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确定曲柄滑块机构的瞬时线速度和加速度的大多数方程式是冗长的且解答费时。本文介绍了从平面三角和速度矢量多边形图解原理发展而来的简化的方程式。方程式中只有一个变量(曲柄角θ_A)并且比通过较严格的数学分析得到的关系式解答较快。在一个典型的曲柄滑块机构中,曲柄AB绕铰链A以角速度ω旋转。角θ_A是曲柄相对于直线A_C的瞬时角度的位置。而θ_C是连杆B_C和直线A_C之间的夹角。速度矢量多边形B_Cb表示了顺时
Most equations that determine the instantaneous linear velocity and acceleration of the crank-slider mechanism are tedious and time-consuming to answer. This article presents a simplified equation developed from the principle of planar trigonometry and velocity vector polygons. There is only one variable in the equation (crank angle θ_A) and the solution is faster than the one obtained by the more rigorous mathematical analysis. In a typical crank-slider mechanism, crank AB rotates about hinge A at an angular velocity ω. The angle θ_A is the position of the crank relative to the instantaneous angle of the line A_C. While θ_C is the angle between the connecting rod B_C and the straight line A_C. The velocity vector polygon B_Cb represents the clockwise