用两种多单元模型分析得到,当表观密度和弹性模量之间的指数次方r满足-1＜r＜1时,连续解是稳定的;而当r＞1时,系统可以经过不稳定的连续解最终达到有序的不连续解.应用多单元模型分析表明,对于高阶非线性骨再造控制方程,稳定解的条件主要由r来决定,方程中两个非线性因素对其取得稳定解的条件没有影响.
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