Modified Linear Approximation for Assessment of Rigid Block Dynamics

[admin]

 

Modified Linear Approximation for Assessment of Rigid Block Dynamics

Vahid Sharif

 

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

 

Hidden Content

Give reaction or reply to this topic to see the hidden content.

Hidden Content

Give reaction or reply to this topic to see the hidden content.

Hidden Content

Give reaction or reply to this topic to see the hidden content.