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轴向变速运动粘弹性弦线横向振动的复模态Galerkin方法

张能辉 王建军 程昌钧

张能辉, 王建军, 程昌钧. 轴向变速运动粘弹性弦线横向振动的复模态Galerkin方法[J]. 应用数学和力学, 2007, 28(1): 1-8.
引用本文: 张能辉, 王建军, 程昌钧. 轴向变速运动粘弹性弦线横向振动的复模态Galerkin方法[J]. 应用数学和力学, 2007, 28(1): 1-8.
ZHANG Neng-hui, WANG Jian-jun, CHENG Chang-jun. Complex-Mode Galerkin Approach in Transverse Vibration of an Axially Accelerating Viscoelastic String[J]. Applied Mathematics and Mechanics, 2007, 28(1): 1-8.
Citation: ZHANG Neng-hui, WANG Jian-jun, CHENG Chang-jun. Complex-Mode Galerkin Approach in Transverse Vibration of an Axially Accelerating Viscoelastic String[J]. Applied Mathematics and Mechanics, 2007, 28(1): 1-8.

轴向变速运动粘弹性弦线横向振动的复模态Galerkin方法

基金项目: 国家自然科学基金资助项目(10472060);上海市重点学科建设项目资助项目(Y0103);上海市自然科学基金资助项目(04ZR14058);上海高校优秀青年教师后备人选科研资助项目(04YQHB088)
详细信息
    作者简介:

    张能辉(1970- ),男,河北人,副教授,博士(联系人.Tel:+86-21-66134790;Fax:+86-21-66134021;E-mail:nhzhang@shu.edu.cn).

  • 中图分类号: O322

Complex-Mode Galerkin Approach in Transverse Vibration of an Axially Accelerating Viscoelastic String

  • 摘要: 在考虑初始张力和轴向速度简谐涨落的情况下,利用含预应力三维变形体的运动方程,建立了轴向变速运动弦线横向振动的非线性控制方程,材料的粘弹性行为由Kelvin模型描述.利用匀速运动线性弦线的模态函数构造了变速运动非线性弦线复模态Galerkin方法的基底函数,并借助构造出来的基底函数研究了复模态Galerkin方法在轴向变速运动粘弹性弦线非线性振动分析中的应用.数值结果表明,复模态Galerkin方法相比实模态Galerkin方法对变系数陀螺系统有较高的收敛速度.
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出版历程
  • 收稿日期:  2005-10-21
  • 修回日期:  2006-10-11
  • 刊出日期:  2007-01-15

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