CAJ | 학술논문

对参数中含有对数-指数的新型螺旋曲面进行质点的成形运动学分析和描述，依据质点成形运动组合系统化定义和分类新螺旋曲面，以揭示此型螺旋曲面几何特征、数学性质、工程应用可能及推测新型螺旋曲面。构建具有对应具有对数-指数参数特征的螺旋曲线数学模型，应用 Pro／E 二次开发工具 Pro／TOOLKIT，修正的螺旋曲面扫描算法和参数传递原理构建单一全关联数据库。对整个模型任意点，任意特征数字信息的提取实现了该类螺旋曲面的精确参数化造型。该参数化模型中对应具有对数-指数参数特征的螺旋曲线生成直接来自数学模型，所构建的参数化模型理论上无任何误差。
대삼수중함유대수-지수적신형라선곡면진행질점적성형운동학분석화묘술，의거질점성형운동조합계통화정의화분류신라선곡면，이게시차형라선곡면궤하특정、수학성질、공정응용가능급추측신형라선곡면。구건구유대응구유대수-지수삼수특정적라선곡선수학모형，응용 Pro／E 이차개발공구 Pro／TOOLKIT，수정적라선곡면소묘산법화삼수전체원리구건단일전관련수거고。대정개모형임의점，임의특정수자신식적제취실현료해류라선곡면적정학삼수화조형。해삼수화모형중대응구유대수-지수삼수특정적라선곡선생성직접래자수학모형，소구건적삼수화모형이론상무임하오차。
In this paper,the particle that moves to form the spiral surface with logarithmic-index parameter characteris-tics was analyzed and described kinematically.New spiral surface systematic was defined and classified based on combina-tion movement of particles forming to reveal the geometry characteristics,the mathematical properties,the engineering application possibility and then speculate the new type of spiral surface.The mathematical model of new spiral curve with logarithmic-index parameter characteristics was built,then the secondary development tool Pro/TOOLKIT of Pro/E, fixed scanning algorithm of spiral surface and parameter passing principle were used to build a single full relational data-base.The extraction of any point on the entire model and any feature of digital information was attracted to achieve accu-rate parametric modeling of the spiral surface.The formation of the new spiral curve with logarithmic-index parameter characteristics correspond to the parametric model was directly from the mathematical model,and the parametric model constructed had no error in theory.