Free vibration analysis of cylindrical panels with spiral cross section

Abstract

This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Highlights  New formulation for vibration behavior of spiral cylinders is proposed.  A general procedure is applied to analyze the effect of boundary conditions.  Effect of separation distance in spiral cylinders on natural frequency is studied.  New results on vibration characteristics of spiral cylinders are presented.  Based on circular cylinders, a new technique is developed for spiral cylinders design.

A separation‐of‐variable method for eigenbuckling analysis of closed and open circular cylindrical shells

“…To solve the different characteristic equations, various modal functions meeting the BC were proposed, such as the trigonometric series [52][53][54], Fourier series [13,55,56], power series [28], Chebyshev function [57], polynomials [58], et al Substitution of these modal expressions into the characteristic equations leads to a set of algebraic equations. Then, the unknown coefficients or some ordinary differential equations are generated.…”