兰州工业高等专科学校学报
蘭州工業高等專科學校學報
란주공업고등전과학교학보
JOURNAL OF LANZHOU POLYTECHNICAL COLLEGE
2012年
2期
33-36
,共4页
CASIO%编程计算器%积分功能%缓和曲线%交点坐标
CASIO%編程計算器%積分功能%緩和麯線%交點坐標
CASIO%편정계산기%적분공능%완화곡선%교점좌표
CASIO programmable calculator%integral function%transition curve%intersection coordinate
由于缓和曲线的曲率半径是逐渐变化的,无法得到其上点位坐标的准确计算公式,以往都是用级数展开进行近似计算,计算公式比较繁琐,计算结果的精度也不够高.利用CASIO编程计算器的定积分功能,能够计算出缓和曲线上点位坐标的精确数值,然后利用逐渐趋近法,可完成直线与缓和曲线交点坐标的精确解算.
由于緩和麯線的麯率半徑是逐漸變化的,無法得到其上點位坐標的準確計算公式,以往都是用級數展開進行近似計算,計算公式比較繁瑣,計算結果的精度也不夠高.利用CASIO編程計算器的定積分功能,能夠計算齣緩和麯線上點位坐標的精確數值,然後利用逐漸趨近法,可完成直線與緩和麯線交點坐標的精確解算.
유우완화곡선적곡솔반경시축점변화적,무법득도기상점위좌표적준학계산공식,이왕도시용급수전개진행근사계산,계산공식비교번쇄,계산결과적정도야불구고.이용CASIO편정계산기적정적분공능,능구계산출완화곡선상점위좌표적정학수치,연후이용축점추근법,가완성직선여완화곡선교점좌표적정학해산.
The accurate formula for calculating point coordinates of transition curve is difficult to get for its radius of curvature is gradually hanging,and it is calculated by series expansion method at present.So the formula is cumbersome and the results is not precise.The precise calculation of intersection coordinates of straight lines and transition curve can be obtained by using definite integral function of CASIO Programmable Calculator.