Modified Linear Approximation for Assessment of Rigid Block Dynamics

Subject Areas : Structural Engineering

Vahid  Sharif ¹ (Department of Engineering and Supervision, Ministry of Petroleum, Tehran, Iran)

Received: 2010-09-24 Accepted : 2011-02-25 Published : 2011-08-21

Keywords: Rigid, block, Rocking, Linearization, Equipment,

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