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Complex Resonant Ice Shelf Vibrations
SIAM Journal on Applied Mathematics ( IF 1.9 ) Pub Date : 2021-07-20 , DOI: 10.1137/20m1385172
L. G. Bennetts , M. H. Meylan

SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1483-1502, January 2021.
The problem of ice shelf vibrations forced by incident waves from the open ocean is considered, using a linear hydroelastic model involving combined thin-plate and potential-flow theories. Complex resonances are shown to generate near-resonant ice shelf responses. An efficient algorithm is developed to capture the complex resonances, based on a homotopy, and initialized with the real-valued eigenfrequencies of a problem in which the ice shelf and subshelf water cavity are uncoupled from the open ocean. It is shown the complex resonances may be used to approximate the reflection coefficient in the frequency domain and the large-time ice shelf response to an incident wave packet. Shelf thickening is shown to have a major effect on complex resonances at midrange frequencies, resulting in difficulty exciting certain near resonances in transient problems.


中文翻译:

复杂共振冰架振动

SIAM 应用数学杂志,第 81 卷,第 4 期,第 1483-1502 页,2021 年 1 月。
使用涉及组合薄板和势流理论的线性水弹性模型,考虑了由来自公海的入射波迫使冰架振动的问题。显示复杂的共振会产生近共振的冰架响应。开发了一种有效的算法来捕获基于同伦的复杂共振,并使用冰架和亚架水腔与公海分离的问题的实值特征频率进行初始化。结果表明,复共振可用于近似频域中的反射系数和冰架对入射波包的大时间响应。架子增厚被证明对中频的复杂共振有重大影响,
更新日期:2021-09-01
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