Numerical Initial Value Problems in Ordinary Differential Equations

Applied Numerical Analysis. By C.F. Gerald. Pp. xii, 340. £3·60. 1970. (Addison-Wesley.)

Recent research advances in the dynamic behavior of shells: 1989-2000, Part 1: Laminated composite shells

This paper is the second part of the two-part review article presenting an overview of mechanics of pipes conveying fluid and related problems such as the fluid-elastic instability under conditions of turbulence in nuclear power plants. In the first part, different types of modeling, dynamic analysis and stability regimes of pipes conveying fluid restrained by elastic or inelastic barriers were described. The dynamic and stability behaviors of pinnedpinned, clamped-clamped, and cantilevered pipes conveying fluid together with curved and articulated pipes were discussed. Other problems such as pipes made of viscoelastic materials and active control of severe pipe vibrations were considered. The first part was closed by conclusions highlighting resolved and nonresolved controversies reported in the literature. The second part will address the problem of fluidelastic instability in single- and twophase flows and fretting wear in process equipment, such as heat exchangers and steam generators. Connors critical velocity will be discussed as a measure of initiating fluidelastic instability. Vibro-impact of heat exchanger tubes and the random excitation by the cross-flow can produce a progressive damage at the supports through fretting wear or fatigue. Antivibration bar supports used to limit pipe vibrations are described. An assessment of analytical, numerical, and experimental techniques of fretting-wear problem of pipes in heat exchangers will be given. Other topics related to this part include remote impact analysis and parameter identification, pipe damage-induced by pressure elastic waves, the dynamic response and stability of long pipes, marine risers together with pipes aspirating fluid, and carbon nanotubes conveying fluid. DOI: 10.1115/1.4001270

Mechanics of Pipes Conveying Fluids—Part II: Applications and Fluidelastic Problems

Variational differential quadrature: A technique to simplify numerical analysis of structures

Dynamic pressure distribution on a cylinder due to wave diffraction

Application of Rayleigh-Ritz and Galerkin methods to non-linear vibration of plates

The finite element method for hydroelastic instability of underwater towed cylindrical structures

Finite-element models (FEMs) of ocean acoustic waveguides are capable of predicting the full wave solution including the effect of inhomogeneities and interfaces. However the method appears computationally feasible at present only for low to intermediate frequencies. The FEM discussed in this paper treats the radiation boundary condition involving multiple propagating modes using a penalty function approach. The effect of a point source has been represented as a pressure boundary condition on a small boundary surrounding the source. The FEM has been validated with a few examples of ideal waveguides. The FE results for a range and depth dependent parallel waveguide--an ASA benchmark problem [F. B. Jensen and C. M. Ferla, J. Acoust. Soc. Am. 87, 1499-1520 (1990)]--compare well with published results.

Finite-element modeling of depth and range dependent acoustic propagation in oceanic waveguides

Stability of initially stressed square plates with square openings

C.P. Vendhan

Papers

Dynamic pressure distribution on a cylinder due to wave diffraction

Application of Rayleigh-Ritz and Galerkin methods to non-linear vibration of plates

The finite element method for hydroelastic instability of underwater towed cylindrical structures

Finite-element modeling of depth and range dependent acoustic propagation in oceanic waveguides

Stability of initially stressed square plates with square openings