TY  - JOUR
T1  - Vibration Control of Structures using Frictional Force
AU - Khanger Mina, Hamed AU - Al-Ashtrai, Waleed 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 21
SP  - 7934
EP  - 7942
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.7934.7942
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.7934.7942
KW  - Dynamic behavior
KW  -cantilever-layered
KW  -Euler-Bernoulli theory
KW  -theoretical
KW  -vanished
KW  -location
AB  - This study investigates the effect of contact areas in the dynamic behavior of mechanical structures
holding by bolts, highlight on the significant of nonlinear frictional force induced between the structural
elements to control the structure vibration response. In this research, the nonlinear partial deferential equation
describing the behavior of cantilever-layered beams has been derived. The equation has been formulated based
on Euler-Bernoulli theory with coulomb friction model. Furthermore, an analytical solution of the derived
equation for structures being in free vibration has been introduced. A structure includes two cantilever-layered
beams connected by bolts has been assembled to validate the derived equation experimentally. A good
agreement between the theoretical and experimental results has been obtained. Both results show that when
the bolts of beams are loosed, then, the 2 beams will vibrate independently. But when the bolts tighten was
increased, the stiffness and damping ratio of the beams were also increased until they reach to a certain
maximum values at certain bolts tighten value. With continuing in increasing the bolts tighten, the value of
stiffness was remained constant but the damping ratio was decreaseduntil it vanished when the bolts tighten
becomes very large and the beams behave as 1 beam of double thick. Therefore, the bolts joints can be used
to improve damping capacity of structure from adjusting each bolt tighten depending on the bolt location.
ER  - 