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

轴向变速运动粘弹性弦线横向振动的复模态Galerkin方法

1.
上海大学理学院力学系,上海 200444;2.上海市应用数学和力学研究所,上海 200072

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
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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

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

1.
Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China;

摘要

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．
- 轴向变速运动弦线 /
- 粘弹性 /
- 横向非线性振动 /
- 复模态Galerkin方法 /
- 几何非线性
Abstract: Under the consideration of harmonic fluctuations of initial tension and axially velocity, a nonlinear governing equation for transverse vibration of an axially accelerating string is set up by using the equation of motion for a 3-dimensional deformable body with initial stresses. The Kelvin model was used to describe viscoelastic behaviors of the material. The basis function of the complex-mode Galerkin method for axially accelerating nonlinear strings was constructed by using the modal function of linear moving strings with constant axially transport velocity. By the constructed basis functions, the application of the complex-mode Galerkin method in nonlinear vibration analysis of an axially accelerating viscoelastic string was investigated. Numerical results show that the convergence velocity of the complex-mode Galerkin method is higher than that of the real mode Galerkin method for a variable coefficient gyroscopic system.
- axially accelerating string /
- viscoelasticity /
- transverse nonlinear vibration /
- complex-mode Galerkin method /
- geometry nonlinearity

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参考文献(15)

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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

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).

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

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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

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).

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出版历程

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

计量

出版历程

目录

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).