用微元法推导无阻尼单摆运动任意角度下的周期公式
용미원법추도무조니단파운동임의각도하적주기공식
Period Formula Derivation of Undamped Pendulum Motion under Arbitrary Angle with Differential Element Method
  • 万方数据
    大学物理实验 대학물리실험
    PHYSICAL EXPERIMENT OF COLLEGE
    2014年 4期 28-30 ,共3页

    许飞%谢海芬

    허비%사해분

    单摆%周期%大角度%理论公式%微元法 單襬%週期%大角度%理論公式%微元法
    단파%주기%대각도%이론공식%미원법
    single pendulum%period%large angle%theoretical formula%differential method
    对单摆运动进行了讨论。通过对单摆进行能量分析，得出了单摆角频率与角度的关系式，然后运用微元法，推导出了单摆的理论周期公式。计算结果表明，所得到的单摆运动周期的理论公式与展开公式符合得很好。
    대단파운동진행료토론。통과대단파진행능량분석，득출료단파각빈솔여각도적관계식，연후운용미원법，추도출료단파적이론주기공식。계산결과표명，소득도적단파운동주기적이론공식여전개공식부합득흔호。
    The simple pendulum motion is discussed. The relation between angle frequency and angle of the pendulum is given through the energy analysis of the pendulum,and the theoretical period formula of simple pendulum is derived using the differential method. The calculation results show that the theoretical formula of the period of simple pendulum movement and Taylor expansion formula are in good agreement.
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