9.3. An automobile, traveling on a rough road, can be modeled for pitch and bounce motions as shown in Fig. 9.18(a). The

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9 3 An Automobile Traveling On A Rough Road Can Be Modeled For Pitch And Bounce Motions As Shown In Fig 9 18 A The 1 (102.76 KiB) Viewed 32 times

9.3. An automobile, traveling on a rough road, can be modeled for pitch and bounce motions as shown in Fig. 9.18(a). The free-body diagram of the automobile, Fig. 9.18(b), leads to the following equations: mx + (kf + kr) x + (krl2 - kfl₁)0 = kjyj + kr yr For motion along 0 (pitch), Joë + (l₂kr - 1₁kf)x + (krl² + kƒl})0 = krl2yr - kfl₁yf, (E2) where m = mass of the automobile, Jo = mass moment of inertia of the automobile, kf (kr) = stiffness of the front (rear) suspension and tires, 1₁ (12) = distance of the front (rear) wheels from the center of gravity, and yf(y) = downward ground displacement of the front (rear) wheels. Solve Eqs. (E1) 95 C.G. 4₁ kf(x - 1₁0 x8₁) Bounce (a) X (b) Pitch 70. (E1) k, (x + 1₂0-xg₂) Figure 9.18 Automobile traveling on rough road.