... parachute dams barotropic compressible fluid boundary layers compressible flow dams flow control Lyapunov methods nonlinear differential equations partial differential equations vibrations 03 08 2009 13 04 2011 02 05 2011 28 11 2011 28 11 2011 Figure 1...

... without resorting to truncation of the model and without the use of in-domain measuring and actuating devices. 29 06 2008 10 12 2009 08 10 2010 08 10 2010 laminates nonlinear differential equations partial differential equations plates (structures) vibration control...

... 2010 19 08 2010 19 08 2010 chaos frequency response nonlinear differential equations plates (structures) structural acoustics vibrations 2010 American Society of Mechanical Engineers ...

... 19 08 2010 diffusion elastic waves hyperbolic equations nonlinear differential equations oscillations vibrations wave equations nonlinear elastic waves nonlinear hyperbolic systems conservation element and solution element method The present paper reports...

... beams (structures) nonlinear differential equations partial differential equations springs (mechanical) vibrations nonhomogeneous nonlinear spring-mass system rotating beam multiple time scale The overall performance of various engineering systems, such as turbomachinery, wind...

... the nonlinear differential equation with odd nonlinearity. Based on the nonlinear differential equation with odd and even nonlinearities, two new nonlinear differential equations with odd nonlinearity are introduced for constructing the analytical approximations to the nonlinear differential equation...

... pressure/average pressure ratio is greater than 8%, the lack of precision in the acoustic wave theory becomes unsatisfactory. 18 04 2008 26 10 2008 22 04 2009 compressible flow compressors nonlinear differential equations partial differential equations pipe flow pipes...

...M. Kamel; H. S. Bauomy The rotor-active magnetic bearing system subjected to a periodically time-varying stiffness having quadratic and cubic nonlinearities is studied and solved. The multiple time scale technique is applied to solve the nonlinear differential equations governing the system up...

... via the linear and the nonlinear creep models are studied and compared. creep nonlinear differential equations railways suspensions (mechanical components) transportation vehicle dynamics wheels curved track critical hunting speed nonlinear creep model eight degrees of freedom system...

... a 1 , 2 ′ = 0 and γ 1 , 2 ′ = 0 , and substituting relation 22 into Eqs. 18 , 19 , 20 , 21 gives two nonlinear differential equations 23 − μ + ( s 1 + s 2 + s 3 ) a 2 = − F sin ϕ 24 σ + 2 ( r 1 + r 2 + r 3...

... is used in deriving the partial differential equation of the microbeam response under the mentioned conditions. Then, implementing the Galerkin’s method the partial differential equation is converted to an ordinary nonlinear differential equation. Finally, the method of multiple scales is used...

... coupled ordinary nonlinear temporal equations and the solution of which is rather involved. On the other hand, if the two variables appearing in the formulation are coupled using a coupling equation, the final equation is an ordinary nonlinear differential equation, the solution of which becomes much...

... than the other physical quantities. Hence, its influence on the hunting stability is almost negligible. Equations 24 , 25 , 26 , 27 show that the governing differential equations of motion are the coupled nonlinear differential equations. It is difficult to figure out the qualitative relations...

... Kirk. 01 June 2003 08 10 2003 machine bearings nonlinear differential equations limit cycles shear modulus rotors vibrations structural engineering computing continuum mechanics Lund set out to define the circumstances under which stable limit-cycle orbits could...

... in the Jørgen Lund Special Issue of the JOURNAL OF VIBRATION AND ACOUSTICS . Manuscript received June 2003. Guest Associate Editor: R. Gordon Kirk. 01 June 2003 08 10 2003 machine bearings vibrations continuum mechanics elasticity nonlinear differential equations rotors Jørgen...

.... brakes vibration control acoustic noise numerical stability elasticity mechanical contact finite element analysis nonlinear differential equations eigenvalues and eigenfunctions structural acoustics 06 March 2001 01 July 2002 06 01 2003 Contributed by the Technical...

... between the drillstring and the well bore-hole. In addition, stabilizers are used to guide the drill-collars in the same way as the bearings in rotor machinery. machining rotation sliding friction bending nonlinear differential equations oil technology natural gas technology abrasion...

... for publication in the JOURNAL OF VIBRATION AND ACOUSTICS . Manuscript received July 2001; revised March 2002. Associate Editor: L. A. Bergman. 01 July 2001 01 March 2002 20 09 2002 damping stress-strain relations nonlinear differential equations viscoelasticity oscillations...

.... Associate Editor: L. A. Bergman. 01 Feb 2000 01 Aug 2000 relaxation bifurcation Monte Carlo methods random processes vibrations elasticity partial differential equations nonlinear differential equations boundary-value problems Modern mechanical design and analyses...

... AND ACOUSTICS . Manuscript received March 1999; revised May 2000. Associate Technical Editor: C. Pierre. 01 March 1999 01 May 2000 vibrations nonlinear differential equations resonance oscillations nonlinear dynamical systems In this paper we analyze the modal equations obtained...