Non-linear dynamic instability analysis of mono-symmetric thin walled columns with various boundary conditions

2017 ◽  
Vol 126 ◽  
pp. 242-254 ◽  
Author(s):  
Amit Yadav ◽  
Sarat Kumar Panda ◽  
Tanish Dey
Keyword(s):  
Boundary Conditions ◽  
Dynamic Instability ◽  
Instability Analysis ◽  
Various Boundary Conditions ◽  
Linear Dynamic ◽  
Non Linear ◽  
Thin Walled

Coupled Dynamic Instability Analysis of Thin-Walled Columns Subjected to Harmonic Axial Loading

2018 ◽  
Vol 10 (05) ◽  
pp. 1850051 ◽  
Author(s):  
Amit Yadav ◽  
Sarat Kumar Panda ◽  
Tanish Dey
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Cross Section ◽  
Dynamic Instability ◽  
Axial Loading ◽  
Mode Shapes ◽  
Instability Analysis ◽  
Aspect Ratios ◽  
Instability Regions ◽  
Thin Walled

This paper presents triply coupled vibrations and instability analysis of thin-walled columns having a non-symmetrical open cross-section. Vlasov’s theory is used to derive the governing differential equations for coupled flexural and torsional vibrations. A numerical method is presented to determine the exact natural frequencies and corresponding mode shapes in terms of real functions. Employing Galerkin’s method, the coupled partial differential equations are reduced to a set of coupled Mathieu type equations. Following Bolotin’s method, the principal instability regions of thin-walled column with a non-symmetrical cross-section having various boundary conditions are determined. Numerical examples are presented to examine the effect of different boundary conditions, aspect ratios, static and dynamic load factors on principal instability regions. The study of response and corresponding phase plot in stable and unstable regions are carried out to identify the dynamic instability behavior.

Sign in / Sign up

Export Citation Format

Share Document