... transverse and axial vibrations are introduced next. Responses and vibratory energies of the linear and nonlinear models are calculated for both stable and unstable cases using three numerical methods: Galerkin's method, the explicit finite difference method, and the implicit finite difference method...

... 2011 13 09 2011 13 12 2011 13 12 2011 deformation finite difference methods membranes Fluid–structure interaction (FSI) phenomena appear in many places, e.g., biological systems and industrial processes. Conventionally, the computational fluid dynamics is more commonly...

... electrostatic force. In this study, this problem is resolved by modeling the electrostatic system using a continuous model and solving the resulting governing equation of motion using a hybrid scheme comprising the differential transformation method and the finite difference method. The feasibility...

... biomagnetism channel flow differential equations finite difference methods friction haemorheology heat transfer magnetisation magnetocaloric effects non-Newtonian fluids viscoelasticity biomagnetic fluid non-Newtonian model visco-elasticity stretching walls The study of biomagnetic...

... problem. 27 12 2006 18 11 2008 21 07 2009 beams (structures) finite difference methods finite element analysis interpolation iterative methods laminates oscillations vibrations The problem of calculating the dynamic response of structures excited by one or more moving...

...M. Abbaspour; K. S. Chapman The fully implicit finite-difference method is used to solve the continuity, momentum, and energy equations for flow within a gas pipeline. This methodology (1) incorporates the convective inertia term in the conservation of momentum equation, (2) treats...

... to be possible for certain drive inner geometry configurations. 24 04 2006 16 03 2007 optical disc storage disc drives resonance vibrations finite element analysis finite difference methods rotating disk dynamics disk modes airflow-induced vibration critical speed resonance drive...

.... 09 09 2004 25 01 2006 turbines blades beams (structures) vibrations crack detection finite difference methods Young's modulus Monte Carlo methods manufacturing processes Effective failure detection requires a good understanding of the characteristics of the monitored...

... of the up-wind finite difference method, using combinations of explicit and implicit methods for the numerical integration of the different balance equations. An adaptive nodalization scheme is implemented, minimizing the error of the propagation of small perturbations through the discretized volumes...

... 05 2005 07 12 2005 shells (structures) buckling mechanical stability Galerkin method Newton-Raphson method finite difference methods nonlinear dynamical systems The behavior of shell-like structures under buckling is characterized by a limit point with a snap through...

... separation, was calculated by the use of finite difference forms of cavity continuity equation. cavitation bubbles pipe flow finite difference methods two-phase flow 2006 American Society of Mechanical Engineers ...

... , Fluid Mechanics , 1st English Ed. , Pergamon Press , Addison-Wesley, New York. 21 12 2004 07 02 2005 acoustic wave propagation elasticity Poisson ratio boundary-value problems finite difference methods Laboratory...

... of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 09 Dec 2001 25 Sep 2002 11 06 2003 modelling finite difference methods finite element analysis dynamics In the theoretical and computational modeling of nanoscale devices and phenomena, e.g., nanooscillators...

... 08 January 2001 granular materials finite difference methods fracture mechanics bifurcation stress analysis shear strength In recent years, granular materials have received an increasing attention due to their technologically challenging behavior in diverse applications...

... a body force term due to van der Waals attractions. The governing equation for the film thickness was solved by finite difference method as part of an initial value problem for spatial periodic boundary conditions. A decrease in the cylinder radius will induce a stronger lateral capillary force and thus...

... of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 22 July 1999 01 June 2000 wave propagation elasticity stress analysis shear deformation compressive strength finite difference methods Static azimuthal shear of a compressible hyperelastic solid has been...