... 06 2011 17 01 2012 17 01 2012 dynamic testing minimisation numerical analysis three-term control vibrations control cross check test bench excitation high speed shock mechanical coupling minimization nonlinear modeling oscillations PID sliding mode...

... nonlinear dynamical systems numerical analysis pendulums vibrations inverted pendulum φ 6 potential aerodynamic drag harmonic balance method escape horseshoes chaos In recent years, considerable efforts have been devoted to the study of nonlinear vibrating structures. Among...

... – 367 . García de Jalón , J. , and Bayo , E. , 1994 , Kinematic and Dynamic Simulation of Multibody Systems-The Real-Time Challenge , Springer , New York . 27 07 2010 02 11 2010 28 04 2011 28 04 2011 Lie algebras numerical analysis multibody...

... information with nanoscale resolution. atomic force microscopy bifurcation cantilevers nonlinear dynamical systems numerical analysis The atomic force microscope (AFM) has become an important tool in micro- and nanoscale research since it was invented in the 1980s ( 1 ). A cantilever structure...

... , “ The Vector Parameterization of Motion ,” Nonlinear Dyn. 0924-090X , 33 ( 2 ), pp. 165 – 188 . 10.1023/A:1026008414065 12 05 2010 15 07 2010 15 12 2010 15 12 2010 couplings deformation numerical analysis springs (mechanical) torsion Flexible joints, sometimes...

... 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...

... systems numerical analysis forced strongly nonlinear oscillator asymptotic analysis The majority of techniques for the asymptotic analysis of nonlinear oscillators relies on the use of harmonic generation ( 1 2 3 ). In cases, however, where strong or even essential nonlinearities...

... ̇ ) + Q q where, J ( q ) is the mass matrix, C ( q , q ̇ ) are the nonlinear forces, and Q q is the generalized force. deformation flexible structures momentum numerical analysis recursive functions 16 09 2008 02 03 2010 29 06...

... cases. The remarkable simplicity of the new algorithms opens some interesting perspectives for real-time applications, model-based control, and optimization of multibody systems. Lie groups numerical analysis The numerical simulation of articulated systems including rigid bodies, nonlinear...

... nonlinear normal modes are computed using numerical continuation and gathered in a frequency-energy plot. Based on these results, the damped system is then considered, and the basic mechanisms for energy transfer and dissipation are analyzed. nonlinear dynamical systems numerical analysis oscillators...

... with Newmark’s method and the fourth-order Runge–Kutta (Kutta 4) method are presented. The examples demonstrate the high accuracy and numerical efficiency of the proposed method. nonlinear dynamical systems numerical analysis polynomial approximation Runge-Kutta methods nonlinear dynamics time...

... design for nonlinear systems. Numerical results showed this approach to be effective. 29 02 2008 30 12 2008 19 05 2009 damping nonlinear dynamical systems numerical analysis oscillators vibration control essential nonlinearity optimal control design nonlinear...

... are provided to validate the theory. 31 08 2007 20 02 2008 12 11 2008 continuum mechanics geometry numerical analysis Gough/Stewart platform parallel mechanisms dynamic analysis A Gough/Stewart-type platform (GSP) is a parallel mechanism whose end-effector is positioned...

... to satisfy the principles of work and energy. beams (structures) numerical analysis shear deformation 02 08 2007 27 03 2008 11 11 2008 2009 American Society of Mechanical Engineers ...

... in space. Thus, Thales Alenia Space used this architecture to design a deployable telescope (Fig. 1 ) with a 6-DOF control ( 3 ). actuators force numerical analysis partial differential equations 23 07 2007 08 06 2008 11 11 2008 2009 American Society of Mechanical...

... 0.6518 − 0.4089 0.6604 4.6552 ) 19 06 2007 05 01 2008 19 08 2008 control system analysis discrete time systems nonlinear dynamical systems numerical analysis periodic control perturbation theory robust control time-varying systems Nonlinear...

... conduction Navier-Stokes equations numerical analysis Rayleigh-Benard instability 12 04 2007 09 09 2007 30 04 2008 2008 American Society of Mechanical Engineers ...

... micromechanics numerical analysis Fractional calculus (FC) is a branch of mathematics that deals with integrals and derivatives of noninteger order. FC is a misnomer, because it corresponds to the generalization of the operators to real or complex orders, and other more appropriate names can, and should...

... developed at Politecnico di Milano during the past few years ( 1 2 ). numerical analysis railways road vehicles vehicle dynamics 10 11 2005 03 05 2007 As far as the mean values of lateral contact forces during curve negotiation are concerned, Figs. 16 17 show some...

... chains. Because of Hamel’s original influence, these special Poincaré equations are called the Hamel representations and their usefulness in dynamic simulation and control is investigated. matrix algebra numerical analysis partial differential equations From the beginning, scholars have...