Modified Linear Approximation for Assessment of Rigid Block Dynamics
Publish place: Structural Engineering & Geotechnic، Vol: 1، Issue: 1
Publish Year: 1390
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_QSEJ-1-1_008
تاریخ نمایه سازی: 1 مرداد 1397
Abstract:
This study proposes a new linear approximation for solving the dynamic response equations of a rocking rigid block. Linearization assumptions which have already been used by Hounser and other researchers cannot be valid for all rocking blocks with various slenderness ratios and dimensions; hence, developing new methods which can result in better approximation of governing equations while keeping simplicity is necessary. In this paper, a new linear approximation is derived for solving the deferential equations of a rocking block in order to include wider range of blocks with various slenderness. The proposed method is verified by numerical solutions of the governing equations utilizing two methods of: average acceleration and fourth order Runge-Kutta. Verifications revealed more reasonable accuracy of the proposed method in comparison with the current linearization assumptions.
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Authors
Vahid Sharif
Department of Engineering and Supervision, Ministry of Petroleum, Tehran, Iran