Analysis of Cylindrical Shells Using Generalized Differential Quadrature

Abstract

The analysis of cylindrical shells using an improved version of the differential quadrature method is presented. The generalized differential quadrature (GDQ) method has computational advantages over the existing differential quadrature method. The GDQ method has been applied in solutions to fluid dynamics and plate problems and has shown superb accuracy, efficiency, convenience, and great potential in solving differential equations. The present article attempts to apply the method to the solutions of cylindrical shell problems. To illustrate the implementation of the GDQ method, the frequencies and fundamental frequencies for simply supported-simply supported, clamped-clamped, and clamped-simply supported boundary conditions are determined. Results obtained are validated by comparing them with those in the literature.

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

“…r=E p of a simply supported empty cylinder are compared with the solution derived using generalized differential quadrature method (DQM) by Loy et al [2] as shown in Table 1. They are varied with circumferential wave mode, n for axial wave number m = 1.…”

“…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.…”

“…Amendments in shell physical quantities are inducted to enhance strength and stability of cylindrical shells (CSs) [1,2]. Additional burden due to fluid factor on a physical system may cause damage to it.…”

Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations

“…Table 2 shows the comparison of the variation of frequency parameter of isotropic cylindrical shells with circumferential wave number n and h/R ratio to that of Loy et al [33] for simply-supported end condition having shell parameters (m = 1, L/R = 20). In Table 3, comparison of natural frequencies (Hz) for simply-supported type I and type II FGM cylindrical shell is made with Loy et al [6] against circumferential wave number n for various Tables 4, 5, and 6, variations of natural frequencies (Hz) against circumferential wave number n are given for types I & II FG cylindrical shells on elastic foundation.…”

Determination of rotating cylindrical shell natural frequencies

“…* Ω kj -частота для k-й окружной и j-й осевой гармоники) для случая собственных колебаний цилиндрической оболочки с различными граничными условиями с данными из литературы [8,9,[11][12][13][14]. В табл.…”