مدل اجزای مرزی تقابل دوگانه برای محیط نیم‌فضای حفره‌دار تحت ضربه‌ی اسکالر سطحی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 گروه مهندسی عمران، واحد علوم و تحقیقات، دانشگاه آزاد اسلامی، تهران، ایران

2 گروه مهندسی عمران، واحد زنجان، دانشگاه آزاد اسلامی، زنجان، ایران

چکیده

در این مقاله به ارائه مدل یک محیط نیم‌فضای دوبعدی در حضور یک حفره دایره‌ای زیرسطحی تحت ضربه‌ی اسکالر یکنواخت سطحی پرداخته شده است. در این میان از روش اجزای مرزی تقابل‌دوگانه استفاده شده است که فرآیند شبکه‌بندی را روی مرز هندسه مدل و در صورت نیاز در اندک نقاط درونی متمرکز می‌سازد. سهولت در فرمول‌بندی و تحلیل گام به گام گذرا در عدم نیاز به هسته‌ها و حل اساسی حوزه زمان از مشخصات بارز این روش محسوب می‌شود. ابتدا ضمن معرفی روش و ارائه مختصر فرمول‌بندی، با تحلیل یک مثال کاربردی، الگوریتم تهیه شده مبتنی بر رویکرد مزبور صحت‌سنجی شده است. سپس با مدل‌سازی یک محیط نیم‌فضای حفره‌دار، تغییرمکان گذرا در نقاط مختلف سطح زمین و پیرامون حفره در برابر تحریک سطحی فشاری از نوع موجک ریکر حساسیت سنجی شده است. نتایج نشان داد حضور حفره نه تنها در تغییر الگوی پراکنش بلکه در تشکیل نواحی امن در پشت جبهه موج مؤثر است. استفاده از این روش کارا در حوزه ژئوتکنیک لرزه‌ای به ویژه در تحلیل‌های حاصل از انفجار سطحی به کلیه محققان توصیه می‌شود.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

A DR-BEM Model for a Half-Space Including the Cavity under Scalar Surface Pulse

نویسندگان [English]

  • Pouya Kavandi 1
  • Navid Ganjian 1
  • Mehdi Panji 2
1 Department of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 Department of Civil Engineering, Zanjan Branch, Islamic Azad University, Zanjan, Iran
چکیده [English]

In this paper, a two-dimensional half-space model is presented in the presence of a subsurface circular cavity under a uniform surface scalar pulse. In this regard, a dual reciprocity boundary element method (DR-BEM) was successfully developed, in which the discretizing process was only applied to the boundary of the model as well as a few internal points. The simple formulation and step-by-step transient analysis in the absence of time-domain fundamental solutions were some of the characteristics of the implemented approach. First, by introducing the method and briefly presenting the formulation, a time-domain algorithm was prepared based on the mentioned approach, then it was validated by comparing with the existing analytical solutions. Moreover, by modeling a half-space domain including a subsurface circular cavity, the transient displacement was obtained at different points of the ground surface and the cavity wall, subjected to the surface pulse of the Ricker wavelet type function. The results showed that the presence of the cavity was effective not only in changing the distribution pattern, but also in the formation of safe areas behind the wave front. The efficient approach is recommended to all researchers in the field of geotechnical earthquake engineering, especially in the analysis of surface explosions.

کلیدواژه‌ها [English]

  • DR-BEM
  • half-space
  • Transient response
  • Subsurface cavity
  • Surface Pulse

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