Page 121 - Singiresu S. Rao-Mechanical Vibrations in SI Units, Global Edition-Pearson (2017)
P. 121
118 Chapter 1 Fundamentals oF Vibration
1.6* Develop a mathematical model for the tractor and plow shown in Fig. 1.66 by considering the
mass, elasticity, and damping of the tires, shock absorbers, and plows (blades).
Shock absorber
Plow
FiGure 1.66 A tractor and plow.
section 1.7 spring elements
1.7 Determine the equivalent spring constant of the system shown in Fig. 1.67.
k 1 k 1
k 2 k 4
k 3 k 3
k 5
FiGure 1.67 Springs in
series-parallel.
1.8 Consider a system of two springs, with stiffnesses k 1 and k 2 , arranged in parallel as shown in
Fig. 1.68. The rigid bar to which the two springs are connected remains horizontal when the

