• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2015, Vol. 51 ›› Issue (9): 64-72.doi: 10.3901/JME.2015.09.064

• 机械动力学 • 上一篇    下一篇

不同边界条件下旋转薄壁短圆柱壳的强迫振动响应计算

罗忠1, 王宇1, 2, 孙宁1, 张凯1, 韩清凯3   

  1. 1.东北大学机械工程与自动化学院;2.辽宁科技大学机械工程与自动化学院;3.大连理工大学机械工程学院
  • 出版日期:2015-05-05 发布日期:2015-05-05
  • 基金资助:
    国家重点基础研究发展计划(973计划,2012CB026005)和国家自然科学基金(51105064)资助项目

Forced Vibration Response Calculation of Rotating Short Thin Cylindrical Shells For Various Boundary Conditions

LUO Zhong1, WANG Yu1, 2, SUN Ning1, ZHANG Kai1, HAN Qingkai3   

  1. 1.School of Mechanical Engineering & Automation, Northeastern University;2. School of Mechanical Engineering & Automation, University of Science and Technology Liaoning; 3.School of Mechanical Engineering, Dalian University of Technology
  • Online:2015-05-05 Published:2015-05-05

摘要: 为计算不同边界条件下旋转薄壁短圆柱壳的强迫振动响应特性,在总结前人所提出的两端简支边界条件下旋转有限长圆柱壳自由振动和谐波激励响应计算方法基础上,基于梁函数法,在位移函数的轴向引入含有不同边界条件特征的模态函数,从而得以求解。基于Love壳体理论,利用Hamilton原理建立了旋转薄壁短圆柱壳的振动微分方程,并利用Galerkin法进行离散简化为常微分方程。以简谐激励为例给出了一种以广义坐标形式表示的响应求解方法,由此求解出不同边界约束的旋转薄壁短圆柱壳的响应问题。通过试验对所提出响应计算方法的正确性进行了验证。

关键词: 边界条件, 薄壁短圆柱壳, 梁函数, 强迫振动响应

Abstract: In order to solve the forced vibration response of rotating short thin walled cylindrical shells, an innovative calculation method is proposed considering the different boundary conditions in the axial displacement functions based on beam functions. The method is on the basis of the research results proposed by researchers previously. They studied the calculation method of the free vibration and harmonic excitation response of rotating finite cylindrical shells under the one condition of simply - simply supported boundary only. The vibration differential equations for rotating cylindrical shells were established using the Hamilton principle based on the Love’s shell theory. The differential equations are transformed to ordinary differential equations by using Galerkin’s method. Taking an example of the simple harmonic excitation, the calculation method of the forced vibration response of rotating short cylindrical shells under the different boundary conditions is given. The proposed calculation method is verified by experiment.

Key words: beam functions, boundary conditions, forced vibration response, short thin walled cylindrical shells

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