It is proposed to transport a precision electronic equipment of weight W = 5000 N by...
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It is proposed to transport a precision electronic equipment of weight W₁ = 5000 N by a trailer. The electronic equipment is placed in the trailer on a rubber mount of stiffness k₁ = 10,000 N/m. The trailer's leaf springs have a total stiffness of k₂ = 50,000 N/m and the tires have a total stiffness of k3 = 20,000 N/m. The trailer body has a weight of W₂ = 2500 N and the unsprung weight is W3 = 1000 N. Due to road repairs, the trailer encounters a step change of 0.1 m in the level of the road as shown in Fig. 6.45(a). By modeling the trailer-electronic equipment system as two- and three-degree-of-freedom systems as shown, respectively, in Figs. 6.45(b) and (c), determine the maximum displacement, velocity, and accelerations experienced by the electronic equipment in each case. Suggest a method of reducing the maximum acceleration of the electronic equipment by 25 percent. Trailer body (W₂ = 4000 N) Trailer leaf springs (k₂3 = 2000 N/m) Unsprung weight, W3 = 1000 N W₁ <= 1500 N 5 WWW (b) Precision electronic equipment (W₁ = 1500 N) W₁ = 1500 N k₁ W₂ ww = 4000 N ww Stiffness of equipment mount (k₁ = = 20,000 N/m) Tires (k3 = 25,000 N/m) T z = 0.1m X1 W₁ = 1500 N W₂ = 4000 N k₂ ww k3 Fwww W3 = 1000 N ww (d) FIGURE 6.45 Three models of a trailer-carrying electronic equipment. X1 X3 It is proposed to transport a precision electronic equipment of weight W₁ = 5000 N by a trailer. The electronic equipment is placed in the trailer on a rubber mount of stiffness k₁ = 10,000 N/m. The trailer's leaf springs have a total stiffness of k₂ = 50,000 N/m and the tires have a total stiffness of k3 = 20,000 N/m. The trailer body has a weight of W₂ = 2500 N and the unsprung weight is W3 = 1000 N. Due to road repairs, the trailer encounters a step change of 0.1 m in the level of the road as shown in Fig. 6.45(a). By modeling the trailer-electronic equipment system as two- and three-degree-of-freedom systems as shown, respectively, in Figs. 6.45(b) and (c), determine the maximum displacement, velocity, and accelerations experienced by the electronic equipment in each case. Suggest a method of reducing the maximum acceleration of the electronic equipment by 25 percent. Trailer body (W₂ = 4000 N) Trailer leaf springs (k₂3 = 2000 N/m) Unsprung weight, W3 = 1000 N W₁ <= 1500 N 5 WWW (b) Precision electronic equipment (W₁ = 1500 N) W₁ = 1500 N k₁ W₂ ww = 4000 N ww Stiffness of equipment mount (k₁ = = 20,000 N/m) Tires (k3 = 25,000 N/m) T z = 0.1m X1 W₁ = 1500 N W₂ = 4000 N k₂ ww k3 Fwww W3 = 1000 N ww (d) FIGURE 6.45 Three models of a trailer-carrying electronic equipment. X1 X3
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Solution a Twodegreeoffreedom system The equation of motion for the trailerelectronic equipment system can be written as m1x1 m2x2 k1x1 k2x2 F where m1 2500 kg trailer body m2 1500 kg electronic equip... View the full answer
Related Book For
Thermodynamics An Engineering Approach
ISBN: 978-0073398174
8th edition
Authors: Yunus A. Cengel, Michael A. Boles
Posted Date:
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