南通大学学报（自然科学版）Issue(2)：90-94,5.
局部常化三角函数的万能公式研究单摆周期
Study on Simple Pendulum Period by Partly Fixing the Variable of the Trigonometric Universal Formula
摘要
Abstract
Applying the thought of the variable being partly fixed to making the trigonometric universal formula to be constant in part, seven new large angle simple pendulum period formulas were obtained, a series of pending constant were confirmed by using Matlab software to curve fitting, at the same time a concise approximate formula of the first complete elliptic integral was generated. The accuracy of the relative error on the simple pendulum period formula are compare and contrast, it is sure that seven simple pendulum period formulas are all of high accuracy, and points out the virtue of one of the formulas which is concise, high precision and good practical value.关键词
局部常化方法/三角函数/万能公式/非线性单摆/周期Key words
method of the variable be partly fixed/trigonometric functions/universal formula/nonlinear pendulum/period分类
数理科学引用本文复制引用
谭志中,杨建华..局部常化三角函数的万能公式研究单摆周期[J].南通大学学报（自然科学版）,2013,(2):90-94,5.基金项目
江苏省教育厅“物理学”特色专业建设点、江苏省“十二五”高等学校重点专业建设资助项目；南通大学自然科学基金项目（11Z054）；南通大学教学研究项目 （）
