Geometrically nonlinear forced vibrations of three dimensional structures, due to harmonic excitations, are investigated in the frequency domain. Structures of elastic materials are considered and the discretized equation of motion is derived by the finite element method, using Elmer software. The shooting and the continuation methods are applied to the resulting large scale FEM system by using...

Many important scientiic problems can be formulated as systems of ordinary diieren-tial equations with two-point boundary value constraints (BVODE). Multiple shooting is one of the most widely used numerical techniques for solving BVODE problems. In this work, we present a new distributed parallel numerical algorithm for BVODEs which is based on multiple shooting. We investigate the numerical s...

To increase the predictive power of a model, one needs to estimate its unknown parameters. Almost all parameter estimation techniques in ordinary differential equation models suffer from either small convergence region or enormous computational cost. The method multiple shooting, on other hand, takes place between these two extremes. cost algorithm is mostly due calculation directional derivati...

Dynamic optimization by multiple shooting requires integration and sensitivity calculation. A new semi-implicit Runge-Kutta algorithm for numerical sensitivity calculation of index-1 DAE systems is presented. The algorithm calculates sensitivities with respect to problem parameters and initial conditions, exploiting the special structure of the sensitivity equations. The algorithm is a one-step...

The present study examined the relationships between shooting accuracy and shooters' behavioral performance, i.e., postural balance and gun barrel stability, among novice rifle shooters in intra- and inter-individual levels. Postural balance and rifle stability were assessed in terms of anteroposterior (VEL(AP)) and mediolateral (VEL(ML)) sway velocity of the movement of center of pressure, and...

the main purpose of this paper is to introduce a boundary layer analysis for the fluid flow andheat transfer characteristics of an incompressible nanofluid flowing over a permeable isothermalsurface moving continuously. the resulting system of non-linear ordinary differential equations issolved numerically using the fifth–order runge–kutta method with shooting techniques usingmatlab and maple s...