| 广义函数及其在力学中的应用述评 |
| |
| 引用本文： | 卓士创,李顺才. 广义函数及其在力学中的应用述评[J]. 甘肃科学学报, 2008, 20(1): 42-45 |
| |
| 作者姓名： | 卓士创 李顺才 |
| |
| 作者单位： | 1. 徐州师范大学,物理与电子工程学院,江苏,徐州,221116
2. 徐州师范大学,机电工程学院,江苏,徐州,221116 |
| |
| 基金项目： | 徐州师范大学校科研和教改项目 |
| |
| 摘 要： | 简要介绍了广义函数的发展，给出了力学中常用的广义函数（即奇异函数）的定义及其微分、积分运算法则，分析了广义函数在力学各分支中的应用现状，通过用广义函数表示集中力作用下固支圆板的面分布集度来求解板弯曲挠度的实例，说明运用广义函数解决一些力学问题的优越性．
|
| 关 键 词： | 广义函数 应用现状 奇异函数 固支圆板 |
| 文章编号： | 1004-0366(2008)01-0042-04 |
| 修稿时间： | 2007-01-08 |
Comment on Generalized Functions and Their Application in Mechanics |
| |
| ZHUO Shi-chuang,LI Shun-cai. Comment on Generalized Functions and Their Application in Mechanics[J]. Journal of Gansu Sciences, 2008, 20(1): 42-45 |
| |
| Authors: | ZHUO Shi-chuang LI Shun-cai |
| |
| Affiliation: | ZHUO Shi-chuang,LI Shun-cai(1.School of Physical , Electronic Engineering,Xuzhou Normal University,Xuzhou 221116,China,2.School of Mechanical , Electric Engineering,China) |
| |
| Abstract: | The development of the generalized functions,and the definition of the commonly used generalized functions in mechanics(namely,singularity functions) and their operative principles are briefly introduced.Then the present status of generalized functions in all branches of mechanics is analyzed.The superiority of using the generalized functions to solve mechanic problems is illustrated by an example of the bending deflection of clamped circular plate under the concentrated force,using the generalized function... |
| |
| Keywords: | generalized function present status of application singularity function clamped circular plate |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
