Affiliation:
1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract
The large-amplitude free vibration problem of uniform slender pipes conveying fluid on a Pasternak foundation is studied using the principle of conservation of total energy. The temporal equation governing the large-amplitude vibrations is directly obtained from this approach by assuming a suitable admissible spatial function that satisfies the boundary conditions of the pipes. It is solved by using a standard numerical integration scheme. The numerical results, in the form of the ratio of the fundamental nonlinear frequency to the linear frequency for both the simply supported and clamped pipes conveying fluid, are presented in tables and figures for various amplitude parameters, flowing velocities of the internal fluid, and the two stiffness parameters of the Pasternak foundation.
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Building and Construction,Civil and Structural Engineering
Cited by
16 articles.
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