6.101 A heavy machine tool mounted on the first floor of a building, Fig. 6.38(a), has...

 

 

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6.101 A heavy machine tool mounted on the first floor of a building, Fig. 6.38(a), has been modeled 5000 lb/in 50 lb-sec/in = as a three degree of freedom system as indicated in Fig. 6.38(b). (a) For k₁ 10 lb-sec/in., mf 1000 cos 60t lb, find the steady-state k₂ = 500 lb/in., k3= 2000 lb/in., C₁ = C₂ = C3 10 lb-sec²/in., mh mb 2 lb-sec²/in., and F(t) = vibration of the system using the mechanical impedance method described in Section 5.6. (b) If the maximum response of the machine tool head (x3) has to be reduced by 25 percent, how should the stiffness of the mounting (k₂) be changed? (c) Is there any better way of achieving the goal stated in (b)? Provide details. Wall Mounting 5 Machine tool head Base and mounting FIGURE 6.38 Floor k₂ k₂ k₁ (a) F(t) 0000 mh 0000 Floor (equivalent mass, mg) mb elle my Machine tool head (equivalent mass, m) (b) 9 F(t), cutting force Machine tool base (equivalent mass, m) x3(1) 1 x₂ (1) t x₁ (1) 1 DESIGN PROJECT: 6.101 A heavy machine tool mounted on the first floor of a building, Fig. 6.38(a), has been modeled 5000 lb/in 50 lb-sec/in = as a three degree of freedom system as indicated in Fig. 6.38(b). (a) For k₁ 10 lb-sec/in., mf 1000 cos 60t lb, find the steady-state k₂ = 500 lb/in., k3= 2000 lb/in., C₁ = C₂ = C3 10 lb-sec²/in., mh mb 2 lb-sec²/in., and F(t) = vibration of the system using the mechanical impedance method described in Section 5.6. (b) If the maximum response of the machine tool head (x3) has to be reduced by 25 percent, how should the stiffness of the mounting (k₂) be changed? (c) Is there any better way of achieving the goal stated in (b)? Provide details. Wall Mounting 5 Machine tool head Base and mounting FIGURE 6.38 Floor k₂ k₂ k₁ (a) F(t) 0000 mh 0000 Floor (equivalent mass, mg) mb elle my Machine tool head (equivalent mass, m) (b) 9 F(t), cutting force Machine tool base (equivalent mass, m) x3(1) 1 x₂ (1) t x₁ (1) 1 DESIGN PROJECT:

Answer rating: 100% (QA)

Ft Assume mechanical impedence 3311311 32111 311X K42 M n For steady state vibration 13 K ... View the full answer