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用Adomian分解法求解分数阻尼梁的解析解

梁祖峰 唐晓艳

梁祖峰, 唐晓艳. 用Adomian分解法求解分数阻尼梁的解析解[J]. 应用数学和力学, 2007, 28(2): 200-208.
引用本文: 梁祖峰, 唐晓艳. 用Adomian分解法求解分数阻尼梁的解析解[J]. 应用数学和力学, 2007, 28(2): 200-208.
LIANG Zu-feng, TANG Xiao-yan. Analytical Solution of a Fractionally Damped Beam by Using Adomian Decomposition Method[J]. Applied Mathematics and Mechanics, 2007, 28(2): 200-208.
Citation: LIANG Zu-feng, TANG Xiao-yan. Analytical Solution of a Fractionally Damped Beam by Using Adomian Decomposition Method[J]. Applied Mathematics and Mechanics, 2007, 28(2): 200-208.

用Adomian分解法求解分数阻尼梁的解析解

基金项目: 国家自然科学基金资助项目(10547124;10475055)
详细信息
    作者简介:

    梁祖峰(1971- ),男,博士(联系人.E-mail:liangzufeng@163.com).

  • 中图分类号: O326

Analytical Solution of a Fractionally Damped Beam by Using Adomian Decomposition Method

  • 摘要: 利用Adomian分解法, 得到了由任意阶分数微分描述的具有阻尼特性的黏弹性连续梁的解析解.解中包含了任意的初始条件和零输入.为了更明确的分析, 假定初始条件是奇次的,输入受力是针对某种特定梁的特殊过程.分别考虑了两种简单情况下梁的响应:阶跃激励和脉冲激励.然后在系统的不同组参数条件下绘制了梁的位移图,并且讨论了梁在不同微分阶数下响应情况.
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出版历程
  • 收稿日期:  2006-03-13
  • 修回日期:  2006-10-24
  • 刊出日期:  2007-02-15

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