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product(质径积)课件
The Theory of Machines and Mechanisms Chapter 6. Balancing of Machinery;Today’s Topics;Purposes of Balancing;Method of Balancing;Balancing of Rotors;Balancing of Rotors;Types of Rigid Rotor ;Types of Rigid Rotor;Balancing of Disk-like Rotor - Static balance/single plane balance;Static balance/single plane balance;Break mcRc , miRi into x and y components:
mcRcx+ (m1R1x+m2R2x+m3R3x)=0
mcRcy+(m1R1y+ m2R2y+m3R3y)=0
So,
mcRccosθc= - (m1R1cosθ1+m2R2cosθ2+m3R3cosθ3)
= - ∑ miRi cosθi
mcRcsinθc= - (m1R1sinθ1+m2R2sinθ2+m3R3sinθ3)
= - ∑ miRi sinθi ;Static Balance/Single Plane Balance;Static Balancing Machine;Static Balancing Machine;Example of Static Balancing;;Example of Static Balancing;Balancing of non-disk like rigid rotordynamic balance/two-plane balance;This kind of imbalance can only be detected by means of a dynamic test in which the rotor is spinning.
It is called dynamic imbalance.
The left rotor is statically balanced and dynamically unbalanced.
The criterion for the balancing of a non-disk rigid rotor is:
Both the vector sum of all inertia forces and the vector sum of all moments of inertia forces about any point must be zero, i.e.
∑Fi=0 and ∑Mi=0 ;Dynamic Balance;Dynamic Balance;在P面上有:
与x轴正向的夹角为
θx=arctan[(mbrb)y/(mbrb)x]=198.43°
在Q面上有:
与x轴正向的夹角为
θx=arctan[(mbrb)y/(mbrb)x]=161.57;Homework ;Dare you go surfing?
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