The structure shown in figure has a mass of 100 kg and a translational stiffness of 40,000 N/m. It is excited by a harmonic force having an amplitude Po = 500 N and an excitation frequency ω = 15 rad/s. The damping factor for the structure is ξ = 0.1. The initial conditions are u(0) = 6 cm and ώ(0) = 0. For the steady-state vibration determine: (a) The amplitude of the stady-state displacement. (b) Its phase with respect to the exciting force. (c) The maximum velocity and acceleration of the response. (d) Determine the equation that describes the total displaement of the structure as a function of time.
The structure shown in figure has a mass of 100 kg and a translational stiffness of 40,000 N/m. It is excited by a harmonic force having an amplitude Po = 500 N and an excitation frequency ω = 15 rad/s. The damping factor for the structure is ξ = 0.1. The initial conditions are u(0) = 6 cm and ώ(0) = 0. For the steady-state vibration determine: (a) The amplitude of the stady-state displacement. (b) Its phase with respect to the exciting force. (c) The maximum velocity and acceleration of the response. (d) Determine the equation that describes the total displaement of the structure as a function of time.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The structure shown in figure has a mass of 100 kg and a translational stiffness of 40,000 N/m. It
is excited by a harmonic force having an amplitude Po = 500 N and an excitation frequency ω =
15 rad/s. The damping factor for the structure is ξ = 0.1. The initial conditions are u(0) = 6 cm
and ώ(0) = 0. For the steady-state vibration determine:
(a) The amplitude of the stady-state displacement.
(b) Its phase with respect to the exciting force.
(c) The maximum velocity and acceleration of the response.
(d) Determine the equation that describes the total displaement of the structure as a function of
time.
Transcribed Image Text:p(t)=Po Sin wt,
L k/2
m
Rigid
k/2
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