Transient Solution of Impulsive Loads on Half-Space Surface
Date Issued
2009
Date
2009
Author(s)
Li, Yueh-Sheng
Abstract
Typhoons, hurricanes or tornadoes, such as cyclostrophic winds can cause serious disasters. Atmospheric scientists, or meteorologists, focus on the reasons for their generation, but in fact these winds should impact the earth and ground. Even if it is very subtle, it is also worthy to explore. The method of analyzing the half-space problem in the elastic-wave-propagation science is used in this thesis to analyze the possible effects on the earth and ground induced by typhoons or hurricanes. One is thought as the torsional-shear effect induced by the wind stress. Another is the vertical-pressure effect induced by the air pressure of the storms. This thesis features that the wind field and air pressure field studied and published by Jelesnianski are used as the loads in order to simulate the real situation and differs from previous research of the half-space problems because the loads act on whole surface of the half-space. Regarding the torsonal-shear-effect part, the analytic solutions which don’t cover the whole half-space are found out by using the tool books of integral tables and some hypothesis. The partial solutions are made up by using the Durbin method which has also been used to prove that the analytic solutions are correct. The numerical solutions of the responses on the surface of the half-space induced by the unit-step loads are also obtained by the Durbin method. The analytic and numerical methods are also collocated to analyze the surface responses of the half-space induced by the impulsive loads within in the vertical-pressure-effect paragraph in which the Rayleigh-wave motion doesn’t appear. The response in the partial area of the half-space that Mitra did not analyze are also solved by the numerical method in this part. The ultimate goal of this thesis is providing those who want to know more about the mechanical behavior of cyclostrophic winds or elastic waves science researchers with a direction to connect the two kinds of science, then more results may be explored in the future.
Subjects
typhoon
hurricane
tornado
cyclostrophic wind
half-space
dynamicelasticity
torsional
shear
vertical pressure
SDGs
Type
thesis
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