小波分析在平面四杆机构轨迹综合中的应用研究  

RESEARCH ON APPLYING WAVELET ANALYSIS TO PATH SYNTHESIS FOR COUPLER CURVES OF PLANAR FOUR-BAR LINKAGES

作　　者：王成志[1] 纪跃波[1] 孙道恒[2] 

机构地区：[1]集美大学机械工程学院,厦门361021 [2]厦门大学机电工程系,厦门361005

出　　处：《机械工程学报》2004年第8期34-39,共6页Journal of Mechanical Engineering

基　　金：国家自然科学基金资助项目(50275127)。

摘　　要：将小波多分辨分析理论应用于提取连杆轨迹特征参数并以此构造连杆曲线图谱库,建立了相应的轨迹评价和轨迹复演模型。所提取的特征参数保留了相对斜率角曲线的仅与所取基点有关,与轨迹曲线方位及缩放比例无关的特性。本法减少了图谱数据库的数据冗余、提高了机构综合检索速度。通过与最小二乘距离对比表明本法仍然具有很好的检索排序效果,说明了小波分析可以有效地应用于连杆轨迹的综合课题。Using the wavelet multi-resolution analysis, the low frequency wavelet coefficients can be used to represent the coupler curve of a mechanism and stored in the database as an atlas. A corresponding closeness or measure of the error between two curves and the model redemonstrating expected curve are created. The coefficients sets have the same characteristics as the slope angles that they are independent of their directions and the scales of curves. The atlas database can be created with lager data compressing ratio and expected mechanism can be quickly retrieved from it. Comparing the closeness with the least squares of the distance between two corresponding points on expected curve and the generated coupler curve shows that the method can arrange the curves in a good indexing order when retrieving curves from the library, and it demonstrates that the wavelet analysis can be effectively used to solve the problems of path synthesis; for coupler curves.

关 键 词：平面四杆机构 连杆曲线 机构综合 小波分析 图谱数据库 

分 类 号：TH112.1[机械工程—机械设计及理论]