A new spar buoy, 0.5 m diameter, is being designed to carry oceanographic instrumen- tation in the Indian Ocean. At this stage in the design process, the heave motion of the buoy is being modeled as a simple spring-mass-damper system. The current design has an effective mass (a + m) of 650 kg. The design includes 200 kg of lead ballast in this mass. The restoring force is the change in buoyancy as the buoy heaves. The damping for a cylinder of this size is estimated to be 0.28 kN-sec/m. The wave- induced exciting force is assumed to have the form of a sine function with an amplitude of 1.65 kN and a frequency of 0.8 rad/sec. For this wave condition it is desired to keep the maximum amplitude of the motion to less than 1 m. The only flexibility in the design is the amount of lead ballast. You can have either 0, 200, or 400 kg of ballast. What is your choice and why?

A new spar buoy, 0.5 m diameter, is being designed to carry oceanographic instrumen- tation in the Indian Ocean. At this stage in the design process, the heave motion of the buoy is being modeled as a simple spring-mass-damper system. The current design has an effective mass (a + m) of 650 kg. The design includes 200 kg of lead ballast in this mass. The restoring force is the change in buoyancy as the buoy heaves. The damping for a cylinder of this size is estimated to be 0.28 kN-sec/m. The wave- induced exciting force is assumed to have the form of a sine function with an amplitude of 1.65 kN and a frequency of 0.8 rad/sec. For this wave condition it is desired to keep the maximum amplitude of the motion to less than 1 m. The only flexibility in the design is the amount of lead ballast. You can have either 0, 200, or 400 kg of ballast. What is your choice and why?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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