Consider again the ground-based mechanical oscillator as shown in Figure P3.29a and analyzed in Problem 3.29. Repeat the analysis, this time using the concepts of Thevenin or Norton equivalent circuits and linear graph reduction in the frequency domain, and determine an expression for force transmissibility.
Problem 3.29
Consider the single-degree-of-freedom systems shown in Figure P3.29. The system is represented by a point mass m, and the suspension system is modeled as a spring of stiffness k and a viscous damper of damping constant b. The model shown in
Figure 3.29a is used to study force transmissibility.
Draw its impedance circuit.
The model shown in Figure P3.29b is used in determining the motion transmissibility.
Draw its impedance (or, mobility) circuit
Derive an expression for this common transmissibility functions in terms of the given system parameters.
Figure P3.29
