摘要
建立了按许用传动角[γ]综合Ⅰ,Ⅱ型平面曲柄摇杆机构的一元四次方程。已知极位夹角θ、摇杆摆角ψ时,按[γ]综合Ⅰ型机构(ψ≠θ时)及Ⅱ型机构的统一方程是以曲柄相对尺度a为未知量的全系数一元四次方程;而按[γ]综合特殊Ⅰ型机构(ψ=θ时)的方程是以连杆相对尺度b为未知量的简单一元四次方程。基于实系数一元四次方程的矩阵解法,提出了按[γ]综合Ⅰ型机构(ψ≠θ时)及Ⅱ型机构的统一非迭代算法。给出了综合实例,并对求解结果进行验证。实例表明非迭代算法简便、快速、精确。
The unary quartic equation of Ⅰ, Ⅱ typed planar crank-rocker mechanism synthesized in the light of allowable transmission angle[ γ] was established. While the included angle θ between extreme positions and the rocker swinging angle ψ were known, the unified equation for synthesizing the type Ⅰ mechanism （when ψ≠θ） and type Ⅱ mechanism according to [γ] was a complete coefficients unary quartie equation that takes the crank relative dimension a as the unknown. But the equation for synthesizing the particular Ⅰ typed mechanism （when ψ = θ） according to[γ]was a simple unary quartic equation that takes the connecting bar relative dimension h as the unknown. Based on the matrix solving method of the real coefficients unary quartie equation, the unified non-iterative algorithm for synthesizing type Ⅰ mechanism （when ψ≠θ） and type Ⅱ mechanism according to [γ] was put forward. A synthetic living example was presented and verification was carried through on the resuh of solution. This living example showed that the non-iterative method is rapid, accurate, simple and convenient.
出处
《机械设计》
CSCD
北大核心
2010年第1期53-56,共4页
Journal of Machine Design
基金
四川省应用基础研究计划资助项目(2008JY0163)
四川省精品课程建设资助项目(08-359-174)
泸州职业技术学院精品课程建设资助项目(KC-200702)
关键词
平面曲柄摇杆机构
综合
极位夹角
摇杆摆角
许用传动角
非迭代算法
planar crank-rocker mechanism
synthesis
included angle between extreme positions
rocker swinging angle
allowable transmission angle
non-iterative algorithm
