基于调和函数的偏置曲柄滑块机构非线性诺模图设计  

Nonlinear nomogram design for eccentric slider-crank mechanism based on harmonic function

作　　者：李德胜 黄宝旺 于江涛 李占贤 王志军 冯永利 LI Desheng;HUANG Baowang;YU Jiangtao;LI Zhanxian;WANG Zhijun;FENG Yongi(College of Mechanical Engineering,North China University of Science and Technology,Tangshan 063210)

机构地区：[1]华北理工大学机械工程学院,河北唐山063210

出　　处：《机械设计》2024年第6期139-143,共5页Journal of Machine Design

基　　金：华北理工大学博士科研启动基金(28405699);唐山市科技创新团队培养计划(21130208D)。

摘　　要：文中给出了偏置曲柄滑块机构的非线性诺模图。首先,对机构基本方程引入无量纲参数和过渡函数,将机构数学模型整理成适合诺模图求解的标准形式;其次,对过渡函数采用构造调和函数并解析的策略,寻求较优尺度模量,弱化和规避关键标尺刻度的非均匀分布和过度集中现象;最后,使用两种不同类型无量纲参数的案例,对所给非线性诺模图进行验证。结果表明:该诺模图不仅可直接用于快速设计不同目标的偏置曲柄滑块机构,还可对所做设计的正确性与合理性予以快速校验。In this article,a nonlinear nomogram is presented for the eccentric slider-crank mechanism.Firstly,both the di-mensionless parameter and the transitional function are introduced into the mechanism's fundamental equation,aiming to obtain the standardized form suitable for nomogram solving from the mechanism's mathematical model.Then,the moderate scale modu-lus of the transitional function is computed by constructing and analyzing the harmonic function.Both non-uniform distribution and excessive concentration are weakened and avoided for the graduation lines on the critical scales.Finally,the nonlinear nomogram is verified by applying two cases with different dimensionless parameters in nature.The results suggest that the nomogram can be applied to design the eccentric slider-crank mechanisms with different objectives in a rapid manner;also,it is used to verify whether the design is correct and reasonable in a short time.

关 键 词：偏置曲柄滑块机构 非线性诺模图 调和函数 尺度模量 无量纲参数 

分 类 号：TH122[机械工程—机械设计及理论] O174.52[理学—数学]