The effect of an elastic foundation and of dissipative forces on the stability of fluid-conveying pipes

Lottati, I.; Kornecki, A.

doi:10.1016/s0022-460x(86)80012-8

Cited by 57 publications

(31 citation statements)

References 16 publications

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“…By increasing u, some eigenfrequencies become complex and a positive imaginary part for one of them induces a #utter-type instability. The critical nondimensional velocity u A for the onset of instability is plotted in Figure 2 as a function of for several values of the elastic foundation sti!ness s. Up to 100 modes have been used at the highest values of u and s. The value of u A clearly depends on , and the elastic foundation modulus s has a stabilizing e!ect, as noted in Lottati & Kornecki (1986).…”

Section: Global Stabilitymentioning

confidence: 89%

“…Free motion of the pipe is assumed, so that f (x, t)"0 in equation (3). Following Lottati & Kornecki (1986), the dynamics of the cantilevered (clamped}free) pipe is analysed by calculating its eigenfrequencies H , j"1, 2 , N, via a standard Galerkin method (Gregory & PamK doussis 1966), y(x, t)" , H H (x)e\ SHR, H (x) being the jth eigenmode of the pipe without #ow and elastic foundation (u"0, s"0). These frequencies will be referred to as global.…”

Section: Global Stabilitymentioning

confidence: 99%

See 1 more Smart Citation

Local and Global Instability of Fluid-Conveying Pipes on Elastic Foundations

Doaré

Langre

2002

Journal of Fluids and Structures

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Section: Global Stabilitymentioning

confidence: 89%

Section: Global Stabilitymentioning

confidence: 99%

Local and Global Instability of Fluid-Conveying Pipes on Elastic Foundations

Doaré

Langre

2002

Journal of Fluids and Structures

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“…Maltseva [11], S.V. Lilkova-Markova [12], I. Lottati [13] и др. There are many works connect with determine of the free oscillation.…”

Section: Introductionmentioning

confidence: 99%

Effect of Internal Pressure on Parametric Vibrations and Dynamic Stability of Thin-Walled Ground Pipeline Larger Diameter Connect with Elastic Foundation

2016

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Abstract. The article describes the research methodology of parametric vibrations and dynamic stability of ground thin-walled large-diameter pipeline. The equation of motion of the middle surface of the cylindrical shell element based on elastic resistance of ground. To determine the frequency of free oscillations using the assumptions of the semimomental theory of cylindrical shells and get a complete system of equations for the case of an articulated fixing of the cylindrical shell. Solving the resulting system in analytical form the expression for determining the square of the frequency of free oscillations of a thin-walled ground gas pipeline of large diameter. The methodology of the study of the dynamic stability of a gas pipeline under unsteady effects of internal operating pressure, and the parameter of the longitudinal compressive force, using Mathieu equations. With the help of the Bogolyubov-Mitropolsky techniques built area of dynamic instability in the form of Ince-Strutt diagram for different values of the internal pressure of the pipeline section, the parameter of the longitudinal compressive force, and parameter of thin-walled h / R.

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“…If such a pipe conveys #uid with the critical #ow velocity it loses stability by #utter [3,4]. Becker et al [5] and Lottati and Kornecki [6] found that the critical #ow velocity of a pipe on a Winkler foundation is higher than the critical #ow velocity of the same pipe without a foundation (Becker et al [5] considered only cantilevered pipes while Lottati and Kornecki [6] studied cantilevered as well as clamped}pinned pipes). Thus, a Winkler foundation is proved to have a stabilizing e!ect on #uid conveying cantilevered pipes unlike the case of cantilevered beams axially compressed by follower forces.…”

Section: Introductionmentioning

confidence: 99%