... Damping Frequency Damping Mode 1 0.4209 0.0119 0.4208 0.0125 Mode 2 1.0000 0.0050 0.9958 0.0050 Mode 3 1.6801 0.0030 1.7844 0.0054 18 12 2009 07 04 2010 26 01 2012 26 01 2012 beams (structures) damping eigenvalues and eigenfunctions modal...

... beams (structures) damping differential equations digital control eigenvalues and eigenfunctions finite element analysis flexible structures polymers structural acoustics tensile strength vibration control Research has been intensifying over the past two decades regarding active...

... beams (structures) bending cantilevers damping eigenvalues and eigenfunctions sensitivity analysis structural acoustics time-domain analysis rotating beam torsional and bending vibrations Hamilton’s principle parameter sensitivity analysis complex eigenvalues The study...

.... , 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...

... 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...

... with viscous damping. eigenvalues and eigenfunctions iterative methods viscoelasticity 10 10 2009 29 04 2010 01 03 2011 01 03 2011 2011 American Society of Mechanical Engineers ...

... continuum mechanics damping eigenvalues and eigenfunctions oscillators vibrations Frequency analysis of combined dynamical systems consisting of linear structures carrying S lumped attachments has received considerable attention over the years. Significant developments and contributions...

... 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 care...

... beams (structures) difference equations eigenvalues and eigenfunctions elastic constants friction thermoelasticity vibrations thermoelastic coupling axially moving beam frictional contact vibration characteristics differential quadrature method The vibration characteristics...

... – 1.08 X , where X is the rotor running speed for bearing designs 1 and 2. 27 06 2009 28 01 2010 26 08 2010 26 08 2010 damping eigenvalues and eigenfunctions elastic constants frequency response machine bearings modal analysis reduced order systems shafts...

... Derivatives for Structures With Repeated Eigenvalues ,” AIAA J. 0001-1452 , 26 , pp. 867 – 871 . 10.2514/3.9980 eigenvalues and eigenfunctions gears inspection vibrations Adjustment of planetary gear natural frequencies to avoid resonant operating conditions is important in the design...

... Golub , G. H. , and Loan , C. F. V. , 1996 , Matrix Computations , The Johns Hopkins University Press , Baltimore, MD . 06 03 2007 12 09 2008 08 01 2010 eigenvalues and eigenfunctions feedback matrix algebra MIMO systems numerical analysis singular value...

... eigenvalue and eigenvector derivatives. 26 09 2008 29 04 2009 10 09 2009 classical mechanics eigenvalues and eigenfunctions nonlinear dynamical systems oscillations oscillators eigenvalue loci eigencurve veering It is common practice in a variety of engineering...

... 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...

... driveshafts whirl instability damping eigenvalues and eigenfunctions flexible structures mechanical stability nonlinear dynamical systems nonlinear equations rotors shafts vibration control 02 11 2007 06 10 2008 28 05 2009 This paper conducts a pioneering study...

... 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...

... q 3 . Then we repeat this procedure with an absorber of mass m a = 0.5   kg . eigenvalues and eigenfunctions shock absorbers vibration isolation vibrations The dynamic vibration absorber exists over a hundred years and is now indispensable as a means of vibration...

... 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...

... (structures) eigenvalues and eigenfunctions elasticity series (mathematics) springs (mechanical) vibrations Frequency analysis of combined dynamical systems consisting of beams carrying lumped attachments has been studied extensively over the years. Commonly used analytical approaches include...

.../j.ymssp.2007.05.007 (to be published). eigenvalues and eigenfunctions least squares approximations matrix decomposition modal analysis parameter estimation time-domain analysis vibrations A fundamental problem in experimental modal analysis is to extract modal parameters of dynamical...