Non-linear dynamic instability analysis of thin-walled stiffener beam subjected to uniform harmonic in-plane loading

2017 ◽  
Vol 408 ◽  
pp. 383-399 ◽  
Author(s):  
Amit Yadav ◽  
Sarat Kumar Panda ◽  
Tanish Dey
Keyword(s):  
Dynamic Instability ◽  
Instability Analysis ◽  
Linear Dynamic ◽  
Non Linear ◽  
Thin Walled

scholarly journals Non-linear dynamic contact of thin-walled structures

PAMM ◽  
2008 ◽  
Vol 8 (1) ◽  
pp. 10267-10268
Author(s):  
Thomas Cichosz ◽  
Manfred Bischoff ◽  
Stefan Hartmann ◽  
Ekkehard Ramm
Keyword(s):  
Dynamic Contact ◽  
Linear Dynamic ◽  
Thin Walled Structures ◽  
Non Linear ◽  
Thin Walled

Dynamic stability of a curved beam under sinusoidal loading

2002 ◽  
Vol 216 (4) ◽  
pp. 209-217 ◽  
Author(s):  
W Y Poon ◽  
C F Ng ◽  
Y Y Lee
Keyword(s):  
Dynamic Instability ◽  
Dynamic Responses ◽  
Critical Parameters ◽  
Small Oscillations ◽  
Linear Dynamic ◽  
Buckled Beam ◽  
Non Linear ◽  
Spring Type ◽  
Characteristic Features ◽  
Flat Beam

This paper is a study of snap-through properties of a non-linear dynamic buckling response to sinusoidal excitation of a clamped—clamped buckled beam. Using a simple formula, the highly non-linear motion of snap-through and its effects on the overall vibration response have been studied. The non-linear governing equation obtained here is solved using the Runge—Kutta (RK-4) numerical integration method. Critical parameters at the onset of the snap-through motion, which vary with different damping coefficients and linear circular frequencies of a flat beam, are studied and given in terms of the excitation level and response displacement. The relationships between static and dynamic responses at the start of the snap-through motion are also predicted. The analysis brings out various characteristic features of the phenomenon, i.e. (a) small oscillations about the buckled position, (b) chaotic motion of intermittent snap-through and (c) large oscillations of continuous snap-through motion crossing the two buckled positions. The non-linear dynamic instability behaviour of the beam, changing from the softening spring type to the hardening type, is due to the snap-through motion.

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