齐齐哈尔大学学报(自然科学版)
齊齊哈爾大學學報(自然科學版)
제제합이대학학보(자연과학판)
JOURNAL OF QIQIHAR UNIVERSITY
2013年
2期
87-89
,共3页
等时摆%唯一性%旋轮线%广义坐标%广义动量
等時襬%唯一性%鏇輪線%廣義坐標%廣義動量
등시파%유일성%선륜선%엄의좌표%엄의동량
isochronal pendulum%uniqueness%cycloid%generalized coordinates%generalized momentum
现阶段等时摆的研究主要集中于证明旋轮线为摆锤运动轨迹,难以说明旋轮线作为等时摆线的唯一性.本文通过引入抽象的广义坐标和广义动量,从描述运动最基本的哈密顿量出发,严格证明了等时摆轨迹确为旋轮线.
現階段等時襬的研究主要集中于證明鏇輪線為襬錘運動軌跡,難以說明鏇輪線作為等時襬線的唯一性.本文通過引入抽象的廣義坐標和廣義動量,從描述運動最基本的哈密頓量齣髮,嚴格證明瞭等時襬軌跡確為鏇輪線.
현계단등시파적연구주요집중우증명선륜선위파추운동궤적,난이설명선륜선작위등시파선적유일성.본문통과인입추상적엄의좌표화엄의동량,종묘술운동최기본적합밀돈량출발,엄격증명료등시파궤적학위선륜선.
Research of isochronal Pendulum has focused to verify the cycloid is pendulum orbit, as difficult to explain the uniqueness. This article by introducing an abstract generalized coordinates and the generalized momentum, had proven strictly the isochronisms’ trajectory for cycloid pendulum from the Hamiltonian that describes the most basic motion.
