| Popis: |
In most vibration structural problems, the value of damping is less than unity. Such a small amount of damping may increase near or exceed unity under certain special circumstances. Critically damped and overdamped solutions are completed until the final expressions are generated and an indication provided by MATLAB as to how these expressions depend on viscous damping ratios, natural frequencies, and initial conditions. The developed equations of various damping systems, which are commonly employed in vibration analyses, are compared, with several important observations are noted. Natural frequency is of primary importance when controlling the settling time of critically damped and overdamped vibration responses. Initial conditions are also considered main factors that affect critically damped and overdamped vibration peak responses. Damping plays a crucial role in the peak response of an overdamped system. A direct relationship between the damping ratio and the peak response is observed, whereas an inverse relationship exists between the damping ratio and the settling time. Therefore, critically damped and overdamped systems exhibit an identical response in the large scale perspective, whereby they first rise and then fall. In the zoomed scale, the peak response of the overdamped system is lower than that of the critically damped system, and the latter falls faster than the former. No cyclic response is observed, and the vibration statement is abnormally used for both critically damped and overdamped systems. |
