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Dynamic stress concentration of an elliptical cavity in a semi-elliptical hill under SH-waves

Earthquake Engineering and Engineering Vibration 2021年第2期20卷 347-359页

作者： Qi Hui Chu Fuqing Guo Jing College of Aerospace and Civil Engineering Harbin Engineering UniversityHarbin 150001China

The method of wave-function expansion in elliptical coordinates,elliptical cosine half-range expansion and Mathieu function were applied to obtain an exact analytical solution of the dynamic stress concentration factor(DSCF)around an elliptical cavity in a shallow,semi-elliptical *** infinite system of simultaneous linear equations for solving this problem was established by substituting the wave expression obtained by the Mathieu function including the standing wave expression of elliptical lining given herein into the boundary condition obtained by the region-matching *** finite equations system with unknown coefficients obtained by truncation were solved numerically,and the results in the case of an ellipse degenerating into a circle were compared with previous results to verify the accuracy of the *** effects of different aspect ratios,incident wave angles and aperture ratios on the dynamic stress concentration around the elliptical cavity were *** numerical results,when the elliptical hill was changed into a circular one,were analyzed and compared in *** engineering,this model can be regarded as a semi-cylindrical hill with an elliptical cylindrical unlined tunnel under the action of SH waves,and the results are significant in aseismic design.

关键词： SH waves dynamic stress concentration factor(DSCF) elliptical coordinate Mathieu function

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Evaluation of Two-center One- and Two-electron Integrals over Slater Type Orbitals

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Chinese Journal of Chemistry 2006年第5期24卷 603-608页

作者： YAKAR, Yusuf OZMEN, Ayhan ATAV, Ulfet Department of Physics Faculty of Arts and Science at Aksaray Nigde University Aksaray Turkey Department of Physics Faculty of Arts and Science Selcuk University Konya Turkey

A formulation previously presented by the authors for coulomb integrals was generalized to other two-center integrals, except exchange integral. Within this frame, molecular integrals were expressed in terms of some new functions closely related to the well-known incomplete gamma functions and these functions recursively evaluated. Special issues arising in the case of hybrid integrals were addressed, and the results were compared with the ones found in the literature.

关键词： overlap integral hybrid integral coulomb integral Slater type orbital elliptical coordinate

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