... in the J ournal of A pplied M echanics . 22 06 2021 02 08 2021 02 08 2021 24 08 2021 zero-mass particles classical mechanics complex multi-body systems equations of motion singular mass matrices rolling sphere on rough arbitrary surface computational mechanics...

... of nonlinearity and the initial conditions. The corresponding parameter planes are plotted. Numerical integrations are carried out to confirm the analytical results. 12 03 2008 04 02 2009 16 06 2009 classical mechanics nonlinear systems Mathieu–Duffing equation strong nonlinearity...

..., previously discounted on the basis of a flawed application of the Newton–Euler method, are verified by using Kane’s method together with a new approach for determining the directions of constraint forces. 28 06 2007 29 12 2008 09 03 2009 classical mechanics force variational...

... are the Newton–Euler equations describing force and moment balances. analytical mechanics principle of relaxation of constraints constrained and admissible motions generalized force geometric representation global and local parametrizations classical mechanics 25 11 2007 21 05...

... in their evaluations would make use of the new expressions, are offered. 30 10 2006 10 05 2007 16 01 2008 classical mechanics elasticity stress effects Since the introduction of the notion of a “force” on a singularity or a defect by Eshelby more than a half century ago, the area...

... in the Lorentzian spherical motions have also been obtained. At the end of this study, we have expressed the Euler-Savary formula for the one-parameter Lorentzian spherical motions. 13 07 2005 17 01 2007 geometry classical mechanics kinematics Lorentzian geometry Lorentzian motions Eular...

.... Associate Editor: I. Mezic. 25 March 2003 06 February 2004 09 11 2004 Lagrangian field theory decomposition classical mechanics The formula ( 15a ) appears in published lecture notes ( 24 , p. 89) of Paul Painleve´ (1863–1933). His course, given at the University...

... with constant direction. So, this sequence of the body-force field has a constant direction that is different with Sternberg and Eubanks’ counter-example ( 1 ). And this example supports that property ( d ′ ) should not be neglected, too. 18 04 2004 27 09 2004 classical...

... momentum classical mechanics 12 May 2003 23 October 2003 07 09 2004 Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS . Manuscript received by the Applied Mechanics Division...

... relaxation classical mechanics Viscous damping is the most common model for the modeling of vibration damping. This model assumes that the instantaneous generalized velocities are the only relevant variables that determine damping. Viscous damping models are used widely for their simplicity...

..., and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 20 Mar 2000 24 Apr 2003 10 10 2003 oscillations viscoelasticity damping classical mechanics elastic moduli The application of viscoelastic materials...

... after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 26 Feb 2002 04 Dec 2002 10 10 2003 stochastic processes damping Monte Carlo methods classical mechanics vectors The wavelet transform provides a combined time-scale...

... JOURNAL OF APPLIED MECHANICS . 16 Dec 2001 05 June 2002 10 10 2003 damping classical mechanics Galerkin method vibrations In the investigation of randomly excited multi-degree-of-freedom (MDOF) dynamic systems the power spectral density matrix of the stationary...

... is the Lagrangian function. As a matter of fact, problems in classical mechanics where mass is an explicit function of velocities are hard to conceive, to say the least. 2 Therefore, if just position dependence is considered, we obtain d dt ∂ L ∂ q ˙ j − ∂ L ∂ q j...

... . Manuscript received by the ASME Applied Mechanics Division, Feb. 1, 2001; final revision, Sept. 27, 2002. Associate Editor: A. A. Ferri. 01 Feb 2001 27 Sept 2002 27 03 2003 classical mechanics rotation vibrations perturbation theory Consider a rotating disk/spindle system...

... simplified and a series of analytical results are obtained in this paper. damping perturbation theory stability classical mechanics 18 Apr 2000 26 Sept 2001 16 08 2002 Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS...

... ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS . Manuscript received by the ASME Applied Mechanics Division, Apr. 18, 2000; final revision, Sept. 26, 2001. Associate Editor: D. A. Siginer. 18 Apr 2000 26 Sept 2001 16 08 2002 classical mechanics stability...

... of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 18 April 2000 03 05 2002 classical mechanics dynamics kinematics Since its...

... JOURNAL OF APPLIED MECHANICS . Manuscript received by the ASME Applied Mechanics Division, May 30, 2001; final revision, September 5, 2001. Associate Editor: N. C. Perkins. 30 May 2001 05 September 2001 03 05 2002 damping resonance ageing Bessel functions classical mechanics...

... everywhere. classical mechanics white noise Gaussian noise 20 June 2001 25 Sept 2001 03 05 2002 Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS . Manuscript received...