Abstract: The forced vibration of fluid conveying pipe with elastic support was investigated. Euler-Bernoulli beam was adopted to simplify the mechanical model of the pipe. Greens Function method was used to deduce the dimensionless differential equation of forced vibration and Greens Function of pipes with general supporting formats was obtained. Finally， the general expression of the deflection was obtained. On this basis， dynamic responses of the pipe with one end fixed and the other elastically supported was studied. Differential Transformation method and Galerkin’s Method were utilized to verify the validity and accuracy of the proposed method， and the responses of the pipe under concentrated and distributed force were investigated. The proposed model has advantages compared with other numerical methods because it is capable for offering precise closed solutions.

Key words: fluid conveying pipe, forced vibration, Green’s function method, deflection response, natural frequency