... 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 In many applications, several mechanical systems are submitted to high speed...

... 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...

... equations. The overall system of r geometric constraints can be summarized as 29 h ( q ) = 0 If V n is the configuration space of the tree topology MBS, then V = { q ∊ V n ∣ h ( q ) = 0 } is that of the multiloop MBS. Lie algebras numerical...

... Veeco-Instruments , 2010 , Veeco probes, http://www.veecoprobes.com 15 04 2010 24 02 2011 14 04 2011 14 04 2011 atomic force microscopy bifurcation cantilevers nonlinear dynamical systems numerical analysis The atomic force microscope (AFM) has become...

.../A:1026008414065 12 05 2010 15 07 2010 15 12 2010 15 12 2010 couplings deformation numerical analysis springs (mechanical) torsion Flexible joints, sometimes called bushing elements or force elements, are found in all multibody dynamics codes. In their simplest form...

... equations Galerkin method integro-differential equations nonlinear equations numerical analysis Initial value fractional differential/integrodifferential equations have been studied in many areas of science and engineering including viscoelasticity ( 1 2 ), control ( 3 4 5 ), fluid mechanics...

... Using a Non-Smooth Temporal Transformation (NSTT) ,” Physica D 0167-2789 , 100 , pp. 145 – 164 . 10.1016/S0167-2789(96)00171-6 28 07 2009 16 11 2009 07 10 2010 07 10 2010 bifurcation harmonic oscillators nonlinear dynamical systems numerical analysis...

... is incurred. Thus, the total computational effort for flexible multibody systems includes an additional order ( ∑ i = 1 N n i 3 ) operations. 16 09 2008 02 03 2010 29 06 2010 29 06 2010 deformation flexible structures momentum numerical analysis recursive functions...

.... Lie groups numerical analysis 25 03 2009 02 10 2009 14 05 2010 14 05 2010 We consider a flexible multibody system whose dynamics evolves on an n -dimensional manifold G with a Lie group structure (see Ref. 30 for mathematical details about Lie groups...

..., Computational, and Experimental Methods , Wiley-Interscience , Chichester, UK . 14 06 2008 19 11 2008 02 09 2009 nonlinear dynamical systems numerical analysis oscillators passive vibration mitigation energy transfer nonlinear primary structure essential nonlinearity...

... . Xie , Y. M. , 1996 , “ An Assessment of Time Integration Schemes for Non-Linear Dynamic Equations ,” J. Sound Vib. 0022-460X , 192 , pp. 321 – 331 . 10.1006/jsvi.1996.0190 29 05 2008 03 02 2009 25 08 2009 nonlinear dynamical systems numerical analysis...

... dynamical systems numerical analysis oscillators vibration control essential nonlinearity optimal control design nonlinear energy sink The problem of controlling or suppressing oscillations of engineering structures in mechanical systems with two- and many-degrees-of-freedom was studied...

... ), pp. 1119 – 1140 . Innocenti , C. , 2007 , private communication. 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...

... 841.00 Bending mode shapes of the cantilever beam 02 08 2007 27 03 2008 11 11 2008 beams (structures) numerical analysis shear deformation The research activities in the absolute nodal coordinate formulation can be categorized into two groups. In the first...

... ). 23 07 2007 08 06 2008 11 11 2008 actuators force numerical analysis partial differential equations Parallel manipulators provide several advantages over serial architectures such as greater load carrying capability and high stiffness. An exhaustive overview of different...

... time systems nonlinear dynamical systems numerical analysis periodic control perturbation theory robust control time-varying systems Nonlinear periodically time-varying systems appear in various engineering applications such as structures under periodic loading ( 1 ), helicopter rotor...

.... 12 04 2007 09 09 2007 30 04 2008 Benard convection bifurcation chaos fluid oscillations heat conduction Navier-Stokes equations numerical analysis Rayleigh-Benard instability Lorenz model Duffing equation coupled oscillators chaos The original Rayleigh...

... is the maximum amplitude, and − 1 ⩽ rnd ( t ) ⩽ 1 is a random number generator. 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...

... on the right wheel of the leading axle Test case No. 1, ripage force on the leading axle 10 11 2005 03 05 2007 numerical analysis railways road vehicles vehicle dynamics Urban rail vehicles, especially tramcars, are characterized by structural configurations...

... was used to numerically integrate the two-link system. 08 12 2005 16 04 2007 matrix algebra numerical analysis partial differential equations From the beginning, scholars have sought transformations that simplify the governing equations of motion of mechanical systems...