In this study, the effect of support values on the natural frequency and critical flow velocity of a straight pipe conveying laminar flowing fluid is studied. The aim of this work is deriving a new analytical model to perform a general study to investigate the dynamic behavior of a pipe under general boundary conditions by considering the supports as compliant material with linear and rotational springs. This model describes both the classical (simply support, free, built, guide) and the

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... ned boundary condition and it is not required to derive a new frequency equation if the boundary conditions is changed ,also the result will be near to reality by knowing the physical parameters for the compliant material and the pipe.