Integral transform solutions of dynamic response of a clamped–clamped pipe conveying fluid

Dynamic behavior of pipes conveying gas–liquid two-phase flow

“…In this study, the dynamic behavior of pipes conveying gas-liquid two-phase flow is analytically and numerically investigated on the basis of the generalized integral transform technique (GITT), which has been successfully developed in heat and fluid flow applications (Cotta, 1993(Cotta, , 1998Cotta and Mikhailov, 1997) and further applied in solving the dynamic response of axially moving beams (An and Su, 2011), axially moving Timoshenko beams (An and Su, 2014b), axially moving orthotropic plates (An and Su, 2014a), damaged Euler-Bernoulli beams (Matt, 2013a), cantilever beams with an eccentric tip mass (Matt, 2013b), fluidconveying pipes (Gu et al, 2013), the wind-induced vibration of overhead conductors (Matt, 2009) and the vortex-induced vibration of long flexible cylinders (Gu et al, 2012). The most interesting feature in this technique is the automatic and straightforward global error control procedure, which makes it particularly suitable for benchmarking purposes, and the only mild increase in overall computational effort with increasing number of independent variables.…”

Generalized integral transform solution for free vibration of orthotropic rectangular plates with free edges

“…The boundary conditions at free edges of the rectangular plate were treated exactly by carrying out integral transform of the boundary conditions along the free edge direction. Generalized integral transform technique is a hybrid analytical-numerical method that has been applied successfully in a wide range of flow and heat transfer problems [17][18][19][20], as well as in static and dynamic structural analyses [21][22][23][24][25][26][27][28][29][30][31][32][33][34]. In this work, the free vibration of orthotropic thin rectangular plates with a pair of opposite edges clamped and one or two free edges (CSCF, CCCF, CFCF) is studied analytically by using generalized integral transform technique.…”

A semi-analytical method for the dynamic analysis of cylindrical shells with arbitrary boundaries

“…Apart from the various shell theories, a variety of accurate and efficient calculation methods have been proposed one after another for vibration analysis of cylindrical shells, such as Rayleigh-Ritz method (Pradhan et al, 2000), Galerkin method (Haddadpour et al, 2007), discrete singular convolution method , wave propagation approach , the transfer matrix method (Liang and Chen, 2006), finite element method (Kadoli and Ganesan, 2006;Santos et al, 2009), the generalized integral transform technique (Gu et al, 2013), meshless method , a domain decomposition approach (Qu et al, 2013a;Qu et al, 2013b) and homotopy perturbation method (Yazdi, 2013) and so on. These methods mentioned above are proposed to derive the natural frequencies of shells and plates.…”