Some analytical aspects of viscoelastic Lamb¡¯s problem for improving its numerical evaluation

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• 作者：Robert Arcos ; ^{robert.arcos@upc.edu} ; Jordi Romeu ; Arnau Clot ; Meritxell Genesc&agrave
• 关键词：Wave propagation ; Lamb&rsquo ; s problem ; Numerical integration ; Ground motion ; Viscoelastic half-space
• 刊名：Wave Motion
• 出版年：2013
• 出版时间：March, 2013
• 年：2013
• 卷：50
• 期：2
• 页码：226-232
• 全文大小：434 K

文摘

Two analytical modifications of the original viscoelastic time-harmonic Lamb¡¯s problem expressions are presented with the aim of improving their numerical integration efficiency. Firstly, a new change of variable in the Lamb¡¯s problem integrands is proposed, which allows a standardization of the integration sampling vector and a complete spatial-frequency field solution after performing only one numerical integration/transformation. Secondly, the Lamb¡¯s problem static integrands are modified and introduced into the original integrands to reduce their spectral content at high wavenumbers and, therefore, the sampling vector lengths needed to avoid aliasing.