力学与实践 ›› 2014, Vol. 36 ›› Issue (6): 774-778.DOI: 10.6052/1000-0879-14-075

• 应用研究 • 上一篇    下一篇

横截面为直角梯形的圆孔凹模板刚度理论

李韶杰   

  1. 陕西科技大学理学院, 西安 710021
  • 收稿日期:2014-04-21 修回日期:2014-07-07 出版日期:2014-12-15 发布日期:2014-07-08
  • 通讯作者: 李韶杰,学士,工程师,主要从事大学物理教学和研究工作. E-mail: lishaojie@sust.edu.cn
  • 基金资助:

    陕西省教育厅自然科学基金资助项目(2013JK0636).

RIGIDITY OF A CONCAVE TEMPLATE OF RIGHT ANGLE TRAPEZOID CROSS SECTION WITH A CIRCULAR APERTURE

LI Shaojie   

  1. The College of Science, Shanxi University of Science and Technology, Xi'an 710021, China
  • Received:2014-04-21 Revised:2014-07-07 Online:2014-12-15 Published:2014-07-08

摘要:

采用线弹性平板理论,对均匀、连续、各向同性材料制成的变横截面为直角梯形的圆孔凹模板刚度计算理论进行了研究. 首先建立力学和数学计算模型,其次,针对承受垂直冲裁力的圆形孔凹模板,建立了用挠度表示的三阶变系数常微分方程,并给出了新的边界条件,然后采用半逆解法求解,进行弯曲问题的挠度计算,进而确定刚度计算理论,最后进行实例分析.

关键词:

直角梯形横截面|线性变厚度圆板|圆形孔凹模|凹模板挠度|刚度计算

Abstract:

Based on the linear elastic plate theory, the rigidity of a concave template of a right angle trapezoid cross section made of homogeneous, continuous and isotropic material with a circular hole is calculated. At first, a mechanical and mathematical calculation model is built. Secondly, the third order variable coefficient differential equation expressed in deflection is obtained with boundary conditions. And then, the deflection is obtained, as well as the rigidity. Finally, an application example is given.

Key words:

right angle trapezoid cross section|linear variable thickness circular plate|concave template with circular aperture|concave template deflection|rigidity computation

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