... problems without delay. The proposed methodology is illustrated using examples of linear and weakly nonlinear heat and wave equations with bounded continuous space-time varying coefficients. 26 02 2011 02 09 2011 22 12 2011 22 12 2011 initial value problems nonlinear equations...

... 2011 01 02 2011 beams (structures) Galerkin method impact (mechanical) mechanical contact micromechanical devices nonlinear equations springs (mechanical) Stiction failures are now posing a significant challenge to the commercial deployment of RF (Radio Frequency) MEMS...

... equations Galerkin method integro-differential equations nonlinear equations numerical analysis 15 09 2009 18 08 2010 28 10 2010 28 10 2010 Remark 8. The DAE system approximates the original dynamic system and not just a specific solution. Beyond direct numerical solution...

.... To model this process, first, a new approach is developed to determine the hammer output speed under input pneumatic pressure. Second, impact dynamics is applied to model the impact acting on the rivet under the hammer hits. Finally, elastoplastic analysis is carried out to derive nonlinear equations...

...Julie J. Parish; John E. Hurtado; Andrew J. Sinclair Nonlinear equations of motion are often linearized, especially for stability analysis and control design applications. Traditionally, the full nonlinear equations are formed and then linearized about the desired equilibrium configuration using...

... stable period-2 subharmonic motion is observed. 25 07 2007 26 03 2008 11 11 2008 bifurcation boundary-value problems integro-differential equations nonlinear equations perturbation theory The dynamic analysis of thin wall beams, commonly encountered in civil...

... that the equilibrium conditions can be automatically satisfied, the objective of the GA is to bring e to zero, that is, find F such that 10 e = 0 This equation defines a set of linear or nonlinear equations, which can be solved by a properly chosen algorithm of linear or nonlinear equation solvers...

... and the electrostatic force on the structural mode shapes, the pressure distributions, the natural frequencies, and the quality factors. 12 07 2006 07 01 2007 micromechanical devices damping Q-factor beams (structures) finite element analysis nonlinear dynamical systems nonlinear equations...

...Rudranarayan M. Mukherjee; Kurt S. Anderson This paper presents an efficient algorithm for the dynamics simulation and analysis of multi-flexible-body systems. This algorithm formulates and solves the nonlinear equations of motion for mechanical systems with interconnected flexible bodies subject...