1-20 of 20
Keywords: nonlinear differential equations
Close
Follow your search
Access your saved searches in your account

Would you like to receive an alert when new items match your search?
Close Modal
Sort by
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. December 2011, 133(6): 061009.
Published Online: November 28, 2011
... Direct Method,” J. Franklin Inst. , 281 , pp. 51 – 72 . 10.1016/0016-0032(66)90067-6 03 08 2009 13 04 2011 02 05 2011 28 11 2011 28 11 2011 boundary layers compressible flow dams flow control Lyapunov methods nonlinear differential equations partial...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. December 2010, 132(6): 061009.
Published Online: October 8, 2010
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. October 2010, 132(5): 051004.
Published Online: August 19, 2010
... response nonlinear differential equations plates (structures) structural acoustics vibrations rectangular thin plate nonlinear vibration frequency-response function Thin plates have been widely used in many engineering structures, such as shuttles and large space stations...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Vib. Acoust. October 2010, 132(5): 054502.
Published Online: August 18, 2010
... 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 turbines, robotic manipulators...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. October 2009, 131(5): 051010.
Published Online: September 21, 2009
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. June 2009, 131(3): 031007.
Published Online: April 22, 2009
... compressible flow compressors nonlinear differential equations partial differential equations pipe flow pipes pulsatile flow pressure pulsation piping system reciprocating compressor finite disturbance theory acoustic theory Pressure pulsation with large amplitude affects valve...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. June 2009, 131(3): 031009.
Published Online: April 22, 2009
...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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. February 2008, 130(1): 011009.
Published Online: November 15, 2007
... via the linear and the nonlinear creep models are studied and compared. When α i = 1 , the heuristic nonlinear creep model [Eq. 7 ] is reduced to the linear creep model, and the nonlinear differential equations [Eqs. 23 , 24 ] can be reduced to the governing differential equations...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. October 2006, 128(5): 646–652.
Published Online: February 14, 2006
... 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 ) a 2 = − 2 F cos ϕ...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. October 2006, 128(5): 611–615.
Published Online: January 14, 2006
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Vib. Acoust. April 2006, 128(2): 251–255.
Published Online: October 27, 2005
... 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 simpler and can be solved by using any standard method to obtain...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. August 2005, 127(4): 324–332.
Published Online: August 14, 2004
... of motion are the coupled nonlinear differential equations. It is difficult to figure out the qualitative relations of physical parameters. However, since the roll motion will result in lateral forces, Eq. 24 , this may explain the fact that in most cases, the critical hunting speeds evaluated by the 6-DOF...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. October 2003, 125(4): 448–454.
Published Online: October 8, 2003
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. January 2003, 125(1): 53–58.
Published Online: January 6, 2003
... brakes vibration control acoustic noise numerical stability elasticity mechanical contact finite element analysis nonlinear differential equations eigenvalues and eigenfunctions structural acoustics There are many engineering systems involving moving loads, such as vehicle brakes...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. January 2003, 125(1): 46–52.
Published Online: January 6, 2003
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Vib. Acoust. October 2002, 124(4): 642–645.
Published Online: September 20, 2002
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. January 2001, 123(1): 45–52.
Published Online: August 1, 2000
... of Section II is used together with relation ( 23 ) for estimating the stiffness parameters z t . The resulting nonlinear differential equation is solved using Monte Carlo simulation for three different values of the relaxation slope parameter λ=0.05, 0.1, and 0.15 and the corresponding results...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. October 2000, 122(4): 355–364.
Published Online: May 1, 2000
... 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...