波浪與上下相連複合式透水彈性潛堤互制分析

Abstract

本研究以理論解析探討波浪與上下相疊複合式透水彈性潛堤互相作用之問題，延伸Lan et al.（2013）提出之左右相連透水彈性潛堤理論與解析方法進行求解。兩種複合潛堤之材料皆為均質且等向透水之彈性介質。在求解上，將問題的領域區分為五個部分，藉由交界面邊界條件的連續性，即潛堤前後材質的相連交界面、潛堤與流體交界面處之動力邊界條件壓力連續與質量通率連續，配合特徵值正交特性將波浪與複合式透水彈性潛堤互制問題聯立求解，據以求得波浪與複合式透水彈性潛堤之解。文中分別探討複合式透水彈性潛堤之影響參數如上下層高度改變、剪力模數變化對波浪的影響。Wave propagation over a stack-type combined submerged poro-elastic structure with different materials is investigated theoretically. The theory of Lan et al. (2013) is extended to derive a new analytical solution for describing the interaction between waves and a combined poro-elastic submerged structure. Linear wave theory is used to analyze wave motion based an extending Biot's theory including the turbulent frictional effect. In the present approach, the problem is divided into five domains in which matching boundary conditions as well as dynamic and kinematic conditions are employed in each connection region. Mass conservation of the poro-elastic structure and the equation of state for pore fluid are also used to arrive at the wave fields and displacement of the poro-elastic structure. The effects of influence parameters on the wave field are discussed in this study for the combined poro-elastic structure with various heights and shear modulus of different layers.