力学与实践 ›› 2019, Vol. 41 ›› Issue (6): 676-680.DOI: 10.6052/1000-0879-19-225

• 应用研究 • 上一篇    下一篇

两端固定轴扭转变形的级数解法1)

史文谱2), 刘盛翔, 黎和俊   

  1. 烟台大学机电汽车工程学院,山东烟台 264005
  • 收稿日期:2019-06-14 发布日期:2019-12-27
  • 通讯作者: 2)史文谱,副教授,主要从事固体力学及弹性波理论研究。E-mail: swp636793@163.com
  • 基金资助:
    1)国家自然科学基金资助项目(11672301)

A SERIES METHOD FOR CALCULATION OF THE TORSION DEFORMATION OF THE SHAFT WITH TWO FIXED ENDS1)

SHI Wenpu2), LIU Shengxiang, LI Hejun   

  1. School of Electro-mechanical and Automotive Engineering, Yantai 264005, Shandong, China
  • Received:2019-06-14 Published:2019-12-27

摘要: 轴类扭转是工程中常见的一种受载方式,由于其受载形式的多样性和边界约束情况的复杂性,其变形计算和内力分析按截面法和解除约束的方式常常是很繁琐的。本文针对两端固定扭转轴的变形计算问题利用广义函数和周期性延拓方法提出一种级数解法,该法无需截面法和解除约束,步骤简单,计算方便, 具有一定的应用推广意义。为了说明方法的有效性,本文用算例对材料力学一般处理方法和本文方法做了比较和分析,结果说明了本文方法是可行的。

关键词: 扭转轴, 两端固定, 级数解法, 变形计算, 内力分析

Abstract: The torsion deformation of the shaft is commonly considered, due to the diversity of its loaded forms and the complexity of the boundary constraints. Its computation and the internal force analysis are often not easy, involve the section-cut method and the unbinding of constraints. In this paper, a series method is put forward to compute the torsion deformation of the shaft with two fixed ends with the help of the generalized function and the periodic extension method, without using the section-cut and the unbinding of constraints and with simple steps. It can be extended to wider applications. In order to show the effectiveness of the method, the general treatment of the material mechanics and the method of this paper are compared through an example.

Key words: torsion shaft, both ends fixed, series method, torsion deformation, internal force analysis

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