Present the equations of motion of the attached two-degree-of-freedom system in the main coordinate system. Determine a value for α such that the equations of motion can be solved in the principal coordinate system. If it is assumed that the type of damping is Rayleigh damping (10% proportional to mass and the rest proportional to stiffness), then determine the relative damping coefficient and damping constants for the structure.
Present the equations of motion of the attached two-degree-of-freedom system in the main coordinate system. Determine a value for α such that the equations of motion can be solved in the principal coordinate system. If it is assumed that the type of damping is Rayleigh damping (10% proportional to mass and the rest proportional to stiffness), then determine the relative damping coefficient and damping constants for the structure.
Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter29: Troubleshooting And Typical Operating Conditions For Commercial refrigeration
Section: Chapter Questions
Problem 16RQ
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Present the equations of motion of the attached two-degree-of-freedom system in the main coordinate system.
Determine a value for α such that the equations of motion can be solved in the principal coordinate system.
If it is assumed that the type of damping is Rayleigh damping (10% proportional to mass and the rest proportional to stiffness), then determine the relative damping coefficient and damping constants for the structure.
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