Vibration of open circular cylindrical shells with intermediate ring supports

Abstract

This paper is concerned with the free vibration of open circular cylindrical shells with intermediate ring supports. An analytical procedure for determining the free vibration frequencies of such shells is developed based on the Flü gge thin shell theory. An open circular cylindrical shell is assumed to be simply supported along the two straight edges and the remaining two opposite curved edges may have any combinations of support conditions. The shell is divided into multiple segments along the locations of the intermediate ring supports. The state-space technique is employed to derive the exact solutions for each shell segment and the domain decomposition method is applied to enforce the geometric and natural boundary/interface conditions along the interfaces of the shell segments and the curved edges of the shell. Comparison studies are carried out to verify the correctness of the proposed method. Exact vibration frequencies are obtained for open circular cylindrical shells with multiple intermediate ring supports.The influence of the number of intermediate ring supports, the locations of the ring supports, the boundary conditions and the variation of the included angle of the shells on the natural frequencies are examined. The exact vibration solutions can be used as important benchmark values for researchers to check their numerical methods and for engineers to design such shell structures.

Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports

“…In Figure 6 From the previous data, the shell frequencies are affected highly as the fluid quantities [11,[31][32][33][34][35] and ring supports are appended [2,5,27,36]. A beam type vibration of CSs crops up when the addition of ring supports are made.…”

Free and Forced Vibration Analysis of Stepped Circular Cylindrical Shells with Several Intermediate Supports Using an Extended Wave Method; a Generalized Approach

“…Analytical modeling of vibrations of uniform shells with interior supports has been a critical issue in the recent analytical studies, perhaps due to requirement of satisfying the continuity and the support conditions simultaneously, like in Qatu (2002), Xiang et al (2002), Zhang and Xiang (2006) and Loy and Lam (1997). Hence, a few researches been conducted in this area, and their proposed methods are numerated and contain several limitations.…”

“…They proposed a state-space technique combined with domain decomposition method in order to satisfy continuity as well as support conditions of the issue. In this direction, Zhang and Xiang (2006) with the same methodology proposed in Xiang et al (2002), solved the problem of free vibrations of a uniform open shell with multiple intermediate Ring Supports (RS). Although the results of the method proposed in Xiang et al (2002) are promising as an analytical method, the applied intermediate RS were not flexible and were only limited in the one direction, i.e.…”

Exact free vibration analysis of open circular cylindrical shells by the method of reverberation-ray matrix

“…A wave propagation approach is introduced by Zhang et al (2001) to carry out frequency analysis of cylindrical panels. Free vibration analyses of stiffened cylindrical shallow shells are presented in (Mecitoglu and Dokmeci, 1992;Nayak and Bandyopadhyay, 2002;Zhang and Xiang, 2006). Vibration behaviors of anisotropic OCCSs are analyzed by Selmane and Lakis (1997a;1997b) and Toorani and Lakis (2001).…”