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ADOMIAN POLYNOMIALS FOR NONLINEAR RESPONSE OF SUPPORTED TIMOSHENKO BEAMS SUBJECTED TO A MOVING HARMONIC LOAD
  • ISSN号：0894-9166
  • 期刊名称：《固体力学学报：英文版》
  • 时间：0
  • 分类：O326[理学—一般力学与力学基础;理学—力学]
  • 作者机构：[1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China, [2]School of Mechanical Engineering, Anhui University of Technology, Maanshan 243032, Anhui Province, China, [3]Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China, [4]Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200444, China
  • 相关基金：Project supported by the State Key Program of the National Natural Science Foundation of China （No. 11232009） and the National Natural Science Foundation of China （Nos. 11372171 and 11422214）
作者： Hu Ding[1], Kangli Shi[1], Liqun Chen[1,2], Shaopu Yang[3]
关键词： 向轴的方向移动横梁, 粘弹性的基础, 复杂形式的分析, 自然频率, 强迫的颤动, axially moving beam, viscoelastic foundation, complex modal analysis,natural frequency, forced vibration
中文摘要：

在这份报纸，动人的横梁由一个粘弹性的基础支持了的一个向轴的方向的横向的颤动被一个复杂形式的分析方法分析。运动的方程基于概括 Hamiltons 原则被开发。特征值和特徵函数是获得的半经分解。管理方程在一种正规州的空间形式被代表，它被二个矩阵定义微分操作员。特徵函数和伴随特徵函数的 orthogonality 习惯于 decouple 在州的空格的系统。到任意的外部刺激和起始的条件的系统的回答在形式的扩大被表示。数字例子被举说明建议途径。免费、强迫的颤动上的基础参数的效果被检验。

英文摘要：

In this paper, transverse vibration of an axially moving beam supported by a viscoelastic foundation is analyzed by a complex modal analysis method. The equation of motion is developed based on the generalized Hamilton＇s principle. Eigenvalues and eigenfunctions are semi-analytically obtained. The governing equation is represented in a canonical state space form, which is defined by two matrix differential operators. The orthogonality of the eigenfunctions and the adjoint eigenfunctions is used to decouple the system in the state space. The responses of the system to arbitrary external excitation and initial conditions are expressed in the modal expansion. Numerical examples are presented to illustrate the proposed approach. The effects of the foundation parameters on free and forced vibration are examined.

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期刊信息
  • 《固体力学学报：英文版》
  • 主管单位:
  • 主办单位:中国力学学会
  • 主编：郑泉水
  • 地址：武汉市珞喻路1037号华中科技大学南一楼西北508室
  • 邮编：430074
  • 邮箱：amss@mail.hust.edu.cn
  • 电话：027-87543737
  • 国际标准刊号：ISSN：0894-9166
  • 国内统一刊号：ISSN：42-1121/O3
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:133