Abstract

Dynamic analysis of thin rectangular elastically supported plates to transient loads is presented. A floating airport is modeled as a horizontal Kirchhoff’s plate, which is elastically supported at the ends, and is subjected to the impact of aircrafts landing and deceleration over its length. This sets the free–free–free–free plate into high-frequency vibration, causing flexural stress waves to travel over the plate. First, the beam natural frequencies and modeshapes in either direction are generated with these complexities. The eigenvalue analysis of the governing differential equation is done, using the weighted summation of the product of the beam modes. The radiation pressure on the bottom side of the plate is included to reduce the frequencies by the added-mass effect. The plate is then subjected to decelerating shock loads. The vibratory response is analyzed by the computationally efficient normal mode analysis. The amplification factor versus the taxiing time of the moving load is generated. This gives insights into the maximum stress encountered under the transient load, as function of taxiing time and support.

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