Journal of Applied Nonlinear Dynamics 

About: Journal of Applied Nonlinear Dynamics is an academic journal published by L&H Scientific Publishing LLC. The journal publishes majorly in the area(s): Nonlinear system & Computer science. It has an ISSN identifier of 2164-6457. Over the lifetime, 298 publications have been published receiving 1015 citations.

Analytical Routes of Period-1 Motions to Chaos in a Periodically Forced Duffing Oscillator with a Twin-well Potential

Abstract: In this paper, analytical routes of period-1 motions to chaos in the Duffing oscillator with a twin-potential well are investigated through the generalized harmonic balance method. The analytical solutions of period-m motions are presented by the Fourier series, and the corresponding Hopf bifurcation of periodic motions leads to new periodic motions with period-doubling. Three analytical routes of asymmetric period-1 motions to chaos are presented comprehensively. To verify approximate, analytical periodic solutions, numerical simulations are carried out. In the analytical routes, the unstable periodic motions are presented, and such analytical routes with unstable periodic motions can help one find unstable chaos. Such unstable chaos cannot be obtained simply via the time going to infinity (i.e., t→ꝏ)

Aeroelastic stability analysis of high aspect ratio aircraft wings

Abstract: Free vibration and flutter analyses of two types of high aspect ratio aircraft wings are presented. The wing is idealised as an assembly of bending-torsion coupled beams using the dynamic stiffness method leading to a nonlinear eigenvalue problem. This problem is solved using the Wattrick-Williams algorithm yielding natural frequencies and mode shapes. The flutter analysis is carried out using the normal mode method in conjunction with generalised coordinates and two-dimensional unsteady aerodynamic theory of Theodorsen. This is essentially a complex eigenvalue problem in terms of both air-speed and frequency. The flutter determinant is solved by an iterative procedure covering a wide range of air-speeds and frequencies. The computed natural frequencies, mode shapes, flutter speeds and flutter frequencies are compared and contrasted for the two type of aircraft wings and some conclusions are drawn.

Simulations of Post-impact Skin/core Debond Growth in Sandwich Plates Under Impulsive Loading

Abstract: In this study, the transient dynamics of a sandwich plate with post impact zone is examined. The dynamic response of the sandwich plate is simulated by using the finite element code ABAQUS. The damage mechanics approach implemented into ABAQUS via cohesive elements is applied to model the debonding propagation under impulsive loading. To demonstrate the effectiveness of the FE model developed, a foam-cored sandwich plate with an initial penny-shaped impacted region is modelled. The influence of the skin-to-core debond on the global nonlinear dynamics of the sandwich plate is studied in detail.