... oscillation nonlinear spring analytical solution The presence of gas in liquid-conveying pipelines may make the system's dynamic behavior unpredictable. Entrapped gas pockets store and release energy in response to unsteady liquid flow. In particular for rapid events, caused by fast valve maneuvers...

.... However, to the best of the author's knowledge, semi-analytical solution for thermos-elastic dynamic response of structures resting on a Pasternak foundation has not yet been found. The purpose of this paper is to fill this gap, and semi-analytical and analytical methods were proposed. The analytical...

... 04 2015 An analytical model was proposed in this paper to predict the burst pressure of a pipe with geometric eccentricity. With application of the complex elastic potential function method in a bipolar coordinate system, the authors first derived an analytical solution of stresses...

... analysis heat conduction iterative methods petroleum industry pressure vessels quenching (thermal) thermoelasticity thermoelasticity coke drum analytical solution cylindrical shell thermal transient cladding Coke drums are important pressure vessels used in the delayed coking...

... solution. Finally, results of the new method are compared with those obtained from other analytical and numerical methods, and excellent agreement is observed. Since the presented method is a general analytical method, it could be used for validation of numerical solutions or analytical solutions...