Dynamic Balance Detection System of Horizontal Rotating Body Without Additional Sensors
A technology of horizontal rotation and balance detection, which is used in static/dynamic balance testing, machine/structural component testing, instruments, etc., to achieve low cost, avoid errors, and facilitate production.
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[0049] Basic principles such as Figure 5 as shown,
[0050] When an object rotates at an angular velocity ω, the partial velocities of any particle in the XY coordinate system are:
[0051] V X =ω*R*cosθ①
[0052] V y =ω*R*sinθ②
[0053] Where θ is the angle between the mass point M and the X axis
[0054] Calculate the first derivative of the formula ①② to get:
[0055] dV x dt = ω * R * sin θ ③
[0056] dV y dt = ω * R * cos θ ④
[0057] Therefore, for the mass point M, the stress in the XY direction is
[0058] f X =ω*R*sinθ*M⑤
[0059] f y =ω*R*cosθ*M⑥
[0060] It can be seen from the formula ⑤⑥ that when the object rotates at a constant speed, the centripetal stress in the X...
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