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高速平面连杆机构的弹性变形及动应力分析
引用本文:王生泽,廖道训.高速平面连杆机构的弹性变形及动应力分析[J].华中科技大学学报(自然科学版),1988(3).
作者姓名:王生泽  廖道训
作者单位:华中理工大学机械工程一系 (王生泽),华中理工大学机械工程一系(廖道训)
摘    要:在弹性小变形下,本文导出了考虑弯曲、剪切及轴向三种变形型式和计及截面转动惯量、端点集中质量,纵向弯曲影响的平面连杆机构一般系统的运动微分方程,并对求其稳态解的富氏级数法进行了改进和完善;进而给出了求解机构杆件截面上任一点法向应力和横向剪应力以及各构件最大动应力的矩阵计算式。文中以曲柄摇杆机构为例,列出了相应数值结果。

关 键 词:平面机构  连杆机构  弹性变形  动应力  梁单元  富氏级数  稳态解

The Deflection and Dynamic Stress of High-Speed Planar Linkages
Wang Shengze Liao Daoxun.The Deflection and Dynamic Stress of High-Speed Planar Linkages[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1988(3).
Authors:Wang Shengze Liao Daoxun
Institution:Wang Shengze Liao Daoxun
Abstract:Under the elastic small-deflection assumption, the equations of motion for a general planar linkage are derived. The axial bending and shearing deflections, the influence of the rotational inertia, the concentrated mass at two ends as well as the effects of a longitudinal load on the beam elements have been taken into consideration. The Fourier series method used to find the steady-state solution of the equations has been improved and perfected. The calculating formulae are proposed for solving the normal stress and transverse shearing stress and, in particular, the maximum dynamic stress, in each link of a planar linkage.It has also been found that:1. the assembly of the motion equations for a system of a planar linkage by those of beam-element involves not only the transformation matrices of generalized coordinates, but also the first and second order derivative matrices;2. when the finite Fourier series method is used to find the steady-state solution of linear second-order differential equations with periodic variable coefficients, and if the elastic displacement is to be truncated to the N-th harmonic, then the variable coefficient matrices and the generalized forces of the equations should be truncated respectively to the 2N-th and N-th harmonic.
Keywords:Planar mechanisms  Linkage mechanisms  Elastic deflection  Dynamic stress  Beam element  Fourier series  Steady-state solution    
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