抛物线法在搜寻复摆极值点中的应用  

Application of parabola method in searching for extremum of compound pendulum

作　　者：刘向远[1] 梅忠义[2] 

机构地区：[1]皖西学院数理系,安徽六安237012 [2]合肥工业大学电子科学与应用物理学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2010年第3期467-469,共3页Journal of Hefei University of Technology：Natural Science

基　　金：安徽省教育厅自然科学基金资助项目(KJ2009B007Z);六安市委托皖西学院市级研究资助项目(2008LW006)

摘　　要：钟摆式复摆的质心可以变化,因此具有极小周期点位置,在实验室条件下,这个极值点可以采用黄金分割法和Fibonacci法来搜索。但是采用抛物线法并适当结合黄金分割点确定搜索的初始值,然后逐步构造抛物线搜寻复摆的极值点,可以大大地提高搜寻速度和精度。文章通过实验采集数据并加以分析,证明了抛物线法搜寻复摆极值点比黄金分割法和Fibonacci法有更好的搜寻效果,并且该方法对于搜寻物理学中其它极值点问题具有参考价值。The compound pendulum of alterable centroid has extremum of period which can be searched for by the golden section method and the Fibonacci method under laboratory condition. The parabola method with the golden cut points is used to confirm the initial place and search for the extremum place, which can enhance speed and precision. By experiments, it is proved that the parabola method is faster and more precise than the golden section method and the Fibonacci method in searching for extremum of compound pendulum. Furthermore, the method can offer some references for the study of other extremum in physics.

关 键 词：复摆 抛物线法 黄金分割点 极小周期点 

分 类 号：O4-33[理学—物理]