Closed-Form Expression for the Exact Period of a Nonlinear Oscillator Typified by a Mass Attached to a Stretched Wire

作     者：Malik Mamode 

作者机构：Department of PhysicsLaboratoire PIMENTEquipe MASCUniversity of La Reunion97400 Saint-DenisFrance 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2011年第3卷第6期

页      面：689-701页

核心收录：

学科分类：07[理学] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 070101[理学-基础数学] 

主　　题：Nonlinear oscillator exact period elliptic integral 

摘      要：The exact analytical expression of the period of a conservative nonlinear oscillator with a non-polynomial potential,is *** an oscillatory system corresponds to the transverse vibration of a particle attached to the center of a stretched elastic *** result is given in terms of elliptic functions and validates the approximate formulae derived from various approximation procedures as the harmonic balance method and the rational harmonic balance method usually implemented for solving such a nonlinear problem.