Developing a Simplified Method to Investigate the Dynamic Behavior of Fluid Conveying Pipes under Mean Internal Pressure

Natural frequencies and critical velocities are the basic dynamic characteristics of fluid conveying pipes. Investigation vibrations pipes to control their behavior is one main topics these structures. This paper presents a simplified approach determine natural with different typical boundary conditions under mean internal pressure due flow. The suggested by reducing order mass, damping, stiffness based on concepts Galerkin method. results method validated experimental compared various numerical methods reported in literature. effects assessed, values calculated for mode shapes significantly better all range less than flow velocity. Also, presence absence explicit formulas obtained approach. has lower computational cost other more complex techniques, its relative errors 5%.