IJE TRANSACTIONS C: Aspects Vol. 31, No. 12 (December 2018) 2009-2015   

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R. Nikbakht and F. Behnamfar
( Received: March 18, 2018 – Accepted in Revised Form: August 17, 2018 )

Abstract    Passing underground trains induce vibrations transmitted to the ground surface and the nearby structures. Ordinarily, these vibrations do not result in structural damage but can harm nonstructural elements and disturb the occupants. These effects are more pronounced when evaluating buildings like hospitals, laboratories, museums, etc., and their assessment is an important design need. To respond to this requirement, in this paper response spectra for passing trains moving with different velocities are calculated. Using these spectra, without resorting to the time consuming and costly analysis of a tunnel-soil system under moving loads, the maximum structural responses can be calculated rapidly. To make this end, the soil-tunnel interaction is modeled using a three dimensional (3D) finite difference scheme under the standard moving train loads. The dynamic analysis of such a system results in the ground surface vibration time histories at different distances from the tunnel axis. Then the maximum values of acceleration, velocity, and displacement responses are calculated for a single degree of freedom (SDOF) dynamical system. The above calculations are accomplished for different standard trains, train velocities, tunnel depths, distances from tunnel, and soil types, and are presented as response acceleration, velocity, and displacement spectra.


Keywords    Underground Tunnel; Soil-tunnel Interaction; Surface Vibrations; Response Spectra Surface Structures



در اثر عبور قطارهای زیر زمینی ارتعاشاتی در سطح زمین ایجاد و به سازه های مجاور آن انتقال می یابد. این ارتعاشات باعث خرابی سازه ای نمی شود اما گاهی می تواند اثرات مخرب غیر سازه ای و اذیت و آزار ساکنین این ساختمان ها را به خصوص در سازه هایی نظیر بیمارستانها، آزمایشگاه ها، موزه ها و غیره به همراه داشته باشد. با توجه به نیاز مهندسین به ارزیابی سریع ارتعاشات سطحی ایجاد شده ناشی از حرکت قطارهای زیر زمینی و تحلیل عملکرد سازه، در این کار به تهیه طیف های طراحی در اثر حركت قطارهايی با سرعت های مختلف پرداخته شده است. با استفاده از این نمودارها بدون صرف زمان زیاد براي تحليل يك مدل پيچيده خاك-تونل-سازه تحت بار متحرك می توان به حداكثر پاسخ سازه پی برد. برای این کار مدلسازی اندر کنش تونل و خاك، با استفاده از روش عددی تفاضل های محدود به صورت سه بعدی انجام شده و بارگذاری آن به صورت متحرك برای قطارهای استاندارد انجام می گيرد. از تحليل ديناميكی تاريخچه زمانی اين سيستم ارتعاشات سطح زمين در فواصل مختلف از محور تونل به دست می آيد. با بهره گيری از تاريخچه اين ارتعاشات سطحی، واكنش ديناميكی و طيف های طراحی سازه یک درجه آزادی محاسبه می گردد. اين كار برای انواع قطارهای استاندارد، سرعت قطار، عمق تونل، فاصله از تونل و جنس خاک انجام شده و به صورت طیف های طراحی تغييرمكان، سرعت و شتاب ارائه مي گردد.


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