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Keywords: eigenvalues and eigenfunctions
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Journal Articles
Article Type: Research Papers
J. Vib. Acoust. April 2012, 134(2): 021017.
Published Online: January 26, 2012
... beams (structures) damping eigenvalues and eigenfunctions modal analysis vibrations Output-only modal analysis has gained popularity over recent years (for example, Refs. [ 1 – 10 ]). Advantages of output-only analysis over traditional modal analysis are the following: (I) In many real life...
Journal Articles
Journal Articles
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. June 2011, 133(3): 031006.
Published Online: March 25, 2011
.... , and Planchard , J. , 1976 , “ A Method of Finding the Eigenvalues and Eigenfunctions of Self-Adjoint Operators ,” Comput. Methods Appl. Mech. Eng. 0045-7825 , 8 , pp. 201 – 214 . 10.1016/0045-7825(76)90045-1 Bernardi , C. , and Maday , Y. , 1997 , “ Spectral Methods ,” Handbook...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. April 2011, 133(2): 021006.
Published Online: March 3, 2011
... efficient. 19 10 2009 26 05 2010 03 03 2011 03 03 2011 beams (structures) eigenvalues and eigenfunctions Laplace transforms plates (structures) shear modulus springs (mechanical) eigenfrequency beam plate concentrated mass/spring vibration resonator...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. April 2011, 133(2): 021002.
Published Online: March 1, 2011
... 01 03 2011 eigenvalues and eigenfunctions iterative methods viscoelasticity Due to the superior damping characteristics, the dynamics of viscoelastic materials and structures have received significant attention over the last two decades. The key feature of a viscoelastic system...
Journal Articles
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. October 2010, 132(5): 051012.
Published Online: September 1, 2010
... 2010 01 09 2010 01 09 2010 bending discs (structures) eigenvalues and eigenfunctions Galerkin method oscillations rotation vibrations Rotating disks have many industrial applications. However, no real disks are perfectly flat. Even if they are manufactured with the utmost...
Journal Articles
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. October 2010, 132(5): 051010.
Published Online: August 26, 2010
... the dimensionless axially moving speed for different μ ( ς = 0.5 , F = 200 , K = 10 , and λ = 0.1 ) 20 09 2009 22 03 2010 26 08 2010 26 08 2010 beams (structures) difference equations eigenvalues and eigenfunctions elastic constants...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. February 2010, 132(1): 011006.
Published Online: January 11, 2010
..., and their expressions are collected in Appendix B . 13 03 2008 14 08 2009 11 01 2010 11 01 2010 eigenvalues and eigenfunctions gears inspection vibrations Simple single-stage planetary gears have only one stage and only one planet in each load path. Compound planetary gears...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. February 2010, 132(1): 011001.
Published Online: January 8, 2010
... the excessive force in actuators. 06 03 2007 12 09 2008 08 01 2010 eigenvalues and eigenfunctions feedback matrix algebra MIMO systems numerical analysis singular value decomposition vibration control vibrations orthogonal eigenstructure control eigenstructure assignment...
Journal Articles
Article Type: Technical Briefs
J. Vib. Acoust. October 2009, 131(5): 054501.
Published Online: September 10, 2009
... Matrices and Kernels and Small Vibrations of Mechanical Systems , AMS Chelsea , Providence, RI . 26 09 2008 29 04 2009 10 09 2009 classical mechanics eigenvalues and eigenfunctions nonlinear dynamical systems oscillations oscillators eigenvalue loci eigencurve...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. August 2009, 131(4): 041011.
Published Online: June 8, 2009
... analytical solutions for the shell dispersion relations, the solutions for the n = 0 case are included and discussed in this paper. dispersion cylindrical shell dispersion (wave) dispersion relations eigenvalues and eigenfunctions shells (structures) vibrations 29 04...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. August 2009, 131(4): 041001.
Published Online: May 28, 2009
... operating speeds. automatic balancing rotordynamics balancing flexible driveshafts whirl instability damping eigenvalues and eigenfunctions flexible structures mechanical stability nonlinear dynamical systems nonlinear equations rotors shafts vibration control 02 11 2007...
Journal Articles
Article Type: Technical Briefs
J. Vib. Acoust. June 2009, 131(3): 034503.
Published Online: April 22, 2009
... of the estimated modal parameters. 23 01 2008 10 12 2008 22 04 2009 building condition monitoring eigenvalues and eigenfunctions finite element analysis modal analysis steel stochastic processes structural engineering vibrations spatial structure finite element method field...
Journal Articles
Article Type: Technical Briefs
J. Vib. Acoust. June 2009, 131(3): 034501.
Published Online: April 21, 2009
... yielding a resonance condition as it has been shown to be most effective in this case. eigenvalues and eigenfunctions shock absorbers vibration isolation vibrations 23 12 2007 24 11 2008 21 04 2009 2009 American Society of Mechanical Engineers ...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. June 2009, 131(3): 031001.
Published Online: April 7, 2009
... discretizations may be chosen to obtain high eigenfrequencies. We discuss the stability and convergence of the proposed method. Finally we show some examples. 04 05 2005 19 01 2009 07 04 2009 architectural acoustics boundary-elements methods eigenvalues and eigenfunctions Galerkin method...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. December 2008, 130(6): 061008.
Published Online: October 22, 2008
... efficient, and can be easily modified to accommodate various beam boundary conditions. Numerical experiments show that with the addition of a spatially linear-varying function, the proposed scheme converges very quickly with the exact solution. beams (structures) eigenvalues and eigenfunctions...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. February 2008, 130(1): 011001.
Published Online: November 12, 2007
... − T Λ − 1 Equation 50 shows that ERA can also be realized by generalized eigenvalue decomposition, which is quite similar to the ones used for ITD or LSCE. 22 01 2007 08 07 2007 12 11 2007 eigenvalues and eigenfunctions least squares approximations matrix...