This paper presents an analytical solution to the ground motion of an isosceles hill with slope change under incident SH waves. A new partitioning method, multi-region-matching technique (MRMT), is proposed in this paper to establish an accurate analytical solution model. Based on the complex function method and multipolar coordinate transformation, the infinite algebraic equations are established according to the continuity conditions at the two auxiliary boundaries. Fourier series expansion method in complex-domain is adopted to solve the unknown coefficients in wave field expressions. Numerical results demonstrate the slope of the hill is an important parameter affecting the anti-plane response.

Scattering of anti-plane (SH) waves by a hill with complex slopes / Song, Yunqiu; Li, Xinzhu; Yang, Yong; Sun, Menghan; Yang, Zailin; Fang, Xueqian. - In: JOURNAL OF EARTHQUAKE ENGINEERING. - ISSN 1363-2469. - 26:(2020), pp. 2546-2566. [10.1080/13632469.2020.1767231]

Scattering of anti-plane (SH) waves by a hill with complex slopes

Yunqiu, Song;Xinzhu, Li;
2020

Abstract

This paper presents an analytical solution to the ground motion of an isosceles hill with slope change under incident SH waves. A new partitioning method, multi-region-matching technique (MRMT), is proposed in this paper to establish an accurate analytical solution model. Based on the complex function method and multipolar coordinate transformation, the infinite algebraic equations are established according to the continuity conditions at the two auxiliary boundaries. Fourier series expansion method in complex-domain is adopted to solve the unknown coefficients in wave field expressions. Numerical results demonstrate the slope of the hill is an important parameter affecting the anti-plane response.
File in questo prodotto:
File Dimensione Formato  
Song-2022-Scattering of anti-plane (SH) waves.pdf

non disponibili

Tipologia: 2a Post-print versione editoriale / Version of Record
Licenza: Non Pubblico - Accesso privato/ristretto
Dimensione 4.01 MB
Formato Adobe PDF
4.01 MB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2977681