基于SymPy的奇异函数应用研究  

Application Research of Singular Function Based on SymPy

作　　者：唐鹏[1] 李娇 方曙东[2] 苗纯[1] TANG Peng;LI Jiao;FANG Shudong;MIAO Chun(College of Mechanical and Electrical Engineering,Chizhou University,Chizhou,Anhui 247100;College of Big Data,Chizhou University,Chizhou,Anhui 247100)

机构地区：[1]池州学院机电工程学院,安徽池州247100 [2]池州学院大数据学院,安徽池州247100

出　　处：《合肥师范学院学报》2019年第3期26-28,共3页Journal of Hefei Normal University

基　　金：安徽省自然科学基金项目(1808085MA21);安徽高校自然科学研究重点项目(KJ2016A511,KJ2018A0582);高校优秀青年人才支持计划重点项目(gxyqZD2016369);安徽省质量工程项目(2017xjjd035,2017XJXTD02)

摘　　要：奇异函数在表达集中量和处理不连续函数的微分和积分及在信号、系统分析中都有着广泛的应用。奇异函数把变量写成统一的形式,便于计算机编程处理,在某些工程问题的数值计算中有广泛的应用。但是数值计算不能处理表达式,这限制了其在工程中的应用。Sympy模块是python的符号计算模块,本文以梁的挠曲线计算为例,展示了奇异函数的符号计算的强大功能。对于复杂的工程和科学问题的高精度求解有着重要意义。Singular functions are widely used in the differential and integral expressions of concentrated variables and discontinuous functions,as well as in signal and system analysis.Singular functions write variables in a unified form,which is convenient for computer programming.They are widely used in numerical calculation of some engineering problems.However,numerical calculation can not deal with expressions,which limits its application in engineering.SymPy module is python's symbol calculation module.Taking the deflection curve calculation of beam as an example,the paper demonstrates the powerful function of symbol calculation of singular function.It is of great significance to solve complex engineering and scientific problems with high accuracy.

关 键 词：奇异函数 符号计算 SymPy 初参数方程 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论]