A counterrotating eccentric mass exciter as shown below is used to determine the Problem 2. vibrational characteristics of a structure of mass M kg. At a speed N rpm, a stroboscope shows the eccentric masses to be at the top at the instant the structure is moving upward through its static equilibrium position, and the corresponding amplitude of vibration is X m. If the unbalance of each wheel of the exciter is em kg-m, determine the following (a) The natural frequency of the structure. (b) Dimensionless damping ratio of the structure. (c) The amplitude of vibration at 1.5N rpm and the angular position of the eccentrics at the instant the structure is moving upward through its equilibrium position. k www www

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A counterrotating eccentric mass exciter as shown below is used to determine the
Problem 2.
vibrational characteristics of a structure of mass M kg. At a speed N rpm, a stroboscope shows the
eccentric masses to be at the top at the instant the structure is moving upward through its static
equilibrium position, and the corresponding amplitude of vibration is X m. If the unbalance of each
wheel of the exciter is em kg m, determine the following
(a) The natural frequency of the structure.
(b) Dimensionless damping ratio of the structure.
(c) The amplitude of vibration at 1.5N rpm and the angular position of the eccentrics at the instant
the structure is moving upward through its equilibrium position.
k
www
www
Transcribed Image Text:A counterrotating eccentric mass exciter as shown below is used to determine the Problem 2. vibrational characteristics of a structure of mass M kg. At a speed N rpm, a stroboscope shows the eccentric masses to be at the top at the instant the structure is moving upward through its static equilibrium position, and the corresponding amplitude of vibration is X m. If the unbalance of each wheel of the exciter is em kg m, determine the following (a) The natural frequency of the structure. (b) Dimensionless damping ratio of the structure. (c) The amplitude of vibration at 1.5N rpm and the angular position of the eccentrics at the instant the structure is moving upward through its equilibrium position. k www www
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