For the system shown in Figure 2, u(t) and y(t) denote the absolute displacements of Building A and Building B, respectively. The two buildings are connected using a linear viscous damper with damping coefficient c. Due to construction activity, the floor mass of Building B was estimated that vibrates with harmonic displacement that is described by the following function: y(t) = yocos(2πft). Figure 2: Single-degree-of-freedom system in Problem 2. Please compute the following related to Building A: (a) Derive the equation of motion of the mass m. (20 points) (b) Find the expression of the amplitude of the steady-state displacement of the mass m. (10 points
For the system shown in Figure 2, u(t) and y(t) denote the absolute displacements of Building A and Building B, respectively. The two buildings are connected using a linear viscous damper with damping coefficient c. Due to construction activity, the floor mass of Building B was estimated that vibrates with harmonic displacement that is described by the following function: y(t) = yocos(2πft). Figure 2: Single-degree-of-freedom system in Problem 2. Please compute the following related to Building A: (a) Derive the equation of motion of the mass m. (20 points) (b) Find the expression of the amplitude of the steady-state displacement of the mass m. (10 points
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter10: Force And Force-related Variables In Engineering
Section: Chapter Questions
Problem 28P
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For the system shown in Figure 2, u(t) and y(t) denote the absolute displacements of Building A and
Building B, respectively. The two buildings are connected using a linear viscous damper with damping
coefficient c. Due to construction activity, the floor mass of Building B was estimated that vibrates with
harmonic displacement that is described by the following function: y(t) = yocos(2πft).
Figure 2: Single-degree-of-freedom system in Problem 2.
Please compute the following related to Building A:
(a) Derive the equation of motion of the mass m. (20 points)
(b) Find the expression of the amplitude of the steady-state displacement of the mass m. (10 points
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