Abstract
In this research a simply supported beam is used as a master structure with unknown number of
attachments (fuzzy substructure) which is modeled as a system of 1-DOF attachments. Two types
of attachments models were studied, namely 1-DOF mass attachment model and 1-DOF massspring attachment model. It is shown that the effect of attachments on the master structure natural
frequencies when modeled as (mass-spring substructure) is larger than that when modeled as
(mass substructure) for the same attachment mass. Engineering Statistics and normal distribution
were used to find the values of the attachments to be added to the simply supported beam to
improve the dynamical properties of the master structure and to find the best distribution of the
attachment. The results also show that the distribution of the additional substructure can produce
a great change in the natural frequencies so that the proposed statistical approach can be used to
find the best distribution of attachments and number, value and location of the additional
substructure
attachments (fuzzy substructure) which is modeled as a system of 1-DOF attachments. Two types
of attachments models were studied, namely 1-DOF mass attachment model and 1-DOF massspring attachment model. It is shown that the effect of attachments on the master structure natural
frequencies when modeled as (mass-spring substructure) is larger than that when modeled as
(mass substructure) for the same attachment mass. Engineering Statistics and normal distribution
were used to find the values of the attachments to be added to the simply supported beam to
improve the dynamical properties of the master structure and to find the best distribution of the
attachment. The results also show that the distribution of the additional substructure can produce
a great change in the natural frequencies so that the proposed statistical approach can be used to
find the best distribution of attachments and number, value and location of the additional
substructure
Keywords
dynamic
fuzzy
multi-body
structure analysis
vibration