... described by classical mechanics—a necessary and sufficient condition is that [ 6 ] (43) R a n k ( [ M U | A T ] ) = Number of components in column vector q We could, if we wanted to, add this additional constraint as an additional row to the set...

... 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...

... constraint forces classical mechanics force variational techniques 28 06 2007 29 12 2008 09 03 2009 2009 American Society of Mechanical Engineers ...

... Parameters of Planar Mechanisms ,” Mech. Mach. Theory 0094-114X , 37 , pp. 971 – 984 . 25 11 2007 21 05 2008 20 08 2008 classical mechanics analytical mechanics principle of relaxation of constraints constrained and admissible motions generalized force geometric...

... 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 In Lagrangian mechanics, under certain conditions, the Jacobi energy integral exists and plays a fundamental role (see 1 2 3 4 5 6 ). More...

... classical mechanics stress effects The classical uniqueness theorem does not hold at concentrated-load points (singularities). To assure the unique solution to a concentrated-load problem, each concentrated load is often replaced with a sequence of distributed loadings over the load region...

..., and will be accepted until four months after final publication in the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 12 May 2003 23 October 2003 07 09 2004 linear momentum classical mechanics The subject of axially moving media has attracted considerable attention. Earlier...

... of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 20 November 2001 20 February 2003 05 01 2004 damping eigenvalues and eigenfunctions relaxation classical mechanics Viscous damping is the most common model for the modeling of vibration damping. This model...

..., 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...

... of the excitation and the spectral properties of the wavelet function used ( 12 13 14 ). stochastic processes damping Monte Carlo methods classical mechanics vectors 26 Feb 2002 04 Dec 2002 10 10 2003 Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY...

... 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...

... OF APPLIED MECHANICS . 27 April 2001 20 February 2003 10 10 2003 jets impact (mechanical) hydrodynamics tensors classical mechanics Variable-mass systems have been the focus of a large number of problems in classical mechanics. As early as in 1857, Cayley 1 discussed...

... . 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...

... 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 damping perturbation theory stability classical mechanics...

... 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...

.... The systems may have holonomic and/or nonholonomic constraints, and the constraint forces may or may not satisfy D’Alembert’s principle at each instant of time. The explicit equations lead to new fundamental principles of analytical mechanics. 18 April 2000 03 05 2002 classical mechanics...

... 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...

.... Associate Editor: N. C. Perkins. 20 June 2001 25 Sept 2001 03 05 2002 classical mechanics white noise Gaussian noise Consider the following equation of motion (1) x ¨ + 2 α x [ ˙ 1 + η t ] + Ω 2 x [ 1 + ξ t ] = ζ t where...