317 t-PBE $BMDVMBUJPOT Since a linear system bears the weight of the work while it performs a reciprocating linear motion, the load exerted on the system can vary depending on the work's center of gravity, thrust acting position change, and the speed changes by starting, stopping and acceleration, deceleration. It is necessary to take these conditions into consideration when selecting a linear system. Table-5. Use Conditions and Load Calculation Formulas Type Condition of Use and Load 1 Horizontal Axis 2 Vertical Axis Type Condition of Use and Load 3 Perpendicular to Horizontal Axis 4 In Acceleration, Deceleration W: Acting Load(N) P1,P2,P3,P4: Load applied to the Linear System(N) X,Y: Linear System Span (mm) V:Moving Speed (mm/sec) t1: Acceleration Time(sec) t3: Deceleration Time(sec) Fig-3. Stepped Load Fluctuation ℓ 1 ℓ P 2 ℓ 2P Pn ℓ n 1P ℓ P ℓ P (a) ℓ P (b) Fig-4. Flat Fluctuation Load Fig-5. Sinusoidal Load Fluctuation Y y X P P P P 1 3 4 2 W P P 1 2 P 3 P 4 W 0 0 1 P P2 P3 4P X P2S y P1 P3 P2 P4 P1S P3S W P4S 0 ℓ 1 W Thrust Thrust W 2 1 P P 3 P 4 P 0 Y X P3S P1S P P4S 2S P1 P2 ·P2S P1S 4 P 3 P P 3S·P4S W ℓ1 P P 1 2 W P4 P3 1 P P2 P3 4 P t t t 1 2 3 t v1 X ℓ 1 Direction of Travel Time (mm/sec) (sec) W Thrust Thrust Velocity 1 0 y0 P1= W+ W+ W 4 2X 2Y 1 0 y0 P2= W- W+ W 4 2X 2Y 1 0 y0 P3= W+ W- W 4 2X 2Y 1 0 y0 P4= W- W- W 4 2X 2Y ℓ1 P1=P2=P3=P4= W 2X y0 P1S=P2S=P3S=P4S= W 2X ℓ1 P1=P2=P3=P4= W 2Y 1 0 P1S=P3S= W+ W 4 2X 1 0 P2S=P4S= W- W 4 2X tAcceleration at Starting tDeceleration at Stopping tConstant Speed g:Gravitational Acceleration=9.8×103mm/sec2 1 2V1·ℓ1 P1=P3= W 1+ 4 g·t1·X ( ) 1 2V1·ℓ1 P2=P4= W 1- 4 g·t1·X ( ) 1 2V1·ℓ1 P1=P3= W 1- 4 g·t3·X ( ) 1 2V1·ℓ1 P2=P4= W 1+ 4 g·t3·X ( ) 1 P1=P2=P3=P4= W 4 Linear Guide Calculation of Life Span of Linear Systems 2
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