Dynamic buckling of an inextensible elastic ring: Linear and nonlinear analyses

Nonlinear Dynamic Buckling of a Compressed Elastic Column*

Nonlinear Buckling of Circular Nano Plates on Elastic Foundation

The following article investigates nonlinear symmetric buckling of moderately thick circular Nano plates with an orthotropic property under uniform radial compressive in-plane mechanical load. Taking into account Eringen nonlocal elasticity theory, principle of virtual work, first order shear deformation plate theory (FSDT) and nonlinear Von-Karman strains, the governing equations are obtained ...

Nonlinear waves in an inextensible flexible helix

The complete analytical solution of the governing nonlinear vector equations is found which describes periodic and solitary propagating-rotating waves in an initially helical fiber. A detailed description of various types of these waves is given. The solitary wave velocity is found to be proportional to the square root of the amplitude of the internal force, and the effective wave length is sho...

Thermal buckling and post-buckling of FGM Timoshenko beams on nonlinear elastic foundation

Buckling and post-buckling thermomechanical deformations of a functionally graded material (FGM) Timoshenko beam resting on a two-parameter nonlinear elastic foundation and subjected to only a temperature rise have been numerically investigated with the shooting method. The material properties are assumed to vary only in the thickness direction according to a power law function. Through-the-thi...

Dynamic Interaction between a Rigid Body and an Elastic Ring

Dynamic interaction between two bodies, where one is significantly more flexible than the other, is common (e.g. rotor-casing contact). This paper presents a linear model for simulating contact between rigid and flexible bodies. The motion between contacts is predicted by modal superposition, using separate models for the two components. During contact, the models are coupled via a linear conta...