In this paper, the nonlinear dynamical behavior of an isotropic rectangular plate, simply supported on all edges under influence of a moving mass and as well as an equivalent concentrated force is studied. The governing nonlinear coupled PDEs of motion are derived by energy method using Hamilton’s principle based on the large deflection theory in conjuncture with the von-Karman strain-displacem...

Geometrically nonlinear analysis of thin circular plates on Winkler elastic foundations has been studied in this paper. The nonlinear partial differential equations obtained from von Karman’s large deflection plate theory have been solved by using the discrete singular convolution (DSC) in the space domain and the harmonic differential quadrature (HDQ) method in the time domain.

This paper presents exact solutions for nonlinear large deflection of thin circular membrane loaded by a central point force using blister test with two types of boundary conditions and with or without residual stress cases. A comparisonwith existing solutions is presented, and a geometrically nonlinear finite element analysis (FEA) is conducted to verify our analytical solutions. & 2008 Elsevi...

Particle swarm optimization (PSO) algorithm is a heuristic optimization technique based on colony intelligence, developed through inspiration from social behaviors of bird flocks and fish schools. It is widely used in problems in which the optimal value of an objective function is searched. Geometrically nonlinear analysis of trusses is a problem of this kind. The deflected shape of the truss w...

In this paper we provide conditions for nonlinear time series to be geometrically explosive with positive probability. The paper complements earlier work by the authors on geometrically ergodic nonlinear time series, showing that the conditions for examples in the earlier paper are sharp. We also study the transience of polynomial autoregression models.

Abstract This study presents a novel isogeometric Euler–Bernoulli beam formulation for geometrically nonlinear analysis of multi-patch structures. The proposed is derived from the three-dimensional continuum theory where axis and director vectors cross-sections are used to characterize configurations. translational displacements axial cross-sectional rotation along considered as unknown kinemat...

This paper presents a co-rotational beam formulation, which is used for geometric nonlinear analysis with the differential reproducing kernel (DRK) approximation collocation method. The present based on Timoshenko hypothesis, capable of effectively solving geometrically problems such as large deformation, postbuckling, lateral buckling, and snap-through problems. kinematics have been constructe...